Reasoning & Data Sufficiency

LOGICAL REASONING FOR CAT,MAT,GMAT, & OTHER COMPETITIVE EXAMINATIONS AFTERSCHO☺OL – DEVELOPING CHANGE MAKERS CENTRE FOR SOCIAL ENTREPRENEURSHIP PGPSE PROGRAMME – World’ Most Comprehensive programme in social entrepreneurship & spiritual entrepreneurship OPEN FOR ALL FREE FOR ALL

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REASONING & DATA SUFFICIENCY

Dr. T.K. Jain. AFTERSCHO☺OL Centre for social entrepreneurship Bikaner M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk 06/29/09

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The post office is to the east of my school while my house is to the south of school. The market is to the north of the post office. if the distance of the market from the post office is equal to the distance of post office from the school, then in which direction is the market with respect to my school? • North east (answer) 06/29/09

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Starting from a point, Raj walks 12 meters towards North. He turns right and walks 10 Meters, he again turned left and walked 5 meters. How far is he from the starting point (direct distance)? • He has gone (12+5) = 17 meters north and 10 meters East. He is : sqrt(17^2+10^2) •06/29/09 19.72 metersAFTERSCHOOOL from starting point. centre for social entrepreneurship www.afterschoool.tk

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A. All factories employ engineers B. TELCO employs engineers C. TELCO is a factory D. Some engineering companies employ engineers. E. TELCO employs only engineers. (1) ABC (2) ACB (3) CDB (4) ‘None of these 06/29/09

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solution • From ACB, you have logical sequence : • All factories, employ engineer (we have to assume it to be true). Telco is a factory, thus 3rd statement is a logical outcome, because being a factory, Telco must also employ engineers.

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X SAYS TO Y: “I AM 3 TIMES AS OLD AS YOU WERE 2 YEARS AGO.” HOW OLD IS X? 1. Y’S AGE 17 YEARS FROM NOW IS SAME AS X’S PRESENT AGE 2. X’S AGE NINE YEARS FROM NOW IS 3 TIMES ITS PRESENT AGE. 06/29/09

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SOLUTION… • • • • • • • • •

FROM 1ST STATEMENT : 3 (Y – 2) = X OR : X – 3Y = -6 X – Y = 17 WE GET : -2Y = -23 OR Y = 11.5 AND X = 28.5 FROM 2ND STATEMENT : (X+9) = 3X & X – 3Y = -6 2X = 9; X =4.5 AND 3Y = 10.5 Y = 3.5 THUS ANSWER CAN BE OBTAINED FROM EITHER STATEMENT ALONE. ANSWER

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If m men working m hours a day for each of m days produce m units of work ,then the unit of work produce by n men working n hours a day for each of n days is? • START WITH PRESENT PRODUCTION M • M * (N/M) FOR NUMBER OF WORKER * (N/M) (FOR NUMBER OF DAYS)* (N/M) (FOR HOURS) • = N^3 / M^2 ANSWER 06/29/09

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Six persons A, B, C, D, E and F are sifting in six chairs, arranged in two rows and three columns, facing North, not necessarily in the same order. One person sit in each chair. B is to’ the left of C and is exactly ahead of D. A has neither D nor E adjacent to him in the same coloumn, and in the same row. A is neither behind E nor F. which among the tollowing is definitely false? (1) A is behind C. (2) B, A and C are sitting in one row. (3) D, F and A are sifting in one row. 06/29/09

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solution • 1 & 3rd

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A, B, C, D, E, F and G are seven places. The following places are connected by two way roads - A and B; B and C; A and D; E and F; F and C; C and G; A and G; D andE. No other road, apart from those mentioned above, exists. How many distinct routes exist from A to C (without visiting any place more than once)? (1) 0 (2) 1 (3) 2 (4) 3

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SOLUTION • • • • •

There are 3 routes as under : 1. A to B to C 2. A to G to C 3. A to D to E to F to C. Thus we have 3 distinct routes possible.

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Four different faces of a cube are painted in three different colours — Red, Blue and Green. This is done in such a way that one pair of adjacent faces is painted Red, another pair of opposite faces is painted Blue and Green. This cube is now cut into 125 smaller but identical cubes. What is the number of the smaller cubes that have exactly two colours on them? 06/29/09

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solution • Prepare a cube and solve it : you will find 18 smaller cubes with 2 colours on them

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If BURNER is coded as CASOIS how will you code ALIMENT • EACH OF THESE HAS BEEN MOVED UP BY 1 DIGIT. B BY C. U BY A (MOVED IN VOWEL SERIES), R TO S, N TO O, E TO I (VOWEL SERIES) AND R TO S. • SO : SOLUTION : • EMONIOU • (ANSWER). 06/29/09

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FIND THE ODD ONE OUT ? • 41, 45, 47 , 29, 31 • ANSWER : • ALL ARE PRIMARY NUMBERS EXCEPT 45, SO ODD ONE IS 45. ANSWER.

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Q1F, S2E, U6D, W21C,? (a) Y66B (6) Y44B (c) Y88B (d) Z8SB • There is gap of one in Q,S,U,W, so next will be Y. 1 *1+1 = 2, 2*2+2 = 6, 6*3+3= 21, 21*4+4 = 88, so answer is option C. 06/29/09

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A pile of cubes of equal size is arranged as shown in the figure in the next slide. Now the block is dipped into a bucket full of red paint so that only the surfaces of the block get coloured. How many cubes are there in the pile?

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Cube …

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solution • 30 in last column, 25 in next, 20 in next, 15 in next, 10 in next. • Total : 30+25+20+15+10 = 100 answer

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How many cubes are without any colour in the previous picture? • • • •

3 * 3 in 2nd column 3*2 in 3rd column 3*1 in 4th column Total = 9 + 6+3 = 18 answer

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How many cubes are coloured in two faces? • • • •

7 rows with 5 each horizontally 7*5 = 35 14 on each side vertically = 28 = 63 answer

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Find the missing number?

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4

9

25

49

?

361

121

169

289

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

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Solution… • These are squares of prime numbers. We have prime numbers like 2,3,5,7,11,13,17,19. • Now one number is missing. It will also be a square of prime number, so the next prime number is 23. square of 23 is 529 • Answer = 529 • There is no relation between the numbers 06/29/09

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Out of 26 students in a class, 17 opted for Marketing 19 opted for Finance and 2 opted for Social Entrepreneurship. Some students opted for both marketing and finance, what is the number? • •

(26 – 2) = 24. add 19 + 17 = 36 36 – 24 = 12 so 12 students opted for both Marketing & finance.

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Out of 106 students, each opted for at least one sector. 48 opted for marketing, 51 opted for finance, 53 opted for HR. 16 study marketing and finance. 17 study marketing and HR. 18 study finance and HR, how many study exactly 2 subjects? 06/29/09

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Solution…. • 106 – ( 48+51+53) + ( (17-x) + (18-x) + (16-x) ) + ( 2x) • We have assumed X = the number of students who have opted for all the three options. • Solving, we get X = 5. • Thus we have 11 students opting for marketing& finance, 12 students opting for marketing & HR, 13 students opting for finance & HR. Thus there are total 36 students opting for 2 subjects. Answer. 06/29/09

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What will come next : 10, 105, 11, ? • • • •

10 * 10 + 5 = 105 Similarly : 11 * 11 + 5 = 126 Answer.

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What will come next ? 12, 72, 16 … ? • Options: • 112, 128, 144, 192 • 12 * 12 * ½ = 72 • 16 * 16 * ½ = 128 • Answer.

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What will come next : 9, 90 , 12…? • • • • • •

Options: 108, 132, 144, 156 Answer : 9 * 9 + 9 = 90 12 * 12 + 12 = 156 Answer

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Which is different : a. 8, b. 27, c. 81, d. 64 • 81 • Rest are all cubes. • Answer

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Which is different : 55, 99, 121, 144? • 144 • Rest are all divisible by 11. • Answer.

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each of the following questions two rows of numbers are given. The resultant number in each row is to be marked out separately based on the following rules The operations of numbers progress from left to right. Rules: (1) If an even number is followed by another even number they are to be added.

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Continued.. (ii)

If an even number is followed by a prime number, they are to be multiplied, (iii) If an odd number is followed by an even number, the even number is to be subtracted from the odd number. (iv) If an odd number is followed by another odd number, the first number is to be added to the square of the second number. (v) If an even number is followed by a composite odd number, the even number is to be divided by the odd number. 06/29/09

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I. 65 11 12 II. 15 3 11 What is the sum of the resultants of the two rows? • I. : 65 followed by 11, so rule (iv) : 65 + 121 = 186. now we have 186 and 12, (rule i) = 186 + 12 = 198 • II. 15 followed by 3 (rule iv) =15 + 9 = 24. now 24 followed by 11. (rule ii) = 24*11 = 264 • Add these : 198 + 264 = 462 answer 06/29/09

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Seven friends K, M, L, H, F; D and C are sitting around a circle facing the centre. L is second to the right of H who is to the immediate right of C. M is third to the left of D and to the immediate right of F. Who is third to the left of’C’?

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Solution… • Answer : K

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Seven friends K, M, L, H, F; D and C are sitting around a circle facing the centre. L is second to the right of H who is to the immediate right of C. M is third to the left of D and to the immediate right of F.

Which of the following pairs of persons represents the neighbours of K? 06/29/09

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Solution… • CMFKLDH • Thus the two person adjoining K are F and L.

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At an Electronic Data Processing Unit, five out of the eight program sets P, Q, R, 5, T, U, V and Ware to be operated daily. On any one day, except for the first day of a month, only three of the program sets must be ones that were operated on the previous day. The program operating must also satisfy the following conditions: I. If program P is to be operated on a day, V cannot be operated on that day. II. If Q is the be operated on a day, T must be one of the programs to be operated alter Q. III. If R is to be operated on a day, V must be one of the programs to be operated after R. IV The last program to be operated on any day must be either S or U.

• CONTINUE…

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Which of the following could be set of programs to be operated on the first day of a month? (a) U, Q, S, T, W (b) V, Q, R, T, S (c) T,U, R, V, S (d) Q, S, R, V, U • A = LAST IS W, B = V IS BEFORE R, D = T IS NOT THERE AFTER Q. SO ANSWER IS (C) 06/29/09

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WHICH IS THE ODD ONE OUT OF THE FOLLOWING : 1. SIPRA 2. ONLOND 3. EHDIL 4. ABCU • ANSWER : FIRST THREE ARE NAMES OF CAPITAL BUT 4TH IS THE NAME OF THE COUNTRY, SO 4TH IS THE ODD ONE OUT. FIRST IS : PARIS, 2ND IS LONDON 3RD IS DELHI. 4TH IS CUBA. 06/29/09

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WHICH OF THESE IS MOST ESSENTIAL IN A SCHOOL? 1. CHAWK 2. BLACKBOARD 3. ATTENDANCE 4. STUDIES 5. CHAIRS • ANSWER : 4TH

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A COMPUTER TYPIST MAKES MISTAKE IN EVERY 5TH DIGIT HE TYPES. HE HAS WRITTEN THE FOLLOWING, WHAT WILL BE CORRECT VERSION? SCHOTL IS VFRY FUMNY. • 1 SCHOTL IS VFRY FUMNY. • 2 SCHOOL IS VERY FUNNY. • 3 SCOOTL IS VFAY FUNNY. • ANSWER : 2) 06/29/09

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AJAY AND DHAVAL ARE TALKING. AJAY’S SHODOW IS TOWARDS RIGHT OF DHAVAL. IT IS MORNING TIME. WHICH DIRECTION IS AJAY FACING? • AJAY IS NORTH FACING. ANSWER

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NEHA IS DRIVING HER CAR. SHE COMES TO A CROSSING. SHE READS NORTH ON A POLE AND SHE GOES TOWARDS THAT DIRECTION. A NAUGHTY CHILD HAD TURNED THE POLES CLOCK WISE 90 DEGREES. IN WHICH DIRECTION IS NEHA GOING ACTUALLY? 06/29/09

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SOLUTION.. • EAST (ANSWER).

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PRAACHI GOES 300 METERS TO THE EAST OF HER HOUSE. SHE TURNS LEFT (90 DEGREES) AND GOES 400 METERS STRAIGHT. HOW FAR AND IN WHICH DIRECTION IS SHE FROM HER HOME? • NORTH –EAST 500 METERS. ANSWER

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IF APPLE IS CODED AS ZKKOV AND NUT IS CODED AS MFG, HOW WILL YOU CODE GRAPE? • A = 1, P = 16, L = 12, E = 5 • SIMILARLY, WE FIND : ((FROM LAST) • Z = 1 FROM LAST K = 16 FROM LAST O = 12 FROM LAST V = 5TH FROM LAST. • SIMILARLY, N = 14, U = 21 AND T = 20 • AND M = 14 FROM LAST, F=21 FROM LAST AND G= 20 FROM LAST (TAKE THEIR RANK AND DEDUCT IT FROM 27). 06/29/09

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Continued… • GRAPE = TIZKV ANSWER

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If COLGATE = 63, LUX = 57, WHAT IS NIRMA? • • • • • •

N = 14 I=9 R = 18 M = 13 A=1 ADD THEM = 55 ANSWER

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IF FAIL = OUZR, WHAT IS PASS? • F = 6, A = 1, I = 9 , L = 12 • O = 12 from behind, U = 6 from last, Z = 1st from last, and R = 9 from Last. (`from 6,1,9,12 we have made : 12,6,1,9) • Thus there is reversal of the sequence and inchange of positions. • P = 16, A = 1, S = 19, S 19, from 16, 1, 19,19, we have to make : 19, 16, 1, 19 from last • Thus answer : H K Z H answer 06/29/09

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Which of these is odd one ? 1. ATC 2. ODG 3. NHE 4. LEATB • ANSWER : (4TH) • FIRST 3 ARE NAMES OF THE ANIMALS IN JUMBLED ORDER, THE 4TH IS TABLE. • FIRST THREE ARE : CAT, DOG, HEN. AND 4TH IS TABLE. ANSWER

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What is the smallest number of sheeps, if there are 12 sheep in front of a sheep, 12 sheep behind a sheep? • Answer = 12 + 1 = 13 sheep answer

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It is 9.30 as per the watch which is lying on your table. The hour hand of watch is towards North. You turn it 180 degree clock wise, then 135 degree anti clock wise and again 135 degree anti-clock wise. In which direction is the minute hand facing now? • Minute hand will be south facing. Answer 06/29/09

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%q^*k&l8&a^102(1!!w%e@u9n vzsgvw^oqoxhal in the above series, how many symbols are such, which are adjoining a vowel? • 5 answer

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What is the probability of either Shyam or Yuvraj hitting the target, both hit 2 targets accurately out of 5 attempts? • Both not hitting : 3/5 * 3/5 = 9/25 • Hit by either of them or both of them • = 1- 9/25 = 16/25 answer 06/29/09

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Average age of 60 students of a class is 12 years. When the age of teacher is added, the average becomes 12.8. what is the age of the teacher? • Total for 60 = 60 * 12 = 720 • Total for 61 = 61*12.8 = 780.8 • Thus the age of the teacher is : 60.8 years. Ans. 06/29/09

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A + B = A is brother of B. A/B = A is son of B. A – B= A is sister of B. A^B = A is father of B. A # B = A is mother of B. A* B = A is daughter of B. Which of these will denote that P is uncle of Q? • (1) P * Q + M (2) P # W – Q (3) P+R# Q • (4) P / R ^ Q (5) None of these 06/29/09

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4 men A,B,C,D and 4 women W, X, V and Z are sitting in circle round a table facing each other. No two men or women are sitting adjacent to each other. W is to the right of B. Y is facing X and is to the left of A. C is to the right of Z. Who are the 2 persons adjacent to D? 06/29/09

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Solution… • The two persons adjoining D are Y and W • Answer

D Y

W

A

B

Z

X C

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6 friends (A to F) went for a picnic. They stayed in 9 tents (one in each). A,B,C don’t want to pick up a tent at the end of the row. D and A must not have any person in their adjoining tents. There is 1 empty tent between A and C. E is adjacent to both F and C. B is next to the tent in the beginning. Who is in 5th tent? 06/29/09

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Solution… • @BFEC@A@D • @ denotes empty tent. • C is in the 5th tent. Answer

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A to H are sitting in a row facing North. A is 4th to the right of E. H is 4th to the left of D. C and F which are not at the ends are neighbours of B and E respectively. H is next to the left of A and A is the neighbour of B. Who are sitting at the extreme ends? 06/29/09

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solution • Sitting arrangement from West to East. • E FG H AB C D • Thus E and D are sitting in extreme ends.

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You will give 1 scholarship if : income<1 lakh, marks > 60%, age < 25, No criminal record, no medical problem, social motive and clear SOP (statement of purpose), 2 positive references. Try to solve the next questions…

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To whom will you give scholarship? • 1. Anu, 23 years, clear SOP, 2 references, 59% marks • 2. Ali 21 years, clear SOP, 2 references, 81% marks, clear medical record, no criminal record, income 3 lakhs, • 3. Ira, 22 years, clear SOP, 2 references, 61% marks, clear medical record, no criminal record, income .8 lakhs, wants to be social entrepreneur, 06/29/09

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Solution… • As per the criteria, Ira should be selected.

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8 friends are sitting in circular manner with equal distance. A is just opposite to P. D is just opposite to the person who is sitting second left to P. there are 2 persons between A and B. C is just right of D. S has A to his immediate left and P has B to his immediate right. Q and R are between P & S. Who is opposite S? 06/29/09

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Solution… • S is opposite to B. answer

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A and B speak 2 truths and 1 lie, but not necessarily in this order. They are talking : A : B is tall. B: C is taller A: D is taller to C. B: D is the tallest. A: B is shortest. B: I am the tallest. Which of these is certainly false? • (1) B is tallest (2) D is tallest (3) D is taller to B. 06/29/09

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Solution… First statement is certainly false. So answer is (1) .

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A is two times B. B is 4 times D. D is half of C. E is 3 times C. What is the ratio of A to C & A to E? • Ratio of A to C : 4:1 • Ratio of A to E : 4:3 answer

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The are 8 creatures in one hall (some are cows and some hens). The number of legs is 18 more than number of heads. What is the number of hens?

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Solution… • X + Y = 8 X = cows Y = hens • (4x + 2y ) (for legs) – (x+y) (for heads) = 18 • 4x + 2y – 8 = 18 • 4x + 2y = 26 divide it by 2 = 2x +y = 13 • Now deduct 1st equation from this, we get • X=5 • Or cows ( X) = 5 and Hens (Y) = 3. 06/29/09

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A man is facing south, he turns 135 degree anti-clock wise, then 180 degree clock wise, which direction is he facing now?

• ( 180 – 135) = 45 clock wise • He will face south west .

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Jitesh is facing north. He turns 90 degree clockwise, then 180 degree anti clock wise. Then 90 degree again in the same direction. Which direction is he facing now? • ( 180 + 90 – 90) = 180 anticlock wise (or just opposite). He is now south facing. 06/29/09

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79

Find the missing value : 28

60

48

5

6

7

14

39

27

7

?

16

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Answer • Answer should be 27, because when we divide it by 3, we get 9, which when added to 7 gives 16

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Find the missing value 5

6

7

3

4

5

9

10

11

345

460

?

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

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Solution… • We find that the first number is 3 *100 + (5*9) • Thus the 3rd number should be 577. answer

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How many pairs of letters are there in the word SEQUENTIAL which have as many letters between them as in the alphabet? • • • • •

1. From A to E (A is second last, and E is 6th from the last), we find 3 letters, in alphabet also we have 3 letters. 2. from Q to S, there is one letter between Q and S, in alphabet also there is one letter 3. from N to S, we find 4 letters between them, ina alphabet also we have 4 letters. 4. from N to Q : we have 2 letters Answer = 4.

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In a temple, there are 26 steps in stairs. Sudhakar takes two step down (from top), Prabhakar takes 1 step up (from bottom). Their speeds are uniform. On which step will they meet? • Divide 26 by (2+1) = 8. When prabhakar completes 8 steps, Sudhakar will complete 16 steps. On 9th step from bottom, they will meet. Answer 06/29/09

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In a temple, there are 20 steps in stairs. Sudhakar takes 1 step down (from top), Prabhakar takes 2 step up (from bottom). Their speeds are uniform. On which step from bottom will they meet?

•

Divide 20/3 = 6.6 when Sudhakar comes down 6 steps, Prabhakar goes up 12 steps. Now when Sudhakar comes to 7st step from top, Prabhakar crosses him, for him it is 14th step from bottom answer.

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86

Six friends are gossiping in a garden, sitting in 2 rows. Jyoti is diagonally opposite to Nidhi. Anamika is not in end. Khyati is just in the middle of two persons. Shabnam has two persons to the left in her row. Sonam is having Khyati to her left. Who is opposite to Nidhi? 06/29/09

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Solution…. • Answer : • Either Sonam or Shabnam. • So

K

J/ N

• N/J

A

S

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Course of action: statement : people don’t follow traffic rules in India. Course of action 1. send every one for compulsory military training. 2. appoint a minister for traffic rules implementation. • Answer : none of these is a logical course of action. 06/29/09

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89

Which is necessary part of : domicile Options: a. tenant b. dwelling c. kitchen d. house • Answer : (b) dwelling 06/29/09

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90

Which is necessary part of : knowledge options: a. school b. teacher c. textbook d. learning • Answer : (d) learning 06/29/09

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91

Which is necessary part of : culture options: a. civility b. education c. agriculture d. customs • Answer ( d) customs 06/29/09

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92

Which of these is necessary part of : bonus options: a. reward b. raise c. cash d. employer • Answer ( a) reward 06/29/09

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93

Which is necessary part of : ovation a. outburst b. bravo c. applause d. encore • Answer (c) applause 06/29/09

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94

Which of these is essential part of : purchase options: a. trade b. money c. bank d. acquisition • Answer : ( a) 06/29/09

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95

Which of these is essential part of : vertebrate a. backbone b. reptile c. mammal d. animal • Solution ( a) . 06/29/09

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96

Which of these are essential part of : . provisions a. groceries b. supplies c. gear d. caterers • Answer (b) supplies 06/29/09

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97

Which word does NOT belong with the others? a. tape b. twine c. cord d. yarn • Answer (a) 06/29/09

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98

Which word does NOT belong with the others? a. guitar b. flute c. violin d. cello • Answer ( b) flute – used by mouth, all other are string instruments, played by fingers. 06/29/09

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99

Which word does NOT belong with the others? a. unimportant b. trivial c. insignificant d. familiar • Answer ( d) familiar 06/29/09

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100

Which word does NOT belong with the others? a. book b. index c. glossary d. chapter • Answer (a) book, all others are part of book 06/29/09

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101

Which word does NOT belong with the others? a. street b. freeway c. interstate d. expressway • (a) street : all other are for higher traffic, street is for low traffic. 06/29/09

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102

Which word does NOT belong with the others? a. aorta b. heart c. liver d. stomach • (a ) aorta, 06/29/09

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103

QPO NML KJI _____ EDC a. HGF b. CAB c. JKL d. GHI • Answer ( a) HGF 06/29/09

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104

FAG GAF HAI IAH ____ a. JAK b. HAL c. HAK d. JAI • Answer ( a) JAK 06/29/09

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105

BCB DED FGF HIH ___ a. JKJ b. HJH c. IJI d. JHJ • Answer ( a) JKJ 06/29/09

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106

CMM EOO GQQ _____ KUU a. GRR b. GSS c. ISS d. ITT • Solution (c) ISS 06/29/09

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107

“His sister’s mother is the maternal grandmother of the sister of the grandson of my father.” looking at a photograph, Monu remarked. Can you tell, what is the person in photograph to Monu? • cousin 06/29/09

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108

In a queue, Tushum is 15th from the front and 18th from the end. How many persons are there in the queue? • ( 18 + 15 – 1) = 32 answer

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109

In a queue, Tushum is standing behind 18 persons. He finds that the queue is very long and 102 persons are behind him in the queue. How many persons are there in the queue? • ( 18 + 102 + 1) = 121 answer

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110

In a queue, Tushum is 15th from the front and Pawan is 18th from the end. They interchange their positions, and now Tushum is 82nd from the front. How many persons are there in the queue? • (82 + 18 – 1 ) = 99 answer 06/29/09

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111

In a queue, Tushum is 15th from the front. He finds that twice the number of persons in front are behind him How many persons are there in the queue? • There are 14 in front of him, and 42 behind him. Thus there are 43 persons in the queue. Ans. 06/29/09

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112

Abhishek attempts an online examination. There are 12 questions. Each of these questions has 4 questions as subparts. Out of these only 3 have to be attempted. Abhishek has to attempt only 50% questions. If he completes the paper in 1 hour, he gets bonus of 12 similar questions to be attempted in 10 minutes, if he does it in time, he gets another similar bonus for another 5 minutes. He completes all his work (with bonuses) and leaves the exam after 1 hour 15 minutes. How many questions did he attempt? 06/29/09

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Solution… • He attempts 18 in 1 hour, 18 in 10 minutes and 18 in next 5 minutes. • He has to attempt 6 out of 12, each question in itself is having 3 sub questions to be attempted : 6 * 3 = 18 in 1 hour.

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114

There are 5 cities (A to E). A is not a hill station. B and E are not historical places. D is not an industrial town. A and B are not alike. A and D are not historical places. Praachi visits 2 of these cities : 1. historical city 2. a hill station which is also industrial town. Can you guess? 06/29/09

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Solution… • Praachi must have visited C and E as C seems to be the only historical city and E seems to be the only city which is hill station and an industrial town both.

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116

6 friends are sitting in 2 rows. Vipin is not at the end of any row. Tej is second to the left of Mahipal. Swaroop is the neighbour of Vipin and is siting diagonally opposite to Tej. Pawar is neighbour of Mahipal. Who are neighbours of Yogesh?

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117

COURSE OF ACTION Statement : It appears that within 2 to 3 years, India will again face BOP crisis Course of actions : 1. India should offer incentives to Esport oriented units 2. Customs duty on import should be increaased. 06/29/09

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118

Answer … • Both the course of action are logical and appropriate. Answer

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119

COURSE OF ACTION Statement : there is very high indiscipline in India Course of actions : 1. there should be compulsory military training for all 2. there should be a separate ministry to look after discipline. . • Answer : None of these is logical 06/29/09

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120

What will come next in the series : 0,14,78,252…. • We can observe that this is a series : N^4 –N • 1^4 – 1= 0 • 2^4 – 2 = 14 • 3^4 – 3 = 78 • 4^4 – 4 = 252 • Thus next number should be 5^4 – 5= 625-5 = 620 answer. 06/29/09

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121

Answer … • The two rows are : (Yogesh, Vipin and Swaroop) and 2. (Tej, Pawar, and Mahipal). • Thus neighbour of Yogesh is Vipin • Answer

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122

SYLLOGISM statements : 1. only stars are moons 2. no cosmos is a star 3. no planets are moon. Conclusion: 1. some moons are not planets 2. no cosmos is a planet 3. no stars are planets 06/29/09

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123

Solution… • Only the first conclusion can be drawn. We are not sure about other two conclusions.

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124

Syllogism: statements : 1. some birds are peacocks 2. No cock is a hen 3. all hens are peacocks conclusions: 1. some birds are hens 2. some peacocks are not cocks 3. some cocks are peacocks 06/29/09

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125

Solution.. • Only 2nd conclusion can be drawn

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126

Syllogism : statements : 1. no kite is a slate 2. no jug is a slate 3. some jugs are ropes conclusions: 1. some ropes are slates 2. some ropes are not slates 3. no kite is a jug 06/29/09

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127

Solution… • Only 2nd conclusion can be drawn. Answer

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128

Syllogism : statements : 1. some bags are charts 2. some trees are docks 3. no bag is clock 4. cars are clocks conclusions: 1. some charts are docks 2. some charts are not docks 3. some trees are not bags.

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129

Answer • No conclusion can be drawn from the given options.

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130

6 friends (A to F) are sitting on a circular table. A is to the immediate left of D, who is just opposite to C. E is sitting just opposite to B, who is just next to A. there are 2 persons between B and E. Who is facing A? All the persons are sitting at equal angles.

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131

Solution… • Just draw a circle and put these on the cirlce. The sitting order is ABCFED. A is just opposite F. answer

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132

Hemant has to form a team out of his friends. There are 12 persons, and he has to pick up a team of 4 persons out of these with 2 boys and 2 girls. ABCDEF are boys and GHIJKL are girls. A will go only if C is going. D had a fight with F. E and B are rivals. D has good relation with every person. H will go only if her brother B goes. K doesn’t like L. G and I are hard core enemies to each others. J and K want to go together only. I will go only if E is there is the team. Hemant prepares some teams, select the appropriate ones. 06/29/09

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133

Options… • Teams : (1) ACIJ (2) DBHI (3) ADGI (4)CEGK (5) None of these • Solution : • None of these teams are valid teams. Answer

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134

You are taking photo of 4 bright students of Afterschoool in the morning time (who are talking to each other) Khyati is facing Sun. Jitesh’s shadow is on Anamika who is just left of Khyati. Shabnam has two persons to her left and one towards right. Whom will you find in the left side of the photograph? You are South facing, but none of the student is south facing. 06/29/09

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135

Solution… • • • •

Their order : from east to west : Jitesh, Shabnam, Khyati and Anamika Thus in the photo, Jitesh will bein the left. Answer.

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136

If the first and 2nd letter of the word UNPRECEDENTED are interchanged with the 1st and 2nd from the end. Similarly the 3rd and 4th letters are interchanged with 3rd and 4th letters from the end. What will be the 7th letter to the right of 3rd letter to the left? 06/29/09

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137

Solution…. • Look at the word : UNPRECEDENTED • Take the 10th letter from right ( 3 + 7 = 10 and as we have to start from left, we are doing it from right without changing the position of the letters). • Thus answer is R.

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138

SOLVE THIS PUZZLE • • • • • • • • • •

I. There is a family of 5 persons A, B, C, D and E. II. They are working as a doctor, a teacher, a trader, a lawyer and a farmer. III. B, an unmarried teacher, is the daughter of A. IV. E, a lawyer, is the brother of C. V C is the husband of the only married couple in the family. : VI. A, a farmer, is a father of two sons and an unmarried daughter. VII. Daughter-in-law of A is a doctor.

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SOLUTION… • A IS THE ELDEST PERSON IN THE FAMILY. HE IS FATHER OF B,E,C. • B IS AN UNMARRIED GIRL, WHO IS SISTER OF E AND C. • C IS MARRIED. E IS A LAWYER AND UNMARRIED PERSON. • C AND D ARE MARRIED AND D IS WIFE AND IS ALSO A DOCTOR • A’S PROFESSION IS FARMER , B IS A TEACHER, C IS A TRADER, D IS A DOCTOR, E IS A LAWYER. ANSWER • 06/29/09

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140

4,6,10(12), 16, (14),22 • THERE ARE TWO SERIES : • 4 + 6 =10, NEXT 10 + 6= 16 , NEXT 16+6 =22 • SECOND SERIES : 6,12,18… • SO IN THE SERIES, INSTEAD OF 14, WE HAVE TO WRITE HERE 18. • ANSWER 06/29/09

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141

DATA SUFFICIENCY QUESTION: What is the area of a field? 1. It is a square field, and diagonal is 200 meters. 2. it takes a person 1 hour to take a round of this field @ 10 km per hour. • Options : 1. only 1st 2. only 2nd 3. both together 4. either individually 5. none • Answer : 1st statement alone is sufficient. 06/29/09

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142

DATA SUFFICIENCY what is the age of Mohan? 1. He was born on 1/1/90. 2. Age of Mohan is 10 year less than the age of his brother, who will be completing his graduation this year. • Answer : 1st statement is sufficient. 06/29/09

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143

Data sufficiency Is India a developing country? 1. per capita income of India is increasing. 2. No body dies from hunger in India. • No statement is sufficient to answer the question. 06/29/09

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144

Should Ravi invite Kavi today? 1. Today is the wedding anniversary of Ravi and he wants to host a party. 2. Kavi is the only person who has helped him in his troubled times. • Answer : both the statements together are required to answer. 06/29/09

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145

DATA SUFFICIENCY QUESTION: what is the age of Hulash? 1. he is 12 years older than Ramu. 2. 4 years later Ramu will be 12 years younger to Hulash. • Answer : neither statement is sufficient. 06/29/09

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146

What is the rate of Potato? 1. Hulash got 200 Kg potato in just Rs. 800. last year. 2. Inflation rate this year is 10%. • Neither statement is sufficient.

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147

Data sufficiency question what is the distance between Bikaner and Delhi. 1. Dudi took 20 hours in going from Bikaner to delhi and returning back to Bikaner. 2. the distance between these cities is double the distance between Bikaner and Jodhpur. • Answer : both the statements are 06/29/09 centre for social entrepreneurship insufficient.AFTERSCHOOOL www.afterschoool.tk

148

Data sufficiency question what is the age of Seema? 1. today is the 25th marriage anniversary of her mother. 2. Her mother is 30 years elder to her • Answer : neither statement can give the answer 06/29/09

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149

Data sufficiency question how is X related to Y? 1. Y is brother of X 2. Z is mother of X and Y. • Answer : neither statement can give the answer. 06/29/09

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150

What is the volume of a Glass (which is cylindrical in shape )? 1. the volume of a ball, which just fits in the glass is 212 cu. Cm. 2. the volume of the box, in which this glass is properly fitted is 612 cu. Cm. (the box is of the shape of a cuboid)

• Both the statements are together required to calculate the volume of the glass. 06/29/09

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151

Data sufficiency question: who is the lightest among A,B,C,D,E? 1. A is heavier than B, who is heavier than C and D. 2. E is heavier than maximum number of persons. • Answer : neither statement gives the answer. There is confusion about C and D, who is lighter. 06/29/09

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152

Data sufficiency question how many children in a room are boys? 1. 50% children are in white dress. 2. only boys are in white dress. • Solution : neither statement gives the answer (exact number is not given). 06/29/09

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153

Data sufficiency question: is running good for health? 1. running within proper limits is good for heart and lungs. 2. knee, ankle and foot borne problems are due to prolonged and improper running. • Answer : either statement alone gives answer. 06/29/09

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155

If the second half of the english alphabet is written in reverse order, which letter will be th 9 of the right of the eighth letter from the left end? • ABCDEFGHIJKLMZYXWVUTSRQPON • The word here is RIGHT OF, therefore the answer is O, had it been RIGHT TO, we would have taken W as the answer. 06/29/09

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156

In the following number series, how many such odd numbers are there which are divisible by 3 or 5 and are followed by an odd number which again is followed by an even number? 12,13,14,15,30,21,23,60,61,62,75, 78,90,91,92,94,95,99,101,121,113 06/29/09

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157

Solution…. • The numbers are 12 (followed by 13 and again followed by 14), 21 (followed by 23 and again followed by 60), 60 (followed by 61 and again followed by 62), and 90 (followed by 91 and again followed by 92). • Thus there are : 4 such numbers. Answer

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158

in the following number series, how many 9s are there which are not completely divisibly by a number which is preceded by it but completely divisible by a number which is followed by it? 2012939493929495832923991939 5968739729277592019939281938 06/29/09

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Solution… • These are as under : (1). 293 = preceded by 2 and followed by 3. (2) 493 = preceded by and followed by 3 thus fulfilling our condition. • Thus there are only 2 such 9s.

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160

Sabnam remembers that she met her sister Shaini on Saturday after 13th of any month. If the first day of the month was Tuesday then on what date did she meet her sister? • 19th of that month. Answer 06/29/09

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161

• Options : 2,3,4,5 • Try with options. Square of 2 is 4, which is not possible here • Square of 4 is 16, which cannot be written as (squre of 1 + 2 * ….), 55.25 will not come in multiple of 3. • Try with 5, 143 is not a multiple of 3, thus only option left is 3, which fulfills our conditions. Answer 06/29/09

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162

In how many ways can we divide 9 things among 3 groups containing 2,3,4 items? • 9 items can be divided in 9!, but we have 3 groups. So : • 9!/(2!*3!*4!) • =1260 answer

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163

Denominator of a fraction exceeds a numerator by 2. if 5 is added to the numerator, it increases by unity, what is the fraction? • Options: 1/3, 3/5, 5/7, 7/9 • Try with options, answer is : • 3/5 06/29/09

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164

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165

IN A CARVAN THERE ARE 50 HENS, 45 GOATS 8 CAMELS AND SOME PERSONS. THERE ARE 224 MORE FEETS THAN THE NUMBER OF HEADS. WHAT IS THE NUMBER OF PERSONS? 06/29/09

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SOLUTION… • • • •

(312 + 2X) – ( 103 + X) = 224 WE GET X = 15 X = NUMBER OF PERSONS. ANSWER.

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167

UMAKANT STARTED MOVING FROM B TOWARDS A EXACTLY AN HOUR AFTER VIJAY STARTED FROM A IN THE OPPOSITE DIRECTION, BUT AT HALF THE SPEED. BY THE TIME VIJAY COVERED 1/6TH OF THE DISTANCE, UMAKANT ALSO COVERED THE SAME DISTANCE. WHERE WILL THEY MEET? • CLOSER TO A OR B OR JUST BETWEEN A & B 06/29/09

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168

SOLUTION… • THEY WILL BE CLOSER TO A • ANSWER.

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169

In a class of MBAs, 40% took marketing, Finance and HR each. 10% took all the three options. 10% took combinations of 2 papers each. How many didn’t take either of these three papers and opted for other options? • Solution = 30 % answer

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170

In a party of 50 persons, there are 3 optons: 1. tea, 2. coffee 3. cold drink. 5 persons take all three. There are 9 persons who like coffee and tea. There are 6 persons who like tea and cold drink. There are 6 persons who like cold drink and coffee. There are 20 persons who take tea and 20 persons who take coffee. How many persons take only cold drink? Every person takes something at least. 06/29/09

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171

Solution… • = 19 answer

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172

A@B means A is bigger than B. A # B means A is smaller than B. A & B means A is equal to B. A !B means A is either Equal or bigger than B. A $ B means A is either equal or smaller than B. Solve the following question: • P @Q $ R # W • Which is correct : 1. Q is smaller than W • 2. P is bigger than W 3. W is smaller than Q 4 None. 06/29/09

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173

SOLUTION • ONLY 1ST CONCLUSION CAN BE DRAWN.

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174

A@B means A is bigger than B. A # B means A is smaller than B. A & B means A is equal to B. A !B means A is either Equal or bigger than B. A $ B means A is either equal or smaller than B. Solve the following question:

• M!N @Q$R&P which is correct : • 1. q is bigger than R 2. M IS BIGGER THAN Q 3. AFTERSCHOOOL P IS SMALLER THAN M. 4 175 06/29/09 centre for social entrepreneurship www.afterschoool.tk

SOLUTION… • ONLY 2ND CONCLUSION CAN BE DRAWN

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176

12/2 - 6*3 +8 = 16, how will you interchange the sings to solve it? • Instead of + use – and instead of – use +. • You get : 6 + 18 – 8 = 16 answer

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178

6 friends are being photographed. They are sitting in a row. A and C are sitting together. D is to the immediate right of B. C is in the 2nd position from the left (when you observe them). E and F are in the middle. There are 3 persons to the left of E. A is to the right of maximum number of persons. What is their sitting order? 06/29/09

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179

1n a queue, Vijay is fourteenth from the front and Umakant is seventeenth from the end, while Mary is in between Vijay and Umakant. Vijay be ahead of Umakant and there are 48 persons in the queue, how many persons are there between Vijay and Mary? 06/29/09

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Solution… • We have exactly 17 persons between Vijay and Umakant. Mary is just in the centre of these 17, so there are 8 persons between Vijay and Mary • ( 48 - `14 – 17 = 17)

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181

If 2 is at the top, what number will be at the bottom?

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182

Solution… • It is 6 at the bottom.

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183

Complete above magic square so that the rows, columns, diagonals— all add to the same number and then find A+B?

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184

Solution… =9.25+11.75 = 21 13

4.25

10.5

6.75

9.25

11.75

8

14.25

5.5

27.75 06/29/09

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185

WHAT WILL COME IN PLACE OF ?

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SOLUTION.. • • • • • •

7 *2 + 2 = 16 16 * 2 + 2 = 34 34*2 + 2 = 70 70 * 2 + 2 = 142 142 * 2 + 2 = 286 AND SO ON. SO ANSWER IS 70

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Which is wrong number in the series : 12,18, 27, 90, 270, 945,3780 • It is mentioned that it is a series, so solve it like a series and don’t search for odd one out. • 12*1.5 = 18 • 18* 2 = 36 • 36 * 2.5 = 90 • 90 * 3 = 270 • 270* 3.5 = 945 • 945 * 4 = 3780 so the wrong number is 27. 06/29/09

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• • • • • • • •

What would come in the fill in the blanks : BA_B_AAB_A_B OPTIONS : ABAA, ABBA BAAB, BABB Solution : the series is as under: BAABBAABBAAB We get this answer from 2nd option. Answer.

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189

P, O and Q are standing in the form of a triangle and POQ makes 90 degree angle. P is exactly 400 m. north of O and Q is exactly 300 m. West of O. R comes and stands just in the mid point between P and Q. What is the direction and distance of R from Q? • Answer : 250 m. north east answer. 06/29/09

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190

A woman walking with a boy meets another woman and on being asked about her relationship with the boy, she says : “My maternal uncle and his maternal uncle’s maternal uncle are brothers.” How is the boy related to the woman?

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Solution • Start solving from the last line. It is easier to solve such questions backwards. • The answer is the boy is son of the woman. The woman could be aunt also (maternal aunt) . • Answer

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When Umakant went to Sachin’s house, Sachin showed him a photograph. The photo was that of the only grandson of the father of the uncle of the sister of his sister’s uncle. Who’s photograph was it ? • SACHIN’S 06/29/09

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Statement : 1. Men are sinners 2. Saints are men conclusion : 1. saints are sinners 2. sinners are saints which is / are valid conclusion? • Only 1st conclusion is valid conclusion 06/29/09

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194

Statement : 1. all dogs are cats 2. all cats are monkeys conclusion : 1. all dogs are monkeys 2. some monkeys are dogs which is / are valid conclusion? • Both the conclusions are valid conclusions 06/29/09

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Statement : 1. all tables are chairs 2. all chairs are spoons conclusion : 1. all spoons are tables 2. some chairs are tables which is / are valid conclusion? • ONLY 2ND CONCLUSION IS VALID 06/29/09

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Statement : 1. all tables are chairs 2. Some chairs are spoons conclusion : 1. some spoons are tables 2. all chairs are spoons which is / are valid conclusion? • Neither conclusion is valid. 06/29/09

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Statement : 1. all books are pens 2. all tables are pens conclusion : 1. some books are tables 2. some pens are tables which is / are valid conclusion? • Only 2nd conclusion is valid conclusion 06/29/09

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Statement : 1. some tables are chairs 2. some chairs are spoons conclusion : 1. some spoons are tables 2. some chairs are tables which is / are valid conclusion? • Only 2nd conlusion is valid conclusion 06/29/09

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199

Statement : 1. few tables are chairs 2. no chairs are spoons conclusion : 1. no spoons are tables 2. some chairs are not tables which is / are valid conclusion? • Neither conclusion is valid conclusion 06/29/09

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Statement : 1. all tables are chairs 2. all chairs are spoons 3. All spoons are pens conclusion : 1. some spoons are pens 2. some pens are tables which is / are valid conclusion? • BOTH THE CONCLUSIONS ARE VALID CONCLUSIONS 06/29/09

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201

Position of Sanjay in the class from top is 8th and from bottom is 29th. How many students are there in the class? • 29 + 8 – 1 = 36 answer

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202

Rajiv is 7th from the left and Manu is 12th from the right. Rajiv and Manu interchange their position, now Rajiv is 27th from left. How many students are there ? • 27+12 – 1 = 38 answer

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ABC123A1B2C3D4E5F6DEF456 IN THE ABOVE SERIES, HOW MANY NUMBERS ARE IMMEDIATELY FOLLOWED BY AND ALSO PRECEDED BY NUMBERS? • ONLY TWO : 2 (BETWEEN 1 AND 3) AND 5 (BETWEEN 5 AND 6) ANSWER 06/29/09

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WHAT WILL COME NEXT : 1,4,18, 96 • • • • • •

It is N!*N Thus 1! *1 = 1 2!*2 = 4 3!*3 = 18 4!*4 = 96 5!*5 = 600 answer

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IF € + £ = 11 AND € -£ =5 AND £ *¥ =1 AND £ / ¥ =9, WHAT IS €/ ¥? • 24 Answer • Solve it and find : • € = 8 £ = 3 and ¥ = .33

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A + b means A is mother of B and A – B means A is father of B. A * B means A is sister of of B. A / B means A is brother of B. Which of the following combination shows that P is aunt of Q? • 1. P / R + Q • 3. P – R / Q 06/29/09

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solution • ( 2 ) answer

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If Anju is taller than Rohini and shorter.than Manju and. Rohini is as tall as Sanju but taller than Shubhangi, then Sanju is (a) Taller than Manju (b) Shorter than Anju (c) As tall as Anju (d) Shorter than Shubhangi (e) Shorter than- Rohini 06/29/09

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Solution • (c)

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If the first and the second letters of the word UNPRECEDENTED are interchanged with the first and the second letters from the end, similarly the third and the fourth letters are interchanged with the 3rd and 4th letters from the end, and soon, then what will be the seventh letter to the right of the third letter from the left? (a)P (b)R (c) E (d) C

• Solution : (R) 06/29/09

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In the word “PRESENCE”, how many pairs of letters are there such that each pair has as many letters between its units in the word as there are in the English alphabet? (a)One (b)Two (c) Three (d) Four

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Solution • C and E have one letter in alphabet, here also we have only 1 letter between these two letters • P and S have 2 letters between them. • N and R have 3 letters between them, • Thus we have 3 pairs (similar to alphabet) answer 06/29/09

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Some leaders are good team workers. Some good team workers are good-speakers Conclusions : 1.-Some good team workers are leaders. II. Some good speakers are leaders -

• Only 1st conclusion can be drawn 06/29/09

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215

Look at this series : D54Ih*$ke3lb@arm16f%jЄ276g9 how many such symbols are there which are immediately preceded by or immediately followed by a consonant but not both? • Three : * $ Є 06/29/09

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Look at this series : D54Ih*$ke3lb@arm16f%jЄ276g 9 which will be the digit fifth to the right of the 13th from the right • % answer 06/29/09

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Look at this series : D54Ih*$ke3lb@arm16f%jЄ276g 9 which will be the digit fourth to the left of the sixth from the right • 6 answer

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Look at this series : D54Ih*$ke3lb@arm16f%jЄ276g9 How many such consonants are there which are preceded by a vowel and followed by consonant (immediately)? • R is the only one (one) answer

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219

A cube of 15 cm dimension each is coloured red on front and back. Then it is cut into smaller cube of dimensions of 3 cm each. How many cubes will we get of one side red colour? • 25 in front and 25 in back side • Total = 50 answer. 06/29/09

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220

A cube of 15 cm dimension each is coloured red on front & bottom blue on both sides and yellow on top and and back. Then it is cut into smaller cube of dimensions of 3 cm each. How many cubes will we get of only one side red colour & no other colour? • 9 from front and 9 from bottom = 18 answer 06/29/09

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221

A cube of 15 cm dimension each is coloured red on front & bottom blue on both sides and yellow on top and and back. Then it is cut into smaller cube of dimensions of 3 cm each. How many cubes will we get which have all three colour on three sides? • 4 cubes only 06/29/09

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A cube of 15 cm dimension each is coloured red on front & bottom blue on both sides and yellow on top and and back. Then it is cut into smaller cube of dimensions of 3 cm each. How many cubes will we get total? • 125 answer 06/29/09

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A cube of 15 cm dimension each is coloured red on front & bottom blue on both sides and yellow on top and and back. Then it is cut into smaller cube of dimensions of 3 cm each. How many cubes will we get of only one side blue colour and one side red colour and no other side with any colour? • 12 06/29/09

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224

A cube of 15 cm dimension each is coloured red on front & bottom blue on both sides and yellow on top and and back. Then it is cut into smaller cube of dimensions of 3 cm each. How many cubes will we get which will not have any side coloured? • 27 answer 06/29/09

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225

A cube of 15 cm dimension each is coloured red on front & bottom blue on both sides and yellow on top and and back. Then it is cut into smaller cube of dimensions of 3 cm each. How many cubes will we get of only one side coloured ( any colour) ? • 54 answer ( 6 * 9 ) 06/29/09

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226

A cube of 15 cm dimension each is coloured red on front & bottom blue on both sides and yellow on top and and back. Then it is cut into smaller cube of dimensions of 3 cm each. How many cubes will we get of only two sides coloured (any colour) ? • 12 sides each of 3 cubes : 12 * 3 = 36 ans 06/29/09

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A cube of 15 cm dimension each is coloured red on front & bottom blue on both sides and yellow on top and and back. Then it is cut into smaller cube of dimensions of 3 cm each. How many cubes will we get of 3 sides with colours (any colour) ? • 8 cubes in 8 corners answer = 8 06/29/09

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228

Statements: All terrorists are men. All men are ill Conclusions I. All terrorists are ill-famed II. No man can be a terrorist. Which conclusion is/are valid? • No conclusion is valid 06/29/09

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Statements: All terrorists are men. All men are ill-famed Conclusions I. All terrorists are ill-famed II. No man can be a terrorist. Which is valid conclusion • Only 1st conclusion is valid conclusion 06/29/09

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Statements: Some teachers are followers. Some followers are famous. Conclusions I. Some teachers are famous II. Some followers, are teachers which is / are valid conclusion? nd

• Only 2 conclusion is valid conclusion 06/29/09

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Statements: Some teachers are followers. All followers are famous. Conclusions I. Some teachers are famous II. Some followers, are teachers which is / are valid conclusion? • Both the conclusions are valid conclusions 06/29/09

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Statements: Some teachers are followers. Some followers are famous. Conclusions I. Some teachers are famous II. Some famous persons, are teachers which is / are valid conclusion?

• No conclusion is valid conclusion 06/29/09

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In a certain code language, EMPHASIS is written as: NDIOBRJR. In that code language, how will CREATURE be written? (a) SBBDUTSD (b) QBBDTUSD (c) DSDBSTSF (d) SBDBUTDS • Answer : (A ) 06/29/09

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234

‘Watch’ is related to ‘Time’ in the same way as ‘Vehicle’ is related to (a) Driver (b) Road (c) Passenger (d) Journey (e) Fuel • (d) journey 06/29/09

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235

Haresh is 27th from the left end of a row of 49 boys and Mahesh is 27th from the right end in the same row: How many boys are there between them in the row? • There are (49-27) = 22 boys to the right of H and there are 22 boys to the left of M. Thus we have 22+22+2 = 46 boys, there should be 49-46 = 3 boys between them. 06/29/09

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236

Nidhi is 5th from the right among 7 girls. Jyoti is 5th from left, how many girls are between them? • There are 2 to the left of Nidhi and 2 to the right of Jyoti, plus they themselves, left out are : ( 7 – 2 – 2 – 2) = 1 answer. 06/29/09

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237

Nidhi is 3 from the left among 7 girls. Jyoti is 3th from right, how many girls are between them? th

• 7 – ( 3 + 3) = 1 answer 06/29/09

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238

in a code language”1 3 5 7” means ‘We are very happy”, “2 6 3 9” means “They are extremely lucky”, and “7 9 4” means ‘Happy and lucky”. Which digit in that code language stands for “Very”? • 1 or 5 (one of these – data insufficient). • 3 stands for are and 7 stands for happy. But we are not able to decipher 1 and 5, so very stands for one of these. 06/29/09

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Which of the following groups of letters should come in place of the question-mark (?) in the series given below, formed by the lettergroups of the English alphabet? AZB CYD EXF ? IVJ (a)GUH (b)GHU (c) GWH (d) GHW • Answer : (c) 06/29/09

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“Illness” is related to “Cure” in the same way as “Grief” is related to (a) Happiness. (b) Ecstasy (c) Remedy (d) Solicitude (e) Consolation • Answer : (C ) remedy for grief 06/29/09

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Which pair of English letters should be the next in the series of pairs of letters of English alphabet given below? BE GK MR TZ BI (a)JR (b)KS (c) JS (d) KR (e)JQ • Solution : (b) B,G, M are increasing from 06/29/09 AFTERSCHOOOL centre for social entrepreneurship 5,6,7 …. E,K,R are increasing in 6,7,8…. www.afterschoool.tk

242

A and B are standing at a distance of 20km from each other on a straight East- West road (A is in the West and B is in East) . A and B start walking simultaneously, eastwards and westwards respectively, and both turn to their left and walk 10 km. ‘B’ turns to his right and walks 10 km at the same speed. Then both turn to their left and cover a distance of 5km at the same speed. What will be the distance between them? 06/29/09

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Solution … • • • •

Prepare a map and solve it : Distance East – West : 15 KM Distance north – south : 25 km Distance between them : sqrt(15^2 + 25^2) • = 29.15 KM answer.

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244

Find the most similar option: • • • • •

KILOMETRE : DISTANCE (a) WeIght: Kilo (b) Thermometer: Temperature (c) I.Q. .: Intelligence d)Time : Hours

• Solution : (C) IQ measures intelligence 06/29/09

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245

Which is the most similar : • • • • •

COMPANY: DEPARTMENT (a) Sea: Ocean (b) Hub :Wheel (C) Milk : Butter (d) Book : Chapter

• Solution : • Option C and D both seem to be logical answers 06/29/09

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• DROUGHT: FAMINE • • • • • •

(b) Inflation: Lower consumption (c) Dry: Food (ci) Flood : Monsoon (a) Run : Fatigue SOLUTION : (b) answer 

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247

Which are the most similar to the capitalised one : • • • • • • •

FRIENDLY: INTIMATE (a)Comfortable: Uncomfortable (b) Storm: Rain (c) Tepid : Hot (d) Little: Excessive SOLUTION : (C) Tepid (warm, little hot), is similar to hot in same manner as friendly is to intimate (very friendly).

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248

Which is most similar to capitalised one : • • • • • • •

SECRETARY: STENOGRAPHY (a) Doctor: Medicine (b) Book keeping :Accountant (c) Weatherman : Meteorology (d) Typist :Typography Solution : (c ) answer

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249

Name the Indians, who are actors as well as singers:

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250

In a college election, a candidate who got 40% of the total votes was defeated by his rival by 160 votes. What was the total number of votes polled? •

Suppose there are 100 votes, one got 60 and other got 40. Thus one person got 20 more votes. If 20 is the difference, the votes polled are 100, if 160 is the difference, the votes polled are : 160 *100/20 : = 800 ans.

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251

A merchant wants a gross profit of 25 percent on the sales. Thus the percentage that he should add to the cost price will be • Normally we take profit on cost. But here, we are taking profit on sales. If selling price is 100, profit is 25 and cost : 75, thus on cost : 25/75 *100, gives us 33.33% ans 06/29/09

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252

Which of the given figures best represents the relation of Elected body, Parliament and of Legislative Assembly?

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Solution • (C) is the best option, elected body is bigger circle, in which there are two bodies : 1. parliament (in the central govt.) and 2. legislative assembly (in states).

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Reema is twice as old as Beena. Three years ago, she was three times as old as Beena. How old is Reema now? • • • •

Options: (a) 10 years (b) 12 years (c) 15 years (d) 18 years SOLUTION : Try with option (b), you get the answer.

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255

Anita got 178 marks and failed by 22 marks. To pass, she had to secure 40% marks. What were the maximum marks? • (178+22) * 100/40 = 500 answer.

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If ALTERED is written as ZOGVIVW, how would you write the word RELATED in the same code? • Options: (a) VIOGZVW (b) IVOZGWV (c) VOIZGVW (d) IVOZGVW • A is first from beginning, Z is first from last, so on. Thus we are taking words from last counting same rank. Ths answer will be : ( d ). 06/29/09

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Solution : • • • • • • • •

R : 18 instead of this : I E : 5 instead of this : V L : 12 instead of this : O A : 1 instead of this : Z T : 20 instead of this : G E :5 instead of this : V D: 4 instead of this : W So answer : IVOZGVW

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Solution aid : • Remember : C F I L O R U X • It looks like the name of medicine, but it will help you. It is the table of 3 (c stands for 3, f for 6 and so on. It is also table of 3 from back side, x is 3 from last, and u is 6 from last) . • Similarly remember E J O T Y • It is table of 5. (E stands for 5) 06/29/09

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259

Average age of a class of 39 students is 15 years. But when the age of teachers is included, the average increases by 3 months. What is the age of the teacher? • 40 (including teacher) * 15.25 = 610 ( 3 months = .25) • 39 * 15 = 585 (total of the students) • The difference is the age of the teacher, which is 25 years. Answer.

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260

A batsman makes 87 in 17th innings and increases his average by 3, what is his average after 17th innings? • Let us assume the average after 17th innings to be x. so his total run now is : 17X. It is equal to : 16 (X-3) + 87 • Solving it we get : 16x-48 + 87 = 17 x • -x = - 39 or x = 39 answer. 06/29/09

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261

Distance between Bikaner and Ahmedabad is 700 KM. Vyas ji goes @ 84 km per hour and returns back @ 56 km per hour. What is the average speed of Vyas ji? • • • •

For average speed, use harmonic mean. 1/84 + 1/56 = ( 2+ 3) / 168 Now multiply it by ½, we get : 5/336 Now reverse it : 336/5 = 67.2 answer.

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262

Three partners A,B,C invest Rs. 1600, 1800, 2300 in a business. How should they divide profit of Rs. 399 between A,B,C, What is the share of C? • • • •

Share of A = 16 / (16+18+23) * 399 = 112 Share of B = 18 / (16+18+23) * 399 = 126 Share of C = 23 / (16+18+23) * 399 161 C’s share is 161 answer.

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263

Five books marked A, B, C, D and E are lying on a table. D is to the left of C; B is to the left of E; A is to the right Of C. If A Is to the left of B, then the book in the middle will be

• DCABE • THUS A IS IN THE MIDDLE. 06/29/09

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264

In a row of six persons, D and C are immediate neighbours of E. B is a neighbour of A only. A is the fourth from F. Who are on the two end points? • BADECF or BACEDF • The extreme points are occupied by B and F. 06/29/09

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265

Six families A, B, C, D, E and F are living in houses in a row. B has F and D as neighbours. E has A and C as neighbours. A does not live next to either F or D. C does not live next to D. Who are F’s next door neighbours? • DBFCEA • Thus next door neighbours of F are B and C. ans 06/29/09

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In a row of forty children, P is thirteenth from the left end and Q is ninth from the right end. How many children are there between P and F if F Is fourth to the left of Q? • Solution : • 12, P, 18, Q, 8 (thus there are 18 children between P and q. thus we have : • 12, P, 14, F 3, Q, 8 • There are 14 children between P and F. 06/29/09

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If a/4 = b / 5, then which of these may be correct ?

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Solution : • Let us assume A = 8 and B = 10. Let us put the values and try to solve it : • We find that B and D both are giving correct answers, provided we don’t take the value of A and B as 4 and 5 respectively.

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270

The root of the (x+4)/4 + ( x—5)/3= 11 equation is

• Options : 12,20,10,3

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Solution… • Try from options, 20 gives you correct answer.

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272

What is the perimeter of the triangle BCD in the figure given below ?

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Solution… • Angle ABC is also 45 thus AB = AC thus BC = 2 * sqrt(2). • All the sides of BCD are equal, so the perimeter is 3 * 2 *sqrt(2) • = 6 * sqrt (2) answer.

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274

The independent probabilities that the three sections of an accounts department will encounter a computer error are 0.2, 0.3 and 0.1. What is the probability that there will be at least one error?

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Solution… • Find out the probability of no error and deduct that from 1, you will get the answer. • No error = (1-.2) * (1-.3) *(1-.1) = .504 • Thus probability of at least one error is : • 1 - .504 = .496 answer.

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276

If x^(1/p) = y^(1/q) = z^(1/r), and xyz =1, then what is the value of p + q + r? • Let us assume the values of X, Y and Z as 2,4, and 1/8. • Let us assume r = -3, we get 1/8^ (-1/3), which is 2. thus p =1 and q = 2 • Thus add p + q + r , we get 1+2+(-3), = 0 • So answer is Zero. (you can assume any values as per the conditions). 06/29/09

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277

What can be the value of Y: (15,30,60,40)?

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Solution… • Try from option, only 30 gives you correct answer. You are able to get a total of 180 for both the triangles when you assume it to be 30. thus answer is 30 degrees.

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A = (sqrt(3) + sqrt2) / (sqrt3) – sqrt(2) B = sqrt(3) – sqrt(2) / (sqrt(3)+sqrt(2), what is a^2 + b^2?

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Solution… • (sqrt(3) + sqrt2) / (sqrt3) – sqrt(2) multiply by : sqrt(3) + sqrt(2) / (sqrt(3) + (sqrt (2) • Gives : 3 + 2 + 2(sqrt3*2) = 9.89 • Similarly solve for B. • We get 3 + 2 – 2(sqrt3*2) = .11 • Solving these we get : • Squres of 9.89 and .11 • Gives you 98 (approx.) as answer. 06/29/09

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A managing committee of 7 members is to be constituted from a group comprising 8 gentlemen and 5 ladies. What is the probability that the committee would comprise 2 ladies? 06/29/09

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• We are selecting 2 women from a group of 5, so 5c2 + we are selecting 5 men from a group of 8, so 8c5, solving this we get : (total we are selecting 7 persons out of 13): • C = combination (where order is not important) • (5c2 * 8C5) / (13 c7) • =(5*4 / 2*1) * (8 *7*6) /( 3*2*1) • =560 • DIVIDED BY : • (13*12*11*10*9*8) / (6*5*4*3*2*1) = 1716 • 140/429 06/29/09

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• We are selecting 3 women from a group of 5, so 5c3 + we are selecting 4 men from a group of 8, so 8c5, solving this we get : (total we are selecting 7 persons out of 13): • C = combination (where order is not important) • (5c3 * 8C4) / (13 c7) • =(5*4 / 2*1) * (8 *7*6*5) /(4* 3*2*1) • =700 • DIVIDED BY : • (13*12*11*10*9*8) / (6*5*4*3*2*1) = 1716 • 175/429 06/29/09

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• We are selecting 4 women from a group of 5, so 5c4 + we are selecting 3 men from a group of 8, so 8c3, solving this we get : (total we are selecting 7 persons out of 13): • C = combination (where order is not important) • (5c4 * 8C3) / (13 c7) • =(5 / 1) * (8 *7*6*) /( 3*2*1) • =280 • DIVIDED BY : • (13*12*11*10*9*8) / (6*5*4*3*2*1) = 1716 • 70/429 06/29/09

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• We are selecting 5 women from a group of 5, so 5c5 + we are selecting 2 men from a group of 8, so 8c3, solving this we get : (total we are selecting 7 persons out of 13): • C = combination (where order is not important) • (5c5 * 8C2) / (13 c7) • =1 * (8 *7) /( 2*1) • =28 • DIVIDED BY : • (13*12*11*10*9*8) / (6*5*4*3*2*1) = 1716 • 7/429 06/29/09

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solution • Let us add all the probabilities : • (140 + 175 + 70 + 7 ) / 429 • 392 / 429 answer

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How many cubes with edge 10 cm that can be accommodated in a cubical box of 1 metre edge?

• Bigger cube / smaller cube • (100*100*100) / (10*10*10) = 1000 answer. 06/29/09

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I have a cube of one dimension of 12 cm. Now I colour it on all sides with red colour and make smaller cubes out of it of one dimension of 3 cm. How many cubes will I have with no colours on any side? • Only 8 out of 64 cubes will not have any colour. Answer 06/29/09

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I have a cube of one dimension of 15 cm. Now I colour it on all sides with red colour and make smaller cubes out of it of one dimension of 3 cm. How many cubes will I have with no colours on any side? • Answer : 27 cubes 06/29/09

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I have a cube of one dimension of 18 cm. Now I colour it on all sides with red colour and make smaller cubes out of it of one dimension of 3 cm. How many cubes will I have with colours on three sides? • There are 8 such cubes 06/29/09

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I have a cube of one dimension of 18 cm. Now I colour it on all sides with red colour and make smaller cubes out of it of one dimension of 3 cm. How many cubes will I have with colours on two sides? • 12 * 4 (there are 12 edges in a cube). = 48 ans 06/29/09

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I have a cube of one dimension of 18 cm. Now I colour it on all sides with red colour and make smaller cubes out of it of one dimension of 3 cm. How many cubes will I have with colours on only one side? • There are 6 sides on a cube, so 6 * 16= 96. 06/29/09

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In a class of 60 at a busi ness school, 40 students like marketing management, 36 like production management and 24 like both. The number of students who like only production management is • 36 – 24 = 12. 06/29/09

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In a class of 60 at a busi ness school, 40 students like marketing management, 36 like production management and 24 like both. The number of students who like don’t like either of these subjects. • 60 – 52 ( 12 + 24 + 16) = 8 answer.

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Question on assumption: • The government has decided to disinvest large chunk of its equity in select public sector undertakings for a better fiscal management. • Assumptions: • I. The amount generated out of the disinvestment process may reduce substantially the mounting fiscal deficits. • II. There will be enough demand in. the market for the shares of these undertakings. 06/29/09

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Solution: • The first assumption only is valid assumption, as it has been mentioned that the objective of the government is to manage fiscal deficit.

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Assumptions.. • The railway authority has decided to introduce two additional super-fast trains between the cities ‘A’ and ‘B’ during the vacation time. • Assumptions • I. All the passengers who desire to travel during vacation time will get a train ticket. • II. All other modes of transport between the • cities ‘A’ and ‘B’ are already overstretched.

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Solution… • Second assumption is the valid assumption, as that is why the Railways authority has decided to introduce additional trains.

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• We must be prepared to face any eventuality and all the assignments must be completed as schedule. Director tells the Faculty members. Assumptions : • I. There is possibility of a Serious eventuality. • II. Dates are fixed for all the assignments. • III. Faculty members are Supposed to complete all the assignments. 06/29/09

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Solution… • All the assumptions are valid assumptions.

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Question on Inference : which is valid inference: • How is ‘over’ written in a certain code language ? • I. ‘Over and again’ is written as ‘pit na ja’ in that code language. • Il. ‘Boy and girl play’ is written as ‘ta ho pa ja’ in that code language.

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Solution… • Both the statements are not valid infererences.

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. Which of the. following statements must be true in order to establish that G 30 is the all embracing group that includes G1, Uno, Due and G2 ? • (1) All markets of G1, G2 include all markets of Due. • (2) All markets of G 30 include all markets of G1, Uno. • (3) All markets of G1, G2 include all markets of Uno. 06/29/09

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Solution… • 2nd statement is vital.

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Before reaching her office (from home) , Nidhi turns right 4 times and turns left 7 times (90 degree each). Her office is North facing, what can we say about her home? Options: north, south, east, west facing Solution : East facing 06/29/09

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Which course of action do you suggest? • Statement : - Courts take too long in deciding important disputes, of various departments • 1. courts should be ordered to speed up the matters • 2. Special powers should be given to the officers to settle to settle the dispute in their departments 06/29/09

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solution • Both the courses of action seem appropriate and help us in solving the matter.

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Coding • If VICTORY is coded as YLFWRUB, then how can SUCCESS be coded? • (a) VXEEIVV (b) VXFFHVV • (c) VYEEHVV • (d) None of these – • Solution: • (b) is the right answer. 06/29/09

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Course of action • Every year at the beginning or at the end of the,rnonsoons, :hav&. Of conjunctivitis, but this year, it Seems to be a major epidemic witnessed after four years. • 1 Precautionary •measures should be taken after every f ea ;td check this epidemic. • 2 People should be a visedzt dt rainy season. • Solution: none of the statement is valid

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What is the smallest number of ducks that could swim in this formation: two ducks in front of a duck, two duck behind a duck and a duck between two ducks ?. • Options: 3,5,7, none of these • Answer : 3

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The post office is to the east of the school While my house is to the south of school. The market is to The north of the post Office. If the distance of the market from the post office is ‘equal to the distance of my house to the school, and that of school and post office, then in which direction is the market with respect to my school? 06/29/09

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Answer : • North East

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A watch reads 4.30. If the minute hand points East, then in which direction will the hour hand point • NORTH EAST (ANSWER) 06/29/09

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The diagram in the left show marketing in green and systems in blue. Marketing is further classified in right pie chart. Green and maroon colour on right are what % of the systems?

1 2 3 4 5

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if in the previous graph, the actual values are reduced by half, then the maroon and blue combined is by what % more than red in the left pie chart? • 28% approximate.

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• The result of an exam is given below. Out of 1000 students who appeared • (i) 658 failed in Physics • (ii) 166 failed in Physics and Chemistry • (iii) 372 failed in Chemistry, 434 failed in Physics and Maths • (iv) 590 failed in Maths, 126 failed in Maths and Chem • Assume all students failed in at least one subject. • Th number of students who failed in all the three subjects is (1) 178 (2) 73 (3) 106 (4) 126

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Solution…. • =1000- ((658 - (166+434)) +(372 (166+126)) +(590 (434+126))+(166+434+126)) = 106 answer.

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solution

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Which of these had least cost per room?

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Solution.. • Divide the cost by the number of rooms • We get Royal Holidays with minimum cost of .41.

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FEI: black: 1997, white : 1998. Which country had maximum changein FEI?

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soluton • Just by observation, we find the answer : China

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Graph shows market shares, what is the growth rate of company A?

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Solution • Data inadequate – as we don’t know about volume or price.

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Graph shows market shares, what is the growth rate of company A, if total volume has increased by 100% and value by 50%?

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solution • Inadequate information – as we don’t know whether the growth rate is in terms of volume or price?

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Graph shows market shares, what is the annual growth rate of company A (in terms of volume), if total volume has increased by 100% and value by 50%?

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Solution… • Suppose total volume was 100 in 1991, then the company A had 25. in 2001 total volume should be 200, company A should have 50. Thus there is growth of 25 on 25 = 100% growth. Divided by 10 years, we get annual growth rate of 10%. Answer.

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• A, B, C and D are 4 villages on a straight road in that order, given that B is equidistant from A and C while C is equidistant from B and D. Two girls Reena and Sheena decide to walk from A to D, covers the distance walking at 3 km/hr and • Sheena covers the first lap (upto B) at either 1 or 4 km/ hr and then walked at the other speed till she meets Reena. Thereafter they walk together to D at Reena ‘s speed. Where did Sheena meet Reena? 06/29/09

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Solution… • Suppose the total distance is 120 km. We have three gaps of 40 km each. • The average speed of seena from A to C is : ¼ + 1/1 = 5/4 multiply it by ½, we get 5/8 reverse it : 8/5 = 1.6 km per hour. Thus Seena should first travel by 1 km per hour and then by 4 km per hour. Till Seena reach C, (80/1.6) = 50 hours – Reena should cover 50 * 3 = 150 km. Thus as per the logic they will never be able to meet (If she starts with the speed of 1 km per hour) Thus there is inadequate information. If she starts with the speed of 4 km per hour, there is a possibility that she can meet from B to C. … 06/29/09

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Continued… • If Seena starts at 4 km per hour, then she is ahead of Reena. Seena will take 10 hours to cover the distance from A to B. now she will move at 1 km per hour. And now Reena will meet her. By the time Reena reaches B, Seena is at : 3.33 km from B. Now Reena will meet her at 3.33 / (3-1) = 1.66 hours. Thus they will meet between B and C. Now they will move @ 3 km per hour. Thus from B to D, they will take 80/3 = 26.6 hours to complete the journey as per our asumptions. We need exact distance to calculate the point where they met. 06/29/09

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Data sufficiency question: • • • •

In terms of m, y is what percent of x? (A) m > 0 (B) x is m percent of y (1) (A) or (B) alone, but not by other statement • (2) Either statement • (3) Both statements together • (4) Cannot be answered 06/29/09

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Rolling 6 dice, it is found that : 1. 3 dice show same numbers and rest show different numbers 2. only one dice show 6 3. only 1 dice show 1, what is maximum and minimum no. greater than 3? • Minimum = 1, maximum = 5. 06/29/09

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A watch reads 4.30. if minute hand points east, in which direction will the hour hand point? • North east

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.333 of a number is .001 of another number, what is the ratio of the two numbers? • Let us assume the 1st number to be 3, it .33 is 1. now the second number is 1000 • Thus ratio is 3: 1000 or 1:333 answer. • Or • Let us assume the 1st number to be x. the first solution is .33X the second number is : .33x / .001, solving it we get : 333 x •06/29/09 centreanswer. for social entrepreneurship 337 Thus the ratioAFTERSCHOOOL is 1: 333 www.afterschoool.tk

1.5 of a number is 6 times another number, what is the ratio of the two numbers? • Let us assume the first number to be 100. • 1.5 of this number is 150. • This is 6 times another number, so divide it by 6, we get : 25 • The ratio is 100 : 25 • Or 4:1 answer. 06/29/09

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Shabnam wants to go to IIM, she starts from her home, which is East facing. She comes to a crossing. The road ahead takes to a hospital, the road to left takes to Gujarat University, in which direction is IIM from her home? • South – East

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A taxi goes 20 Km north, turns right and goes 30 km then turns right again and goes 35 km. Now turning left goes 15 km. Finally turns left and again goes 15 km. in which direction and how far is the taxi from the original starting position? • 45 km east from the starting point. 06/29/09

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a to f are 6 members in a family. There are 2 couples. D is brother of F and both are lighter than B, who is mother of D and lighter than E. C is a lady and is neither the heaviest or the lightest in the family. E is lighter than C. the grandfather is the heaviest. E is a man. Show the family diagram and as per weight also. 06/29/09

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Solution… • The grandfather is A, and couples are AC (A is man, C women), EB (E is man and B is woman) and we have two kids : F and D. • The relation as per weight is clear. The heaviest is A, followed by C, E B and then we have D and F. we don’t know who is lighter among D and F. 06/29/09

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A to F are members of a family. There are 1doctor, 1advocate, 1engineer, 1housewife, 2 students in the family. There are 2 couples. F is the father of E and is doctor. A is girl student and her husband is not an advocate. B is the grandmother of D and is housewife. Her husband is an engineer. D is sister of E. What is the profession of A’s husband?

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Solution… • A’s husband is a doctor by profession.

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P starts crossing the field diagonally after walking half way he turns right. Walks same distance turns left. Which direction is he facing now? R NORTH

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p SOUTH

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From the original position, P & Q move clock wise and cover half distance. R & S move anticlock wise and move one side distance. Both the groups then cross over diagonally opposite direction. If original configerationis PSQR, what is new configuration? R Q 06/29/09

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Solution… • RQSP

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From the original position, P & R move diagonally opposite corners. Then they move one side anticlock wise and clock wise respectivley. S and Q move two sides each clock wise and anticlock wise. Where is P now? p

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SOLUTION • SOUTH WEST CORNER POSITION.

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From the original position, P & R move diagonally opposite corners. Then they move one side anticlock wise and clock wise respectivley. S and Q move two sides each clock wise and anticlock wise.Who is at north west corner now? R

p

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SOUTH Q

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SOLUTION • R

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Is X > 3? 1. x^2 – 8x +12 < =0 2. x^2 – 2x – 8 < = 0 • No answer is possible as we cannot draw the answer from either statement. • Formula :[ - b + - sqrt (b^2 - 4ac) ]/ 2a • = 8 + 4 / 2 and ( 8 – 4) / 2 • We get x = 6 and 2 • (2 + sqrt(4 +32) /2 = 4 and - 2 • we get x = -2 and 4 from second equation. 06/29/09 AFTERSCHOOOL centre for social entrepreneurship 352 www.afterschoool.tk

Is sqrt x > 1/x ? • • • •

1. x > 0 2x<0 Try from .04 and 4 we cant get the answer. Answer cannot be drawn from either statement.

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The sum of an infinite GP : p, 1,1/p, 1/p^2 …. Is a / 2, what is the value of p? • • • • • •

Sum of infinite GP = a / (1 – r) P / ( 1 – 1/p) = a / 2 2p = (ap – a) /p 2p^2 = ap – a P^2 = ap – a / 2 P = sqrt ((ap – a ) / 2 )

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• • • • • •

If : (3+5+7……nth term) / (5+8+11….10th term) = 7 , what is n?

Sum of AP = n/2 (2a + (n-1)d) A = first term D = difference = sum of the denominator series is 185 Numerator series / 185 = 7, so numerator series total = 1295 • =n/2 (6 + (n-1) 2) = `1295 06/29/09

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Continued… • • • • • • • •

n/2 (6 + (n-1) 2) = `1295 =n (6 + 2n – 2) = 2590 =6n + 2n^2 – 2n = 2590 2n^2 +4n – 2590 = 0 [ - b + - sqrt (b^2 - 4ac) ]/ 2a = (( -4 + sqrt(16 + 20720)) / 4 =( - 4 + 144) / 4 =35 answer

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A vending machine has 5 switches for coke,7up,maza,limca,pepsi. Each switch gives 2 different drinks. Each drink can be obtained from 2 switches. If two switches are pressed, if there is common drink, nothing will come out, otherwise you will get the drink desired. Press the right combination for getting the drink. . 06/29/09

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1+3 = 7up and maza, 1+2 = coke, pepsi, 1+4 = limca,coke, maza, pepsi switch 1,2,3,4,5 don’t give 7up, limca,coke, maza, pepsi respectivley. • What is 2+3? • Maza + Limca+ 7up c,m,p,7up • Coke maza pepsi, limca, 7up • Answer : pepsei, 06/29/09 AFTERSCHOOOL centre for limca, 7social upentrepreneurship www.afterschoool.tk

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Solution … • Prepare a matrix of rows and columns with drinks in one side and switch in one side to know the right combination.

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Coke will definitely come from which combination? • • • • •

1,3 1,5, 2,4 2,5 Soluton: 1,5

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What should you turn on for limca + coke ? • • • • •

2,3 1,2,3,5 1,3,4 2,3,4 Answer : 1,2,3,5

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7up

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How many integers N are there such : r < n < s? 1. s-r = 5 2. r & s are not integers • Both the statements are required.

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What is the time difference between NY and London? 1. departure time at NY is 9 am and arrival time at London is 10 am (both local times) 2. flight time is 5 hours.

• Both the statements are required. 06/29/09

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X says to Y : “ I am 3 times as old as you were 2 years ago.” how old is x? 1. Y’s age 17 years from now is same as X’s present age 2. X’s age nine years from now is 3 times Y’s present age • Answer can be drawn only from the 1st statement. 06/29/09

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In a row of poles, one pole is 11th from either side. How many poles are there is in the row :

• 10 poles before and 10 after • Total we have 10 + 10 + 1 = 21 answer.

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A,B,C are standing in a queue. There are 5 persons between A and B and 8 persons between B and C. if there are 3 persons ahead of C and 21 persons after A, what could be the minimum number of persons in the queue? • Answer is : 28 answer 06/29/09

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370

BM was counting up odd numbers from 1 onwards. Vivek was counting downards 32. Will they count the same number together? Their speed is same. • No.

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371

Maximum 36 vehicles are marked in a parking lot in a single row. After the first car, there is one more bike. After the 2nd car there are 2 bikes and after 3rd car, there are 3 bikes and so on. How many bikes are there in the second row?

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372

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373

A performance review table is incomplete with some more details…

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374

Additional information • Half the workers were either excellent or good. • 40% of the workers were females. • One third of the male workers were average. • How many students are both female and excellent 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

375

Solution…

excelle nt total

avg

good

male

16

22

10

48

female

24

8

0

32

total

40

30

10

80

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376

answer • Zero

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377

In which month was the greatest absolute change in market value for any share recorded? (black bar = XYZ, white bar = ABC )

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378

SOLUTION… • MARCH (by observation, we find the share prices of XYZ have increased by some 17 points)

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379

The average market value of XYZ. shares is, by what percent less or more than the same for ABC? (black bar = XYZ, white bar = ABC )

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380

SOLUTION • • • • •

ABC is approx. 75 XYZ is approx. 103 The difference is : 28 28/75 *100 =36% approx. answer.

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381

(black bar = XYZ, white bar = ABC ), market capitalisation means no. of shares * market price. Both companies have 1000 shares. What is the maximum market capitalisation of any company over the period?

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382

Solution… • The highest price visible is of ABC of 68 in the month of April. • 68 *1000 gives us 68000. thus highest market capitalisation possible is 68000 for ABC.

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

383

Which Lok Sabha had minimum seats?

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384

Solution… 498.8662132 500 502.9585799 523.6486486 521.3270142 544.4126074 543.6893204 550 517.2413793 AFTERSCHOOOL centre for social entrepreneurship 544.6927374 www.afterschoool.tk

• We have to calculate the number for each loksabha. We find that it is least in the first lok sabha itself. It is 499 for the first year.

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385

Pointing out to a lady, a girl said, ‘She is the daughter-in-law of the grandmother of my father’s only son.” How is the lady related to the girl? • MOTHER (start from last and try to solve backward and you are able to solve it.) 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

386

Introducing a man to her husband, a woman said, “His brother’s father is the only son of my grandfather.” How is the woman related to this man? • Sister (answer)

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387

What will be next in the series: 4, 5, 9,18,34 … • • • •

Options: 43, 59, 50, 49 Solution… 4 + 1, = 5, 5 + 4 = 9, 9 + 9 = 18…. So on, we can see that only square values in series are added – thus the next value to be added will be 25, so 34 + 25 = 59 .

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388

What will be the next in the series : 66,36,18 … • Options: 3,6,8,9 • Solution: • • • •

6 * 6 = 36, 3 * 6 = 18 1*8=8 So next number will be 8 .

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389

What will be the next in the series : 21,25,33,49,81,.. • Options: 145,111,113,127 • Solutions • Look at the differences : 4,8,16,32 so on. It is a series : • Thus next number will be : 81 + 64 = 145 ans 06/29/09

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390

What will be the next in the series : 12,32,72,152 … Options : 313, 312, 315, 512 Solution: Look at the difference : 20,40,80,160… Thus next number shouold be : 152 + 160 = 312 answer. 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

391

DATA SUFFICIENCY QUESTION: Vishal takes morning train to his office from Bikaner to Delhi. His colleague Tarun joins him on the way. There are three stations A,B,C on the way (not necessarily in this order), What is the sequence of these stations?

• STATEMENTS: `1. Tarun joins at B • 2. Mr. Jitesh who travels between A & C is with Vishal and nevercentre travels with Tarun. 392 06/29/09 AFTERSCHOOOL for social entrepreneurship www.afterschoool.tk

Solution… • Both the statements are inadequate to answer : as we don’t know out of A and C which comes earlier. There is not confirmed information in the question.

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393

Data sufficiency question… What is the value of prime number X? • X ^2 + x is a two digit number greater than 50 • X^3 is a three digit number • Solution… • Both the statements are required to give the answer. – as 7 is the only prime number which fulfills both the conditions. 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

394

DATA SUFFICIENCY QUESTION: Vishal takes morning train to his office from Bikaner to Nokha and was delayed by 40 minutes due to engine trouble. What is the distance beteween bikaner and Nokha statements : 1. Engine trouble developed after 40 km from Bikaner and speed reduced by 1/4th of the original speed 2. engine trouble developed after 2 hours of journey and speed reduced by 1/4th. 06/29/09

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395

DATA SUFFIENCIENCY : The ratio of two number x and y is 2:3 what are the values of x and Y?

• • • •

1. 3x – 2y = 0 2. 2x + 7 y = 1 Solution…. 2nd statement alone is sufficient to answer 06/29/09

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396

Read this table carefully and answer: What per cent of Karnataka’s railway network has broad gauge tracks?

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397

solution • Total rail network in Karnakatak : 552 • Thus 365/552 *100 gives 66.12% answer.

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

398

Read it and answer If the share of system software in the total remains same 1990 as in 1988; and in 1990, the total exports is Rs. 9,000 the system software export in 1990 is

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399

Solution… • 2800 / 6300 * 9000 = 4000 answer

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

400

Read it and answer If the share of system software in the total remains same 1990 as in 1988; and in 1990, the total exports is Rs. 9,000 the financial software export in 1990 is

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

401

Solution • Answer cannot be determined.

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402

By how many times has AIR’s (both Vividh bharati and Primary channel) commercial earnings increased over the given period?

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403

Solution… • AIR revenue increased from 6.26 to 81 over the period of time. • Thus it has increased by : 12.9 times. • 81 has been arrived by adding 37.3 and 43.7 (both the channels).

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

404

If 50 units each of A and B are produced, which machine has been poorly utilised?

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405

solution • Except in machine 2nd, all the macines are having 100% capacity utilisation. • You can see this for machine 1 as : 50 * 3 + 50 * 4 = 350 • Answer = 2nd machine

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

406

I go 2 km towards east, I turn right and go 1 KM then I again turn right and I go 1 KM. In which direction am I now from my starting point? • Answer: south east

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

407

A three CM cube has been painted red on all its sides. It is cut into one CM cubes. How many cubes will be there with one side painted red? • 26 cubes will have one or more sides painted, out of these, some will be having 2 sides painted and some 3 sides painted. The number of cubes having only one side painted will be : 6 answer. 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

408

X+y+z > 0, is Z > 1? Data sufficiency: 1) : Z > x +y, 2) : X+Y < 1 • Both the statements are not sufficient

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409

X+y+z > 0, is Z > 0? Data sufficiency: 1) : Z > x +y, 2) : X+Y < 1 • 1st statement alone is sufficient to answer the question.

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410

Question on assumptions • • • • • • •

: “If you are beautiful, we will catch your beauty. If you are not, we will make you beautiful.” —An advertisement of a photo Studio. I. How to look beautiful, is a problem of youngsters? II. Nobody desires to be beautiful

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411

Answer …. • Only the first assumption is valid assumption.

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412

Question on assumption… • • • •

The integrated steel plants in India would no longer have to depend on imports for continuous casting refractories. I; Continuous casting refractories are. needed by India. • II. Continuous casting refractors are in demand. 06/29/09

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413

Solution… • Both the statements are valid assumption…

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414

What is the missing number?

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415

Solution… • Based on logic : • 4+ 1 – X = 4 • SO X = 1.

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416

FIND THE MISSING VALUE (here instead of 41 read 42)

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417

SOLUTION… • The answer is 7, • 7 * 4 = 28 and 7+4 = 11. answer

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

418

• On rolling 6 dice, it is found that: • I. Three of the dice show the same number. The rest show different numbers. • II. Only one dice shows 6. • III. Not more than 3 dice show 4 or more. What is the minimum possible total of numbers on the faces if the three dice show the same number 2? 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

419

Answer… • The answer should be 21 with the following breakup : • Three dice of 2 each • One dice each of 4,5,6. • Total them up = 21. answer.

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

420

Question on puzzle • On rolling 6 dice, it is found that: • I. Three of the dice show the same number. The rest show different numbers. • II. Only one dice shows 6. • III. Not more than 3 dice show 4 or more. • What is the maximum total if 4 of the dice show less than 4? 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

421

Solution… • Answer is 22 with the following combination: • Three 3 = 3* 3 = 9 • One each of 2,5,6 = 13 • Total 22. answer.

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

422

Puzzle… • On rolling 6 dice, it is found that: • I. Three of the dice show the same number. The rest show different numbers. • II. Only one dice shows 6. • III. Not more than 3 dice show 4 or more. • If only 1 dice shows 1, what is the maximum number of dice with numbers greater than 4? 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

423

Solution… • Answer is 2.

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

424

Puzzle … • On rolling 6 dice, it is found that: • I. Three of the dice show the same number. The rest show different numbers. • II. Only one dice shows 6. • If only 1 dice shows 1, what is the maximum number of dice with numbers greater than 4? 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

425

Solution…. • We can take as under : • 6,5,5,5,4,1, • Thus answer is 4.

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

426

After his.oftlce, in the evening, a man walks facing the sun. He turns first to his right, then to his left and again to his left and then to his right. In which direction is he moving now?

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

427

Solution… • He is moving towards west. You can cancel two left movements and two right movements by each other.

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

428

Starting from a point, Jitendra walked 12 m towards North, he turned right and waked 10 m, he again turned right and walked 12m, then he turned left and walked 5 m. How far is he now and which direction from the starting point?

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

429

Solution… • 15 m. east

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430

What is the all India annual growth rate in demand of X as the following table?

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

431

Solution… • A compound growth rate of 14.14 will make 146.54 to 283.9 in 5 years. • 146.54* (1.1414)^5 = 283.9

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

432

Out of these, which region had highest growth rate?

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433

Solution • The highest growth in the East section (in %) • In absolute terms, the highest growth rate is in South region

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434

WHAT IS THE NET DEMAND AT B?

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435

SOLUTION • THE NET DEMAND AT B IS • 1200 – (250 + 550) = 400. ANSWER.

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

436

FOUR FRIENDS ARE SITTING IN A ROW TO BE PHOTOGRAPHED. • D IS TO THE RIGHT OF B. C IS NEXT TO B. A IS AT ONE EXTREME. B IS NOT IN MIDDLE. THERE IS ONLY ONE PERSON TO THE LEFT OF C. • WHAT IS THE EXACT ORDER OF SITTING ARRANGEMENT?

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

437

SOLUTION • PUT C IN 2ND POSITION FROM LEFT AND A AND B IN EXTREME POSITIONS • ADCB • Answer.

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

438

Four friends are being photographed? • D IS TO THE RIGHT OF B. C IS NEXT TO B. A IS AT ONE EXTREME. B IS NOT IN MIDDLE. IN THE PHOTO THAT WE TAKE, THERE IS ONLY ONE PERSON TO THE LEFT OF C. • WHAT IS THE EXACT ORDER OF SITTING ARRANGEMENT? 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

439

SOLUTION • NOW WE HAVE TO PUT C AT 2ND POSITION FROM LEFT FROM OBSERVER’S PERSPECTIVE. • A AND B ARE AT THE TWO ENDS. • SITTING ARRANGEMENT IS : • ACDB. • ANSWER. 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

440

There were 6 cars in an exhibition. Alto was to the immediate right of Swift. Spark was between ambassador and Indica. I10 was at one of the extreme ends. If you take the third car from your right (when you observe these cars), then you find a car whose name starts from I. What is the 3rd car from your left? 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

441

Solution… • It will be either spark or swift • (draw the maps and solve it).

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AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

442

6 friends are getting photographed. They are sitting in a row. A and C are sitting together. D is to the immediate right of B. C is in the 2nd position from left (when you observe them), E and F are in the middle. There are three persons to the left of E. A is to the right of maximum number of persons. What is the correct sitting order? 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

443

SOLUTION…. • The correct solution is : • ACEFDB

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444

ARGUMENT…. • Should there be world government? • A 1. yes, it will help in eliminating tensions • A 2: no – then only developed countries will dominate. • ANSWER : • Both the arguments are logical arguments… 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

445

QUESTION ON BLOOD RELATION… Ram says: “he is the husband of X, who is the daughter of Y, who is daughter of Z, who is my father.”. What is the relation between Ram and Y. ANSWER : Ram and Y are brother and Sister.

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446

QUESTION ON CODING : • A COMPUTER USES FOLLOWING SYSTEM WHILE SOLVING: • Input : 23, 09, 320, 90, 12, • 1st step: 320, 23, 09, 90, 12 • 2nd step : 320,90,23,09,12 • 3rd step & Output: 320,90,23,12,09 • In how many step will following input be solved : 90,121,94,23,233,898,22,400? 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

447

Solution… • • • • • • •

Input : 90,121,94,23,233,898,22,400? 1st step: 898, 90,121,94,23,233,22,400 2nd step: 898,400, 90,121,94,23,233,22, 3rd step: 898,400,233, 90,121,94,23,22, 4th step: 898,400,233,121,90,94,23,22. 5th step: 898,400,233,121,94,90,23,22 Thus the question is solved in 5 steps. Answer.

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448

SYLLOGISM • •

1. : all rooms are stones 2. all stones are diamonds Conclusion: 4. All rooms are diamonds 5. All diamonds are rooms 6. All stones are rooms 7. No conclusion can be drawn 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

449

Answer • Only 1st conclusion can be drawn

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450

Syllogism • • • • • • •

1. all chairs are tables 2. all tables are books Conclusion 1. some chairs are tables 2. some chairs are not tables 3. some tables are not chairs 4. no conclusion can be drawn

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451

Answer • Only 1st conclusion can be drawn

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452

Read the information carefully: A,D, F,M are girls A,D,E,F,G,H, are intelligent B,C,D,E,F,G, are hardworking C,D,E,G,H,M are honest A,B,C,D,E,F,M,H are ambitious Boys play Cricket, Girls play Chess name the persons, who are ambitious chess players. 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

453

solution • A,D,F,M are the ambitious chess players

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454

Read the information carefully: A,D, F,M are girls A,D,E,F,G,H, are intelligent B,C,D,E,F,G, are hardworking C,D,E,G,H,M are honest A,B,C,D,E,F,M,H are ambitious Boys play Cricket, Girls play Chess name the persons, who are the chess players, who are neither honest, nor hardworking, ambitious , intelligent? 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

455

Answer • None

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456

Read the information carefully: A,D, F,M are girls A,D,E,F,G,H, are intelligent B,C,D,E,F,G, are hardworking C,D,E,G,H,M are honest A,B,C,D,E,F,M,H are ambitious Boys play Cricket, Girls play Chess name the persons, make a cricket team of hardworking, intelligent and honest players 06/29/09

AFTERSCHOOOL centre for social entrepreneurship www.afterschoool.tk

457

Solution… • E and G.

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458

2^a = 3^b = 6^-c , what is value of 1/a +1/b +1/c? • Let us assume a value which we can equate with all these values. (use log table for solving this question). • Let us take all these values equal to 1. thus value of A, B and C are equal to Zero. Thus the answer is Zero. • We can also assume these values to be equal to 6. • A = 2.6, B =1.65 and C = -1 • Now putting these values: ½.6 + 06/29/09 www.afterschoool.tk centre for social entrepreneurship 459 1/1.65 – 1 AFTERSCHOOOL www.afterschoool.tk

Log T + Log (T-3) = 1, what is T? • We know that Log 10 = 1. (Log 10 10 ) • In log, we multiply, where the symbol is +. • Thus t * (t-3) = 10 ; T^2 -3T =10; • T^2 -3t -10 = 0 • T^2 – 5T + 2T -10 = 0 • T (T-5) +2 (T-5); T-5 = 0 or T =5; T+2 =0 • T = 5 or -2 • Thus T = 5 answer. 06/29/09

AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 460 www.afterschoool.tk

• • • •

Sum of 2 numbers is 52 and their difference is 2. what are the numbers? X + Y = 52 X –Y = 2 Add these: 2X = 54; X = 27 Y = 25 answer.

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AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 461 www.afterschoool.tk

Diagonal of rectangle is 5 CM. One of its side is 4 CM. Its area is ?

• Let us find the other side. • As per pythogorus rules, other side is sqare root of (5^2-4^2) = square root of (25-16) = square root of 9 • Other side is 3. • Area = 4*3 =12 answer. 06/29/09

AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 462 www.afterschoool.tk

Fourth part of a number exceeds the sixth part by 4. what is the number? • • • •

X / 4 – X /6 = 4 (6X-4X) / 24 = 4 2X = 96 X = 48 answer.

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AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 463 www.afterschoool.tk

Two numbers are such that twice the smaller number is less than twice the greater one by 18 and 1/3 of smaler and 1/5 of greater number are together 21. What are numbers? • Bigger num be r = X , smaller no. = Y • 2X-2Y = 18; 1/ 5 X + 1/ 3Y = 21 • Let us multi ply second eqation by 10, we get: 2X + 10/ 3 Y = 210. S ubtr act t hi s equat ion from 1 st . We get -16/ 3 Y = -192 • Y = 19 2 *3/ 16 = 36. t hus smaller nu mber is 36. Put ting this in fir st equation, we get 2X = 90 or X = 45 an swer.AFTERSCHOOOL . www.afterschoool.tk 06/29/09 centre for social entrepreneurship 464 www.afterschoool.tk

A number between 10 & 100 is five times the sum of its digits. If 9 is added to it, digits are reversed. What is the number?

• Let us assume unit digit to be X & digit at tenth place to be Y. • The number is : 10Y +X • 10Y +X= 5 (X +Y) • (10Y +X ) +9 = 10X +Y or 9y-9X = -9 or Y-X =-1 • 10Y – 5Y=5X-X or 5Y = 4X or Y = 4 and X = 5 thus number is centre 45. for social entrepreneurship 06/29/09 AFTERSCHOOOL www.afterschoool.tk 465 www.afterschoool.tk • Solve such question by options.

Find the fraction which is equal to ½ when both its numerator and denominator are increasd by 2 and is equal to ¾ when both are increased by 12? • Options: 3/8, 5/8, 3/8, 2/3 • Try from options. First option gives you answer. If you add 2 in each, you get 5/10 (which is ½) and if you add 12 in both the digits, you get 15/20 (which is ¾). 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 466 Thus optionwww.afterschoool.tk 1 gives answer.

If X: Y = 3:4, value of x^2y +xy^2 :x^3+y^3? • Putting X = 3 and Y = 4. • 36+48: 27+64 • 84:91 (divide both the numbers by 7). • = 12:13 answer.

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AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 468 www.afterschoool.tk

If 2s:3t is duplicate ratio of 2s-p:3t-p then which is true: p^2= 6st or p =6st or 2p =3st

• Try from options. • Let us assume that P = 6. and as per first option, St = 6. Let us try putting values in s and t and if we get correct answer, we get answer. S = 2, T = 3 or 4:9 • We get next ratios as : -2: 3 (which is subduplicate ratio of 2s:3t) thusAFTERSCHOOOL this is the answer. 06/29/09 www.afterschoool.tk centre for social entrepreneurship 469 www.afterschoool.tk

ABO UT AF TERSCH OO OL Afterschoool conducts three year integrated PGPSE (after class 12 th along with IAS / CA / CS ) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /CM A / FRM . This course is also available online also. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing society. 06/29/09

AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 470 www.afterschoool.tk

Why such a programme? • To promote people to take up entrepreneurship and help develop the society • To enable people to take up franchising and other such options to start a business / social development project • To enable people to take up social development as their mission 06/29/09 AFTERSCHOOOL www.afterschoool.tk for social entrepreneurship 471 • To enable people tocentre promote www.afterschoool.tk

Who are our supporters? • Afterschoolians, our past beneficiaries, entrepreneurs and social entrepreneurs are supporting us. • You can also support us – not necessarily by money – but by being promotor of our concept and our ideas. 06/29/09

AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 472 www.afterschoool.tk

About AFTERSCHOOOL PGPSE – the best programme for developing great entrepreneurs • Most flexible, adaptive but rigorous programme • Available in distance learning mode • Case study focused- latest cases • Industry oriented practical curriculum • Designed to make you entrepreneurs – not just an employee • Option to take up part time job – so 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 473 earn while you learn www.afterschoool.tk

Workshops from AFTERSCHOOOL • • • • •

IIF, Delhi CIPS, Jaipur ICSI Hyderabad Branch Gyan Vihar, Jaipur Apex Institute of Management, Jaipur • Aravali Institute of Management, Jodhpur • Xavier Institute of Management, Bhubaneshwar • Pacific Institute, Udaipur 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 474 www.afterschoool.tk • Engineering College, Hyderabad

Flexible Specialisations: • • • • •

Spiritualising business and society Rural development and transformation HRD and Education, Social Development NGO and voluntary work Investment analysis,microfinance and inclusion • Retail sector, BPO, KPO • Accounting & Information system (wi th CA / CS /CMA ) • Hospital management and Health care • Hospitality sector and culture and heritage • Other sectors of high growth, high technology and social relevance 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 475 www.afterschoool.tk

Salient features: • The only programme of its kind (in the whole world) • No publicity and low profile course • For those who want to achieve succ ess in life – not just a degree • Indepth knowledge and expert ise • Professional approac: World class approach • Strong intellectual and business capabilities • Flexible – you may stay for a month and continue the rest of the education by distance mode. / you may attend weekend classes • Scholarships for those from poor economic background • Lat es t and constantly changing curriculum – keeping pace with the time • Placement for those who are interested 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre social entrepreneurship 476 • Admissions open throughout thefor year www.afterschoool.tk • Latest and most advanced technologies, books and

Components •

Pedagogy curriculum and approach based on IIM Ahmedabad and ISB Hyderabad (the founder is alumnus from IIMA & ISB Hyderabad) • Meditation, spiritualisation, and self development • Essential softwares for business • Business plan, Research projects • Participation in conferences / seminars • Workshops on leadership, team building etc. • Written submissions of research projects/articles / papers • Interview of entrepreneurs, writing biographies of entrepreneurs • Editing of journals / newsletters • Consultancy / research projects • Assignments, communication skill workshops • Participation in conferences and seminars • Group discussions, mock interviews, self development diaryng 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 477 • Mind Power Training & writing workshop (by Dr. T.K.Jain) www.afterschoool.tk

Pedagogy • • • • • • • • •

Case analysis, Articles from Harvard Business Review Quiz, seminars, workshops, games, Visits to entrepreneurs and industrial visits Presentations, Latest audio-visuals Group discussions and group projects Periodic self assessment Mentoring and counselling Study exchange programme (with institutions out of India) • Rural development / Social welfare 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 478 projects www.afterschoool.tk

Branches • AFTERSCHOOOL will shortly open its branches in important cities in India including Delhi, Kota, Mumbai, Gurgaon and other important cities. Afterschooolians will be responsible for managing and developing these branches – and for promoting social entrepreneurs. 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 479 www.afterschoool.tk

Case Studies • We want to write case studies on social entrepreneurs, first generation entrepreneurs, ethical entrepreneurs. Please help us in this process. Help us to be in touch with entrepreneurs, so that we may develop entrepreneurs. 06/29/09

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Basic values at afterschoool • • • • • •

Share to learn more Interact to develop yourself Fear is your worst enemy Make mistakes to learn Study & discuss in a group Criticism is the healthy route to mutual support and help • Ask fundamental questions : why, when, how & where? • Embrace change – and compete with yourself only 06/29/09 AFTERSCHOOOL www.afterschoool.tk centre for social entrepreneurship 481 www.afterschoool.tk

www.afterschoool.tk social entrepreneurship for better society

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