Management Aptitude Test 11 Nov Ii
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MANAGEMENT APTITUDE TEST 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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MANAGEMENT APTITUDE TEST Dr. T.K. Jain.
AFTERSCHO☺OL Centre for social entrepreneurship Bikaner M: 9414430763 [email protected] www.afterschool.tk, www.afterschoool.tk www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the sum of digits of number (10^500 - 123456789) 1. 4447 2. 4457 3. 4467 4. 4465 5. 4456
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
• Look at options and solve it. As we deduct 123456789, the last few values left are 999876543211. as we can see that these values have been reduced by 123456789 so their reduction is by 45. thus 45 – 1 (which is there is 10) = 44 should be additive identity. Only option 4456 gives the answer. (4456+44 gives 4500,which is round number). Thus answer is 4456. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A, B, C purchase 100, 150 & 250 toffees from wholesaler for a total of Rs. 300, Rs. 375 & Rs. 500 respectively. In this process wholesaler earned p% & q% profit from A & C where p=3q. How much profit did the wholesaler make in this transaction with B? • 1. 67% 2. 33% 3. 25% • 4. 100% 5. None of these www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • • • • • • • • • •
Let us assume p = 30 and q = 10 Sale price of first (assume cost 100) =130 Sale price of c = 110 130 – 110 = 20 which is 2Q Solution : Sale price of 100 tofees = 3 per tofee That of 250 tofees = 2 per tofees Difference = 3-2 = 1 rupee = 2Q P = 3q or P – q = 2q. Thus q = .5. cost of one toffee = 1.5 per tofee
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution continued . . • • • •
Cost of b toffee = 150 * 1.5 = 225. Sale price = 375 Profit = 375 – 225 = 150 or rupee 1 per tofee. • 150/225*100 = 66.7% answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A shopkeeper give one scientific calculator free with five mobile phones, which in other words is giving 20% discount on the sale of mobile phones. Then what is the percentage of difference between two scientific calculator and a mobile? (1) ±42% (2) ± 52% (3) ± 60% (4) ± 62% (5) ±70%
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Let us assume that one mobile costs Rs. 100. thus 5 mobile costs Rs. 500 we can give discount of 20% which is 100. Thus the final price is 400 • Price of one calculator is Rs. 100 (equal to the discount). We take 2 calculator as = 200. The final price of one mobile is Rs. 80. thus difference is 120. 120/200 *100 = 60% answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
11 hockey players are to be selected out of 16 players. Team must have 1 goal keeper, 5 defenders & 4 forwards. Out of 16,2 are goal keeper, 9 forward & remaining are defenders. Find now many ways can a team he selected? 2256 252 256 108 112 308
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • There are 2 goal keepers out of whom 1 has to be selected so we have 2 options here. • We have to select not 4 but 5 forwards out of 9, so solution: 9c5 = 126 • We have to select 5 defenders out of 5, so we have only one choice. • Thus total choices: 2X 126X1 = 252 answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
There are 2 trains moving in opposite direction. They are of equal length. Their speeds are also 90 KM per hour each. They 1 minute to cross each other. What is the length of each of these trains?
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • • • •
Speed of 1 train : 90 Speed in meters / per second = 90*5/18 =25 meters per second. The combined speed is 50 meters per second. • Thus the two trains have taken 60 seconds and have travelled : 60*50=3000 • Thus length of one train = 1500 meters. (each). www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Ram Kap and goti start business with equal capital. Ram double the money every month. Kap trible the capital every quarter and goti quadruple the capital every 6 month. What is their profit sharing ratio at the end of the year?
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Their capital ratio comes to : • 4095:120:84 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
3/4 th of 68 is less than 2/3 of 114 by? • ¾ *68 = 3*17 = 51 • 2/3 *114 = 2*38 =76 • Their difference is 25 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
LCM and HCF of 2 numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, the larger number is ? • • • •
The two numbers are X and 4X. Let take factorisation of 84 and 21. Factorisation of 84 = 2*2*3*7 Since HCF is 21, the numbers are 21 and 84 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
1/3rd of a number is 3 more than 1/4th of the number, what is the number? • • • •
Let us assume the number to be X. X/3 – X/4 = 3 (4X – 3X ) / 12 = 3 X = 36 Answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If 1/8th of a pencil is black, half of the remaining is yellow and remaining 3.5 CM is blue, what is the total length of the pencil? • Let us assume the length of the pencil to be 16 CM . 2CM is black. 7 CM is yellow. 7CM is blue. Thus if 7CM is blue, total length is 16, if 3.5 CM is blue, the total length is 16/7*3.5 = 8 CM Answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the next number in the sequence: 5,25,50,250,500? • Let us first multiply a number by 5 and then multiply by 2 and so on. Thus we are able to get 2500 as the next number.
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What is the value of (1/4)^-(1/2)? • Let us first solve or – sign. We get 4^(1/2) • We know the answer now = 2*2 =4 so the answer is 2
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
How many 5 digit multiples of 11 are there, If the 5 digits are 3,4,5,6,7? • We have only 5 digits, which we can interchange. The total of these numbers is 25. for 11 to divide the difference of the alternate groups of numbers must be either 0 or 11. (25-11) = 14, dividing it in 2 parts, we get 7,7. thus alternate totals must be 7 and 18. • Thus possible numbers are: 53647. We can inter-change 5,6,7 and also 3 and 4. • Thus 3! *2! = 12 is the answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What will be the remainder when we divide 9^6+7 by 8? • we can solve it as (1^6 +7)/ 8 • (because when we divide 9 by 8, the remainder is 1.). • Thus the remainder is 0. Answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
In a bill the accountant transposed rupee for paise and vice versa. The actual invoice amount was 5.42 more than 6 times of the bill. What were the original invoice & bill amount? • Options: (a) 44.06 and 6.44 (b) 18.25 and 25.18 • Solution try options and solve it? www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • 6.44 * 6 = 38.64 • Add 5.42 in this. • We get + 44.06. Thus this is the right answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
6 workers can make 270 units per minutes (together) How many units can be made by10 workers for every 4 minutes. • 270/6 *10 *4 = 1800
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Sumit buys every year Bank s cash certificates of value exceeding the last year’s purchase by Rs. 300. After 20 years, he finds that the total value of the certificates purchased by him is Rs. 83,000. Find the value of the certificates purchased by him in the 13th year. www.afterschoool.tk
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Solution • • • • • • •
Sum = n/2 (2a + (n-1)d) =20/2 (2a + 19*300) = 83000 2a + 5700 = 8300 2a = 2600 A = 1300. Thus 13th investment was : (A + 12 D) = 1300 + (12*300) = 4900 answer.
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BM started from his house one morning in a hurry. While moving out he looked at the mirror image of a wall clock. The clock had no number on its dial. It took him 10 minute to reach his office and then only he realised his mistake as he could recollect that the time he saw while leaving home was exactly one hour behind that shown by the clock at ilie office. What was the time by the clock in his office? Options: 5:25, 5:35,6:25, 6:35 answer: 6.35 answer. www.afterschoool.tk
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In a showroom there is ‘Buy 2 Get Some Free” offer. The number of free shirts (of same type) is to be decided by tossing a coin, on which numbers 2 and 3 are written on its sides. The number of free shirts is equal to the number that appears after tossing the coin. By how much percent more than the cost price the selling price of a shirt is kept so that the showroom dealer must not incure any loses?
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Let us assume that the cost of one shirt is 100. • Expected value = 2 *.5 + 3*.5 = 2.5 • Thus when he sells for 200, his cost is 450. he gets 225 per shirt. • He must keep at least 125% above the cost to ensure no profit no loss. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the maximum number of soaps that can be produced in a day? • A factozy uses two
machines, M1 and M2 to manufacture three types of soap, P, Q & R. The efficiency of the two machines with respect to the three types of soap is given in the table below. The numbers indicate the time taken (in min.) by the two machines to manul.lcture one unit each of the three types of soap.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Let us assume that machine works for 12 hours. Machine M1 will make P (because the required is minimum) and M2 will make Q. Thus total production is : • (12*60)/8 = 90 • (12*60)/9 = 80 • Thus they will make total 170 soaps. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If X is 90% of Y. what % of X is Y? • Let us assume Y = 100 • X = 90 • Thus y = 100/90 *100 = 111% answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If X is 90% of Y. Y is 90% of Z what % of X is Z? • Let us start with Z. Z is 100, Y is 90. Now being being 90, X is 90% of Y, thus X is 81. • Z is 100/81*100 = 123.45 % of X. answer.
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At what rate percent per annum will a sum of money doubles itself in 12 years? (SI) • This is a question on simple interest (SI) • We have 100 rupees now and we want 100 more in next 12 years. Thus annual interested expected is 100/12=8.33 approx. per annum answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
At what rate percent per annum will a sum of money doubles itself in 12 years? (CI) • • • • •
This is a question of compound interest. Let us assume that the amount is X. 100 (1+R)^12 = 200 (1+R)^12 = 2 Therefore the rate is 5.9% per annum.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
the simple interest on a certain sum is 9/16 of the sum. Find the rate percent and time, if both are equal. • Let us assume that sum is 16. interest will be 9. • PRT / 100 = I (p=principal,R=rate,T=time). • 16*R^2 / 100 = 9 (R = T) • R^2 = 900/16 • R = 30 / 4 or 7.5% per annum answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A sum when reckoned at simple interest at 3 per annum amounts to Rs.364.80 after 4 years. Find the sum. • Let us assume that the amount was Rs. 100. • As per question : 100*3*4/100 = 12 or the amount becomes 112. • Thus sum was 100/112 *364.8=325 (approx.) www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Amount = Rs 1110, Time = 100 days, Rate = 5% p.a. what is simple interest? • 1110*100/365 *5/100 • =15.2 Rupees.
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A is 20% more that B and B is 10% more than C. A is what % more than C? • Let us assume C = 100. B is 110. thus A is 120/100 *110 = 132. • A = 132, C = 100. • Thus A is 32% more than C. Answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Goti spends 30% of his pocket money and has $210 left. How much did he get as pocket money? • Money left out is 70%. • 100/70 *210 = 300$
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The average age of the boys in a class of 20 boys is 15.6 years. What will be the average age if 5 new boys come whose average age is 15.4 years? • • • •
Average = Total / Number Total of 20 = 312. total of 5 = 77 Total of 25 = 389 New average = 389/25= 15.56 answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A sum of Rs.10,000 deposited at compound interest becomes double after 5 years. After 20 years, how much will it become? • Let us assume that money doubles in 5 years, from 1 we get 2 in 5 years, 4 in 10 years, and 8 in 15 years, and 16 in 20 years. Thus this amount will become 160000 in 20 years. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A sum of Rs.5000 was taken as a loan. This is to be paid in two equal installments. If the rate of interest is 20% compounded annually, then what is the value of each instalment? • Let us assume that there are 2 instalments of X amounts. Thus discounting them will give 5000. • X /(1.2 )+ X / 1.44 = 5000 www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • • • •
X /(1.2 )+ X / 1.44 = 5000 2.64X = 5000*1.2*1.44 X = (5000*1.2*1.44)/2.64 =3272.7 ANSWER.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If a certain sum is doubled in 8 years on simple interest, then in how many years will it be four times? • Let us assume that Rs 100 becomes 200 in 8 years. Thus this money generates 100/8 = 12.5 per annum of interest • We have to generate interest of Rs. 300 on Rs. 100 years. Thus years will be : 300/12.5 = 24 years. Answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A testator bequeathed by will 2/5 of his estate to his son, ‘’60% of the remainder to his daughter and the remainder to ‘his widow, the son got Rs.750 more than the daughter. How much did the widow receive? • Let us assume that the total amount was Rs. 500. Son got 200 and daughter got 180. thus the difference was only 20. www.afterschoool.tk
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• • • • • •
If the difference is 20, the total amount is 500/20 * 750 18750 is the total amount. Share of widow : 18750*3/5 *40/100 Thus the widow got. Rs. 4500 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A’s mother is sister of B and has a daughter C. How, can A be related to B from among the following? • (a) Niece (b) Uncle • (C) Daughter (d) Father • (a)
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Anil, introducing a girl in a party, said, She is the wife of the grandson of my mother. How is Anil related to the girl? • Father in law.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A man said to a woman, Your mother’s husband’s sister is my aunt. How is the woman related to the man? (a) Grand daughter (b) Daughter (c)Sister(d) Aunt • Sister
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Showing a lady in the park, . Sumit said, ‘She is the daughter of my grandfather’s only son’. How is Sumit related to that lady? (a) Father (b) Son Brother (d) Mother • Brother
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Puzzle • • • • •
(a) A x B means A is the brother of B. (b) A + B means A is the mother of B. (c) A ÷ B means A is the son of B. (d) A — B means A is the husband of B. Which of the following would mean M is the father of N: (a) M ÷ N +0 • (b) M x 0- N (c)M+0 ÷ N • (d)M-0+N www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Option D gives you correct answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Puzzle test…. • (1) In a family of six persons : A, B, C, D, E and F there are two married couples. • (2) D is grand mother of A and mother of B. • (3) C is the wife of B and mother of F. • (4) F is the grand daughter of E. What is C to A? www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Grandmother is D, Grand father is E • Grandson / grand daughter are A and F. • Thus C is mother of A. answer.
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Proper course of action? • The exodus from villages, to cities is detrimental to both. • Courses of Action: • I. Rural postings must be made mandatory. • I!. There should be fewer trains linking cities to smaller places. • III. Employment generation scheme should be launched in rural areas. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Only III is the proper course of action.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Which information is sufficient to answer the question? • Has Smith ever won an award for literature? • A. Smith won the only award existed during his time • B. During smith’s time, writing was looked down upon let alone merit an award.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Both the statements are not sufficient to answer the question.
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Which is an appropriate course of action? • Every year, at the beginning or at the end of the monsoons we have some cases of conjectivities, but this year,it seems to be a major epidemic witnessed after nearly four years. Courses of action: • I. Precautionary measures should be taken after four years to check this epidemic. • II. People should be advised to drink boiled water www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Both the course of actions are appropriate and should be immediately taken up.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Which is the most logical idea? • If an ant were as big as a horse, could it move mountains? • No. A giant ant . . . . . (select from a,b,c,d) • (a) Would be a structural failure. • (b) Would never be able to move mountains. • (c) Would be a mere curiosity. • (d) Would never be able to hunt for food. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • A giant Ant would not be able to move mountains because it is just a curoisity (we are not sure about what could it do). Other options are not logical – as logically we cannot say that it is structural failure or it cannot hunt for food or it cannot move mountains.
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Puzzle test… • Nine cricket fans are watching a match in a stadium. Seated in one row, they are J, K, L, M, N, 0, P, Q and R. L is at the right of M and at third place at the right of N. K is at one end of the row. Q is immediately next to 0 and P. 0 is at the third place at the left of K. J is right next to left of 0. • Who is sitting in the centre of the row? • (a)L (b)O • (c)J (d)Q www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution … • NRMLJOPQK • J IS IN THE CENTRE
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A and B start walking in opposite directions. A covers 3 km and B covers 4 km. Then A turns right and walks 4 km while B turns left and walks 3 km. How far is each from the starting point? • A is 3 KM in one direction and 4 KM in right. Applying pythogorus, we find that A is 5 KM from the starting point. Similarly B is also 5 KM from the starting point. Ans. www.afterschoool.tk
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Ram walks 10 m south from his house, turns left and walks 25 m, again turns left and walks 40 m, then turns right and. walks 5 m to reach to school. In which direction the school is from his house? • Draw a map and get the answer = northeast. www.afterschoool.tk
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In a class of 35 students Kiran is placed 7th from the bottom whereas Sohan is placed 9th from the top. Mohan is placed exactly in between the two. What is Kiran’s position from Mohan? • 10th • From 9th to the top and 7th to the bottom, we have 21 candidates (35-(6+8) ). Mohan is just in the centre. So from Mohan, Kiran is at 10th place. Answer. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A watch reads 4 If the minute hand points towards the East, in which direction does the hour hand point? • The hour hand is towards South West.
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Puzzle • Goti and I started walking towards each other from two places lOO m apart. After walking 30m, Goti turns left and goes lO m, then he turns right and goes 20m then turns right again and comes back to the road and starts walking. If we walk with the same speed, what is the distance between us at this point of time www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • (Goti walks 70 meters in all), so I walk 70 meters towards Goti’s starting point and now I am 30 meters from that. Goti takes only 30+20 meters on the road. Thus Goti is 50 meters from my starting point. Thus there is a gap of 20 meters between me and Goti. Answer.
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Sum of 1st to 30th terms of a series in arithmetic progèssion is 150. if the first term is A, what is 30th term of the series? • • • •
Sum = 30/2 (2a + (29)D) = 150 2a + 29d =150*2/30 = or 29 D = 10 – 2A 30th term = A + 29D 29 D = 10 – 2A, putting the value, we get the answer = 10 – A answer www.afterschoool.tk
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Question on number system • Convert 252 into binary system • 252 / 2 = 126 / 2 = 63/2 = 31/2 = 15/2 = 7/2 = 3/2 =1 (starting from last remainder to the first) • 11111100 answer. • Convert it again to decimal system: • 1*2^7+1*2^6+1*2^5+1*2^4+1*2^3+1*2^2+ 0*2^1+0*2^0 = 128+64+32+16+8+4 = 252 www.afterschoool.tk
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Multiply 12 to 13 ( note - both are octal numbers, your outcomes must also be in octal numbers)? • Let us first convert them into decimal numbers: 12= 1*8^1 + 2*8^0 =10 • 13 = 1*8^1 + 3*8^0 =11 • Now multiply 10 to 11 = 110 • Now convert it into octal number: • 110/8 = 13 / 8 • =156 •www.afterschoool.tk Test = now convert 156MATERIAL to decimal AFTERSCHO☺OL's FOR PGPSE PARTICIPANTS number
Convert 156 (octal) to decimal number ….. • 1*8^2 + 5*8^1 + 6*8^0 • =64+40+6 • =110 answer.
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Multiply 5 (base 16) to 12 (base 7) and get the outcome in binary? • • • •
(5*16^0 ) * (1*7^1 +2*7^0) 5 *9 = 45 45/2 = 22/2 = 11/2 = 5/2 =2/2 1 =101101 answer.
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78.8% of a common medicine for stomach-upsets is absolute alcohol; 3.3% of it is mentha oil; 0.07% spear mint oil; and 0.177% chloroform. How much of each of these compounds is there in a pack of 30 ml? solution alchol = 23.6 ml, 1 ml of menthol oil and so. On. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the sum of cubes of the first 5 natural numbers? • • • •
Formula = [N (N+1)/2 ]^2 = [5*6 / 2 ]^2 =225 answer.
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What is the sum of squares of the first 13 natural numbers? • • • •
Formula =[n(n+1)(2n+1) ] /6 =(13*14*27)/6 =819 answer.
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In a Class of 80 pupils, the number of boys is three-fifths the number of girls. Determine the number of girls in the class. • • • • •
Let the number of girls be X X + 3/5X = 80 8/5 X = 80 X = 80 *5/8 X = 50 (the number of girls is 50, boys are 30) answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
The difference between two numbers is 30. On dividing the greater by the smller the quotient is 3. Find the numbers. • • • •
Let the smaller number be X. 3X – X = 30 2X =30; X = 15, Thus 2 numbers are 15 and 45 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Gunpowder contains 75% nitre and 10% sulphur. The rest of it is charcoal. What is the amount of charcoal in 9 kg of gunpowder. • • • •
Charcoal is (100 – 75 – 10) = 15% 9 KG = 9000 Grams 9000*15/100 =1350 grams answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Question on profit • At what percentage alove the Cost price must an article be marked so as to gain 33% after allowing the customer a discount of 5%? • (a) 48% (b) 43% • (c) 40% (d) 38% • (e) None of the above www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution … • Let the cost be 100 • Final price being realised 133 • It is after discount, so price before discount (marked price) is : • 133*100/95 =140 , so 40 is the answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A vertical pole PO is standing at the centre 0 of a square ABCD. If AC subtends an angle 90° at point P of the pole then the angle subtended by a side of the square at Pis (a) 35° (b) 45° (c) 30° (d) 60° (e) None of the above www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • When diagonal (in a square) makes angle of 90 degree in a pyrimidical shape, then sides make angles of 60 degree. (rule). • So answer is 60 degrees.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Find the per cent of pure gold in 22 carat gold, if 24 carat gold is cent per cent pure gold. • 22/24 *100 • =91.67 % answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
In the diagram the two circles pass through each other’s centre. If the radius of each circle is 2, what is the perimeter of the region marked B?
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Permieter of one circle is 2/3 now because, it is being cut by other circle. • Thus 2/3 + 2/3 of perimeters added : • 2 * 2/3 * (formula of perimeter = 2pi *r) • =(8 * pi * r) /3 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is angle C?
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Angle O is double the angle A. Thus it is 100 degree. Thus C is (180 -100)/2 = 40 degrees answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is angle a?
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • • • • • • • •
Angles from D and C are equal . 180 – 60 – 37 – x =83 – x Let us sum up for two angles: (180+180 ) = 360 83-x + 83 – x + 180+2X = 360 2Y +2X = 180 let us assume Y = 53 2X = 72 or X = 36 answer (solve by options, so angle A = 53 ) answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
ABOUT AFTERSCHO☺OL Afterschoool conducts three year integrated PGPSE (after class 12th along with IAS / CA / CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /CMA / 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.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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 • To enable people to promote spirituality and positive thinking in the world www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
About AFTERSCHO☺OL 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 earn while you learn • The only absolutely free course on internet www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Workshops from AFTERSCHO☺OL • • • • • • • • •
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 Engineering College, Hyderabad
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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 (with CA / CS /CMA) Hospital management and Health care Hospitality sector and culture and heritage Other sectors of high growth, high technology and social relevance
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Salient features: • The only programme of its kind (in the whole world) • No publicity and low profile course • For those who want to achieve success in life – not just a degree • 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 • Latest and constantly changing curriculum – keeping pace with the time • Placement for those who are interested • Admissions open throughout the year • Latest and most advanced technologies, books and study material www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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 EsGotitial 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 Mind Power Training & writing workshop (by Dr. T.K.Jain)
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Pedagogy • • • • • • • • •
Case analysis, Articles from Harvard Business Review Quiz, seminars, workshops, games, Visits to entrepreneurs and industrial visits PreGotitations, 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 projects www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Branches • AFTERSCHO☺OL 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.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Basic values at AFTERSCHO☺OL • • • • • •
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 www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk social entrepreneurship for better society
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
– 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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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
MANAGEMENT APTITUDE TEST Dr. T.K. Jain.
AFTERSCHO☺OL Centre for social entrepreneurship Bikaner M: 9414430763 [email protected] www.afterschool.tk, www.afterschoool.tk www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the sum of digits of number (10^500 - 123456789) 1. 4447 2. 4457 3. 4467 4. 4465 5. 4456
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
• Look at options and solve it. As we deduct 123456789, the last few values left are 999876543211. as we can see that these values have been reduced by 123456789 so their reduction is by 45. thus 45 – 1 (which is there is 10) = 44 should be additive identity. Only option 4456 gives the answer. (4456+44 gives 4500,which is round number). Thus answer is 4456. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A, B, C purchase 100, 150 & 250 toffees from wholesaler for a total of Rs. 300, Rs. 375 & Rs. 500 respectively. In this process wholesaler earned p% & q% profit from A & C where p=3q. How much profit did the wholesaler make in this transaction with B? • 1. 67% 2. 33% 3. 25% • 4. 100% 5. None of these www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • • • • • • • • • •
Let us assume p = 30 and q = 10 Sale price of first (assume cost 100) =130 Sale price of c = 110 130 – 110 = 20 which is 2Q Solution : Sale price of 100 tofees = 3 per tofee That of 250 tofees = 2 per tofees Difference = 3-2 = 1 rupee = 2Q P = 3q or P – q = 2q. Thus q = .5. cost of one toffee = 1.5 per tofee
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution continued . . • • • •
Cost of b toffee = 150 * 1.5 = 225. Sale price = 375 Profit = 375 – 225 = 150 or rupee 1 per tofee. • 150/225*100 = 66.7% answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A shopkeeper give one scientific calculator free with five mobile phones, which in other words is giving 20% discount on the sale of mobile phones. Then what is the percentage of difference between two scientific calculator and a mobile? (1) ±42% (2) ± 52% (3) ± 60% (4) ± 62% (5) ±70%
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Let us assume that one mobile costs Rs. 100. thus 5 mobile costs Rs. 500 we can give discount of 20% which is 100. Thus the final price is 400 • Price of one calculator is Rs. 100 (equal to the discount). We take 2 calculator as = 200. The final price of one mobile is Rs. 80. thus difference is 120. 120/200 *100 = 60% answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
11 hockey players are to be selected out of 16 players. Team must have 1 goal keeper, 5 defenders & 4 forwards. Out of 16,2 are goal keeper, 9 forward & remaining are defenders. Find now many ways can a team he selected? 2256 252 256 108 112 308
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • There are 2 goal keepers out of whom 1 has to be selected so we have 2 options here. • We have to select not 4 but 5 forwards out of 9, so solution: 9c5 = 126 • We have to select 5 defenders out of 5, so we have only one choice. • Thus total choices: 2X 126X1 = 252 answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
There are 2 trains moving in opposite direction. They are of equal length. Their speeds are also 90 KM per hour each. They 1 minute to cross each other. What is the length of each of these trains?
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • • • •
Speed of 1 train : 90 Speed in meters / per second = 90*5/18 =25 meters per second. The combined speed is 50 meters per second. • Thus the two trains have taken 60 seconds and have travelled : 60*50=3000 • Thus length of one train = 1500 meters. (each). www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Ram Kap and goti start business with equal capital. Ram double the money every month. Kap trible the capital every quarter and goti quadruple the capital every 6 month. What is their profit sharing ratio at the end of the year?
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Their capital ratio comes to : • 4095:120:84 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
3/4 th of 68 is less than 2/3 of 114 by? • ¾ *68 = 3*17 = 51 • 2/3 *114 = 2*38 =76 • Their difference is 25 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
LCM and HCF of 2 numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, the larger number is ? • • • •
The two numbers are X and 4X. Let take factorisation of 84 and 21. Factorisation of 84 = 2*2*3*7 Since HCF is 21, the numbers are 21 and 84 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
1/3rd of a number is 3 more than 1/4th of the number, what is the number? • • • •
Let us assume the number to be X. X/3 – X/4 = 3 (4X – 3X ) / 12 = 3 X = 36 Answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If 1/8th of a pencil is black, half of the remaining is yellow and remaining 3.5 CM is blue, what is the total length of the pencil? • Let us assume the length of the pencil to be 16 CM . 2CM is black. 7 CM is yellow. 7CM is blue. Thus if 7CM is blue, total length is 16, if 3.5 CM is blue, the total length is 16/7*3.5 = 8 CM Answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the next number in the sequence: 5,25,50,250,500? • Let us first multiply a number by 5 and then multiply by 2 and so on. Thus we are able to get 2500 as the next number.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the value of (1/4)^-(1/2)? • Let us first solve or – sign. We get 4^(1/2) • We know the answer now = 2*2 =4 so the answer is 2
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
How many 5 digit multiples of 11 are there, If the 5 digits are 3,4,5,6,7? • We have only 5 digits, which we can interchange. The total of these numbers is 25. for 11 to divide the difference of the alternate groups of numbers must be either 0 or 11. (25-11) = 14, dividing it in 2 parts, we get 7,7. thus alternate totals must be 7 and 18. • Thus possible numbers are: 53647. We can inter-change 5,6,7 and also 3 and 4. • Thus 3! *2! = 12 is the answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What will be the remainder when we divide 9^6+7 by 8? • we can solve it as (1^6 +7)/ 8 • (because when we divide 9 by 8, the remainder is 1.). • Thus the remainder is 0. Answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
In a bill the accountant transposed rupee for paise and vice versa. The actual invoice amount was 5.42 more than 6 times of the bill. What were the original invoice & bill amount? • Options: (a) 44.06 and 6.44 (b) 18.25 and 25.18 • Solution try options and solve it? www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • 6.44 * 6 = 38.64 • Add 5.42 in this. • We get + 44.06. Thus this is the right answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
6 workers can make 270 units per minutes (together) How many units can be made by10 workers for every 4 minutes. • 270/6 *10 *4 = 1800
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Sumit buys every year Bank s cash certificates of value exceeding the last year’s purchase by Rs. 300. After 20 years, he finds that the total value of the certificates purchased by him is Rs. 83,000. Find the value of the certificates purchased by him in the 13th year. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • • • • • • •
Sum = n/2 (2a + (n-1)d) =20/2 (2a + 19*300) = 83000 2a + 5700 = 8300 2a = 2600 A = 1300. Thus 13th investment was : (A + 12 D) = 1300 + (12*300) = 4900 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
BM started from his house one morning in a hurry. While moving out he looked at the mirror image of a wall clock. The clock had no number on its dial. It took him 10 minute to reach his office and then only he realised his mistake as he could recollect that the time he saw while leaving home was exactly one hour behind that shown by the clock at ilie office. What was the time by the clock in his office? Options: 5:25, 5:35,6:25, 6:35 answer: 6.35 answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
In a showroom there is ‘Buy 2 Get Some Free” offer. The number of free shirts (of same type) is to be decided by tossing a coin, on which numbers 2 and 3 are written on its sides. The number of free shirts is equal to the number that appears after tossing the coin. By how much percent more than the cost price the selling price of a shirt is kept so that the showroom dealer must not incure any loses?
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Let us assume that the cost of one shirt is 100. • Expected value = 2 *.5 + 3*.5 = 2.5 • Thus when he sells for 200, his cost is 450. he gets 225 per shirt. • He must keep at least 125% above the cost to ensure no profit no loss. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the maximum number of soaps that can be produced in a day? • A factozy uses two
machines, M1 and M2 to manufacture three types of soap, P, Q & R. The efficiency of the two machines with respect to the three types of soap is given in the table below. The numbers indicate the time taken (in min.) by the two machines to manul.lcture one unit each of the three types of soap.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Let us assume that machine works for 12 hours. Machine M1 will make P (because the required is minimum) and M2 will make Q. Thus total production is : • (12*60)/8 = 90 • (12*60)/9 = 80 • Thus they will make total 170 soaps. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If X is 90% of Y. what % of X is Y? • Let us assume Y = 100 • X = 90 • Thus y = 100/90 *100 = 111% answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If X is 90% of Y. Y is 90% of Z what % of X is Z? • Let us start with Z. Z is 100, Y is 90. Now being being 90, X is 90% of Y, thus X is 81. • Z is 100/81*100 = 123.45 % of X. answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
At what rate percent per annum will a sum of money doubles itself in 12 years? (SI) • This is a question on simple interest (SI) • We have 100 rupees now and we want 100 more in next 12 years. Thus annual interested expected is 100/12=8.33 approx. per annum answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
At what rate percent per annum will a sum of money doubles itself in 12 years? (CI) • • • • •
This is a question of compound interest. Let us assume that the amount is X. 100 (1+R)^12 = 200 (1+R)^12 = 2 Therefore the rate is 5.9% per annum.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
the simple interest on a certain sum is 9/16 of the sum. Find the rate percent and time, if both are equal. • Let us assume that sum is 16. interest will be 9. • PRT / 100 = I (p=principal,R=rate,T=time). • 16*R^2 / 100 = 9 (R = T) • R^2 = 900/16 • R = 30 / 4 or 7.5% per annum answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A sum when reckoned at simple interest at 3 per annum amounts to Rs.364.80 after 4 years. Find the sum. • Let us assume that the amount was Rs. 100. • As per question : 100*3*4/100 = 12 or the amount becomes 112. • Thus sum was 100/112 *364.8=325 (approx.) www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Amount = Rs 1110, Time = 100 days, Rate = 5% p.a. what is simple interest? • 1110*100/365 *5/100 • =15.2 Rupees.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A is 20% more that B and B is 10% more than C. A is what % more than C? • Let us assume C = 100. B is 110. thus A is 120/100 *110 = 132. • A = 132, C = 100. • Thus A is 32% more than C. Answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Goti spends 30% of his pocket money and has $210 left. How much did he get as pocket money? • Money left out is 70%. • 100/70 *210 = 300$
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
The average age of the boys in a class of 20 boys is 15.6 years. What will be the average age if 5 new boys come whose average age is 15.4 years? • • • •
Average = Total / Number Total of 20 = 312. total of 5 = 77 Total of 25 = 389 New average = 389/25= 15.56 answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A sum of Rs.10,000 deposited at compound interest becomes double after 5 years. After 20 years, how much will it become? • Let us assume that money doubles in 5 years, from 1 we get 2 in 5 years, 4 in 10 years, and 8 in 15 years, and 16 in 20 years. Thus this amount will become 160000 in 20 years. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A sum of Rs.5000 was taken as a loan. This is to be paid in two equal installments. If the rate of interest is 20% compounded annually, then what is the value of each instalment? • Let us assume that there are 2 instalments of X amounts. Thus discounting them will give 5000. • X /(1.2 )+ X / 1.44 = 5000 www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • • • •
X /(1.2 )+ X / 1.44 = 5000 2.64X = 5000*1.2*1.44 X = (5000*1.2*1.44)/2.64 =3272.7 ANSWER.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If a certain sum is doubled in 8 years on simple interest, then in how many years will it be four times? • Let us assume that Rs 100 becomes 200 in 8 years. Thus this money generates 100/8 = 12.5 per annum of interest • We have to generate interest of Rs. 300 on Rs. 100 years. Thus years will be : 300/12.5 = 24 years. Answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A testator bequeathed by will 2/5 of his estate to his son, ‘’60% of the remainder to his daughter and the remainder to ‘his widow, the son got Rs.750 more than the daughter. How much did the widow receive? • Let us assume that the total amount was Rs. 500. Son got 200 and daughter got 180. thus the difference was only 20. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
• • • • • •
If the difference is 20, the total amount is 500/20 * 750 18750 is the total amount. Share of widow : 18750*3/5 *40/100 Thus the widow got. Rs. 4500 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A’s mother is sister of B and has a daughter C. How, can A be related to B from among the following? • (a) Niece (b) Uncle • (C) Daughter (d) Father • (a)
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Anil, introducing a girl in a party, said, She is the wife of the grandson of my mother. How is Anil related to the girl? • Father in law.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A man said to a woman, Your mother’s husband’s sister is my aunt. How is the woman related to the man? (a) Grand daughter (b) Daughter (c)Sister(d) Aunt • Sister
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Showing a lady in the park, . Sumit said, ‘She is the daughter of my grandfather’s only son’. How is Sumit related to that lady? (a) Father (b) Son Brother (d) Mother • Brother
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Puzzle • • • • •
(a) A x B means A is the brother of B. (b) A + B means A is the mother of B. (c) A ÷ B means A is the son of B. (d) A — B means A is the husband of B. Which of the following would mean M is the father of N: (a) M ÷ N +0 • (b) M x 0- N (c)M+0 ÷ N • (d)M-0+N www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Option D gives you correct answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Puzzle test…. • (1) In a family of six persons : A, B, C, D, E and F there are two married couples. • (2) D is grand mother of A and mother of B. • (3) C is the wife of B and mother of F. • (4) F is the grand daughter of E. What is C to A? www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Grandmother is D, Grand father is E • Grandson / grand daughter are A and F. • Thus C is mother of A. answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Proper course of action? • The exodus from villages, to cities is detrimental to both. • Courses of Action: • I. Rural postings must be made mandatory. • I!. There should be fewer trains linking cities to smaller places. • III. Employment generation scheme should be launched in rural areas. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Only III is the proper course of action.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Which information is sufficient to answer the question? • Has Smith ever won an award for literature? • A. Smith won the only award existed during his time • B. During smith’s time, writing was looked down upon let alone merit an award.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Both the statements are not sufficient to answer the question.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Which is an appropriate course of action? • Every year, at the beginning or at the end of the monsoons we have some cases of conjectivities, but this year,it seems to be a major epidemic witnessed after nearly four years. Courses of action: • I. Precautionary measures should be taken after four years to check this epidemic. • II. People should be advised to drink boiled water www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Both the course of actions are appropriate and should be immediately taken up.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Which is the most logical idea? • If an ant were as big as a horse, could it move mountains? • No. A giant ant . . . . . (select from a,b,c,d) • (a) Would be a structural failure. • (b) Would never be able to move mountains. • (c) Would be a mere curiosity. • (d) Would never be able to hunt for food. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • A giant Ant would not be able to move mountains because it is just a curoisity (we are not sure about what could it do). Other options are not logical – as logically we cannot say that it is structural failure or it cannot hunt for food or it cannot move mountains.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Puzzle test… • Nine cricket fans are watching a match in a stadium. Seated in one row, they are J, K, L, M, N, 0, P, Q and R. L is at the right of M and at third place at the right of N. K is at one end of the row. Q is immediately next to 0 and P. 0 is at the third place at the left of K. J is right next to left of 0. • Who is sitting in the centre of the row? • (a)L (b)O • (c)J (d)Q www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution … • NRMLJOPQK • J IS IN THE CENTRE
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A and B start walking in opposite directions. A covers 3 km and B covers 4 km. Then A turns right and walks 4 km while B turns left and walks 3 km. How far is each from the starting point? • A is 3 KM in one direction and 4 KM in right. Applying pythogorus, we find that A is 5 KM from the starting point. Similarly B is also 5 KM from the starting point. Ans. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Ram walks 10 m south from his house, turns left and walks 25 m, again turns left and walks 40 m, then turns right and. walks 5 m to reach to school. In which direction the school is from his house? • Draw a map and get the answer = northeast. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
In a class of 35 students Kiran is placed 7th from the bottom whereas Sohan is placed 9th from the top. Mohan is placed exactly in between the two. What is Kiran’s position from Mohan? • 10th • From 9th to the top and 7th to the bottom, we have 21 candidates (35-(6+8) ). Mohan is just in the centre. So from Mohan, Kiran is at 10th place. Answer. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A watch reads 4 If the minute hand points towards the East, in which direction does the hour hand point? • The hour hand is towards South West.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Puzzle • Goti and I started walking towards each other from two places lOO m apart. After walking 30m, Goti turns left and goes lO m, then he turns right and goes 20m then turns right again and comes back to the road and starts walking. If we walk with the same speed, what is the distance between us at this point of time www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • (Goti walks 70 meters in all), so I walk 70 meters towards Goti’s starting point and now I am 30 meters from that. Goti takes only 30+20 meters on the road. Thus Goti is 50 meters from my starting point. Thus there is a gap of 20 meters between me and Goti. Answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Sum of 1st to 30th terms of a series in arithmetic progèssion is 150. if the first term is A, what is 30th term of the series? • • • •
Sum = 30/2 (2a + (29)D) = 150 2a + 29d =150*2/30 = or 29 D = 10 – 2A 30th term = A + 29D 29 D = 10 – 2A, putting the value, we get the answer = 10 – A answer www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Question on number system • Convert 252 into binary system • 252 / 2 = 126 / 2 = 63/2 = 31/2 = 15/2 = 7/2 = 3/2 =1 (starting from last remainder to the first) • 11111100 answer. • Convert it again to decimal system: • 1*2^7+1*2^6+1*2^5+1*2^4+1*2^3+1*2^2+ 0*2^1+0*2^0 = 128+64+32+16+8+4 = 252 www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Multiply 12 to 13 ( note - both are octal numbers, your outcomes must also be in octal numbers)? • Let us first convert them into decimal numbers: 12= 1*8^1 + 2*8^0 =10 • 13 = 1*8^1 + 3*8^0 =11 • Now multiply 10 to 11 = 110 • Now convert it into octal number: • 110/8 = 13 / 8 • =156 •www.afterschoool.tk Test = now convert 156MATERIAL to decimal AFTERSCHO☺OL's FOR PGPSE PARTICIPANTS number
Convert 156 (octal) to decimal number ….. • 1*8^2 + 5*8^1 + 6*8^0 • =64+40+6 • =110 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Multiply 5 (base 16) to 12 (base 7) and get the outcome in binary? • • • •
(5*16^0 ) * (1*7^1 +2*7^0) 5 *9 = 45 45/2 = 22/2 = 11/2 = 5/2 =2/2 1 =101101 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
78.8% of a common medicine for stomach-upsets is absolute alcohol; 3.3% of it is mentha oil; 0.07% spear mint oil; and 0.177% chloroform. How much of each of these compounds is there in a pack of 30 ml? solution alchol = 23.6 ml, 1 ml of menthol oil and so. On. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the sum of cubes of the first 5 natural numbers? • • • •
Formula = [N (N+1)/2 ]^2 = [5*6 / 2 ]^2 =225 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the sum of squares of the first 13 natural numbers? • • • •
Formula =[n(n+1)(2n+1) ] /6 =(13*14*27)/6 =819 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
In a Class of 80 pupils, the number of boys is three-fifths the number of girls. Determine the number of girls in the class. • • • • •
Let the number of girls be X X + 3/5X = 80 8/5 X = 80 X = 80 *5/8 X = 50 (the number of girls is 50, boys are 30) answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
The difference between two numbers is 30. On dividing the greater by the smller the quotient is 3. Find the numbers. • • • •
Let the smaller number be X. 3X – X = 30 2X =30; X = 15, Thus 2 numbers are 15 and 45 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Gunpowder contains 75% nitre and 10% sulphur. The rest of it is charcoal. What is the amount of charcoal in 9 kg of gunpowder. • • • •
Charcoal is (100 – 75 – 10) = 15% 9 KG = 9000 Grams 9000*15/100 =1350 grams answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Question on profit • At what percentage alove the Cost price must an article be marked so as to gain 33% after allowing the customer a discount of 5%? • (a) 48% (b) 43% • (c) 40% (d) 38% • (e) None of the above www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution … • Let the cost be 100 • Final price being realised 133 • It is after discount, so price before discount (marked price) is : • 133*100/95 =140 , so 40 is the answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A vertical pole PO is standing at the centre 0 of a square ABCD. If AC subtends an angle 90° at point P of the pole then the angle subtended by a side of the square at Pis (a) 35° (b) 45° (c) 30° (d) 60° (e) None of the above www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • When diagonal (in a square) makes angle of 90 degree in a pyrimidical shape, then sides make angles of 60 degree. (rule). • So answer is 60 degrees.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Find the per cent of pure gold in 22 carat gold, if 24 carat gold is cent per cent pure gold. • 22/24 *100 • =91.67 % answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
In the diagram the two circles pass through each other’s centre. If the radius of each circle is 2, what is the perimeter of the region marked B?
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Permieter of one circle is 2/3 now because, it is being cut by other circle. • Thus 2/3 + 2/3 of perimeters added : • 2 * 2/3 * (formula of perimeter = 2pi *r) • =(8 * pi * r) /3 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is angle C?
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Angle O is double the angle A. Thus it is 100 degree. Thus C is (180 -100)/2 = 40 degrees answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is angle a?
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • • • • • • • •
Angles from D and C are equal . 180 – 60 – 37 – x =83 – x Let us sum up for two angles: (180+180 ) = 360 83-x + 83 – x + 180+2X = 360 2Y +2X = 180 let us assume Y = 53 2X = 72 or X = 36 answer (solve by options, so angle A = 53 ) answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
ABOUT AFTERSCHO☺OL Afterschoool conducts three year integrated PGPSE (after class 12th along with IAS / CA / CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /CMA / 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.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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 • To enable people to promote spirituality and positive thinking in the world www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
About AFTERSCHO☺OL 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 earn while you learn • The only absolutely free course on internet www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Workshops from AFTERSCHO☺OL • • • • • • • • •
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 Engineering College, Hyderabad
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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 (with CA / CS /CMA) Hospital management and Health care Hospitality sector and culture and heritage Other sectors of high growth, high technology and social relevance
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Salient features: • The only programme of its kind (in the whole world) • No publicity and low profile course • For those who want to achieve success in life – not just a degree • 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 • Latest and constantly changing curriculum – keeping pace with the time • Placement for those who are interested • Admissions open throughout the year • Latest and most advanced technologies, books and study material www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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 EsGotitial 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 Mind Power Training & writing workshop (by Dr. T.K.Jain)
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Pedagogy • • • • • • • • •
Case analysis, Articles from Harvard Business Review Quiz, seminars, workshops, games, Visits to entrepreneurs and industrial visits PreGotitations, 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 projects www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Branches • AFTERSCHO☺OL 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.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Basic values at AFTERSCHO☺OL • • • • • •
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 www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk social entrepreneurship for better society
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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