Management Aptitude Test 4 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
www.afterschoool.tk
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
, Find the sum of all numbers that can be formed using all the digits 1, 2, 8, 9 and 5 without repetition. (1) 5555500 (2) 666600 - (3) 4.444400 (4) 6666600 (5) 3333300 - www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • • • •
(sum of all the numbers) * (n-1)! * 11111 = (1+2+8+9+5) *4!*11111 =25*24*11111 =6666600 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A certain number of students of a school have participated jet the chess .tournament .of their Annual Sports Meet. -. It was found that in 105 games both the players were girls and in 300 games both the players were boys. The. number of games in which one was a girl and another is a boy? (1) 500 - - (2)(3)375 (4) 210 5) 275 - - - www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • The number of girls = • (N * (N-1)) / 2 =105 • N * (N-1) = 210 • N = 15 (there are 15 girls) The number of boys: • (N * (N-1)) / 2 =300 • N * (N-1) = 600 • N = 25. thus number of boys is 25. • Number of games where one is boy and one is girl = 15 *25 = 375 www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
The sum of the1st 30 terms of an AP is 40, the sum of first 80 terms is also 40. Find the sum of 31st and 80th term? • • • • •
15 (2a + 29d) = 40 40 (2a +79d) = 40 2a +29d = 40/15 2a +79 d = 1 We have to add a+30d + a+79d = www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS 2a+109d
Solution • • • • • • •
15 (2a + 29d) = 40 (2a +79d) 2a+29 d =2.66 *(2a+29d) 2a +29d = 40/15 2a +79 d = 1 50D = -25/15 or D = -1/30 2a +2.6333 = 1 or 2a = 1.633 or A = .8165 We have to add a+30d + a+79d = 2a+109d = zero
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Tap A takes 4 hours to fill a tank. Tap B takes 6 hours to fill the tank. If bth the •taps were opened simultaneously, by the time the tank was full, what fraction of the tank was filled by tap A? • Ratio of opposites = 6:4 • A will fill 6/10 or 3/5 answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
P and Q can complete a job in 12 days working together. If P alone can complete it in 20 days, in. how many days can Q alone complete it? • • • •
1/12 – 1/20 = 8/ 240 =1/30 Or Q alone will do it in 30 days.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If the ratio of the individual times taken by P, Q and R to complete a job is 2 : 3 : 6, find the ratio of the parts of the jobs done by P, Q and R in an hour. (1) 2:3:6 (2) 6:3:2 . (3) 3:2:1 • In one hour, P will do ½, Q = 1/3 and R = 1/6 or 3:2:1 is the answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
X can complete a job in 30 days. Y can’ complete the job in 60’ Both work together along ‘with Z to complete the job in ‘10 days. Find the.share of Z in a total of Rs.6000 paid for the work. • • • •
1/30 +1/60 = 3/60 or 1/20 Z’s one day’s work = 1/10 – 1/20 = 1/20 Their shares are 1/30, 1/60, 1/20 or 2:1:3 Thus Z will get 3000 or (3/(2+1+3) * 6000)
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
An inlet pipe takes 8 hours to fill a tank. Another pipe takes 12 hours to empty it.- !f both pipes are opened simultaneously, in how many hours will the tank be filled? • 1/8 – 1/12 • 4/96 = 1/24 • Or in 24 hours the tank will be completely filled up. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If a man’ completes a job in 6 days working 6 hours a day, in how many days can he complete the job working 9 hours a day? • Total man hours required = 6*6 = 36 hours • Days required when working 9 hours a day • 36/9 = 4 days. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
There are 25 numbers in AP, the largest is 10 times the smallest. If the sum of these numbers is 1100, what is the smallest number? • • • • •
Largest number = A + 24D Smallest no. = A (A+24D) / A = 10 or A +24D = 10A 25/2(2A + 24D) = 1100 2A + 24D = 88 (we know that 24D = 9A)
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • 2A + 9A = 88 • 11A = 88 • A = 8 answer
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Find the numbers, whose AM is 20 and GM is 16? • • • • •
Let us assume the numbers are X and Y XY = 16*16 = 256 X + Y = 20+20 = 40 Let us do factorisation of 256. 2*2*2*2*2*2*2*2 which can give us 32 and 8, which meet our requirements. Thus numbers are 32 and 8 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Ram, Shyam and Tarun can complete a job in 4 days, 8 days and 16 day respectively They start ‘the work and Ram leaves after a day. The other two complete the job. T got Rs.24000 out of the total Rs.90000 paid to the’ three. As Ram was unwell, on the first day, he could not work at his usual capacity. Find ‘the percentage of, his usual capacity at which he worked on the first day. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Their ratio: • R = ¼, S = 1/8 and T = 1/16 • 1/8 + 1/16 gives = 3/16 (for the two). Their their remuneration should be in the ratio 2:1. thus S and T have got 24000*3/1 = 72000 as total reward. Ram got 18000. his share was : 18/90 or 1/5 thus
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Total time required by the two • 1/8 + 1/16 = 3/16 or 16/3 • They had done 36/90 work. Thus they have taken : 16/3 *36/90 • Ram’s one days work is ¼= .25 but he did only 1/5 = .2 • .2/.25 *100 = 80% thus R worked at 80% efficiency. Answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A can eat 3 apples in 5 days while B can eat. 6 apples in 4 days. In how many days can -the two persons consume 21-apples? (1) 7• (2) 8 (3) 5 4) 10 • B will eat 6 *5/4 = 7.5 apples in 5 days. Thus 10.5 apples will be consumed in 5 days. So answer is 10 days. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
The average runs by a batsman who has played 52 innings, was increased by one after an. innings of 126.’ Find the’ average runs of the batsman before this innings.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • • • • • •
Let us assume the earlier average was X His earlier runs were 52X. (52X + 126 ) / (53) = X+1 52X +126 = 53X + 53 -X = - 73 Or X = 73 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
The average- monthly income per person: -in a group of 5 members is Rs. 9000. Their income reduces by 900 per person (due to subprime crisis of the USA). Now what is their average income per person in that month (1) 6300 (2) 720O (3) 8100 (4) 5400 www.afterschoool.tk
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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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
www.afterschoool.tk
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
, Find the sum of all numbers that can be formed using all the digits 1, 2, 8, 9 and 5 without repetition. (1) 5555500 (2) 666600 - (3) 4.444400 (4) 6666600 (5) 3333300 - www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • • • •
(sum of all the numbers) * (n-1)! * 11111 = (1+2+8+9+5) *4!*11111 =25*24*11111 =6666600 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A certain number of students of a school have participated jet the chess .tournament .of their Annual Sports Meet. -. It was found that in 105 games both the players were girls and in 300 games both the players were boys. The. number of games in which one was a girl and another is a boy? (1) 500 - - (2)(3)375 (4) 210 5) 275 - - - www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • The number of girls = • (N * (N-1)) / 2 =105 • N * (N-1) = 210 • N = 15 (there are 15 girls) The number of boys: • (N * (N-1)) / 2 =300 • N * (N-1) = 600 • N = 25. thus number of boys is 25. • Number of games where one is boy and one is girl = 15 *25 = 375 www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
The sum of the1st 30 terms of an AP is 40, the sum of first 80 terms is also 40. Find the sum of 31st and 80th term? • • • • •
15 (2a + 29d) = 40 40 (2a +79d) = 40 2a +29d = 40/15 2a +79 d = 1 We have to add a+30d + a+79d = www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS 2a+109d
Solution • • • • • • •
15 (2a + 29d) = 40 (2a +79d) 2a+29 d =2.66 *(2a+29d) 2a +29d = 40/15 2a +79 d = 1 50D = -25/15 or D = -1/30 2a +2.6333 = 1 or 2a = 1.633 or A = .8165 We have to add a+30d + a+79d = 2a+109d = zero
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Tap A takes 4 hours to fill a tank. Tap B takes 6 hours to fill the tank. If bth the •taps were opened simultaneously, by the time the tank was full, what fraction of the tank was filled by tap A? • Ratio of opposites = 6:4 • A will fill 6/10 or 3/5 answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
P and Q can complete a job in 12 days working together. If P alone can complete it in 20 days, in. how many days can Q alone complete it? • • • •
1/12 – 1/20 = 8/ 240 =1/30 Or Q alone will do it in 30 days.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If the ratio of the individual times taken by P, Q and R to complete a job is 2 : 3 : 6, find the ratio of the parts of the jobs done by P, Q and R in an hour. (1) 2:3:6 (2) 6:3:2 . (3) 3:2:1 • In one hour, P will do ½, Q = 1/3 and R = 1/6 or 3:2:1 is the answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
X can complete a job in 30 days. Y can’ complete the job in 60’ Both work together along ‘with Z to complete the job in ‘10 days. Find the.share of Z in a total of Rs.6000 paid for the work. • • • •
1/30 +1/60 = 3/60 or 1/20 Z’s one day’s work = 1/10 – 1/20 = 1/20 Their shares are 1/30, 1/60, 1/20 or 2:1:3 Thus Z will get 3000 or (3/(2+1+3) * 6000)
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
An inlet pipe takes 8 hours to fill a tank. Another pipe takes 12 hours to empty it.- !f both pipes are opened simultaneously, in how many hours will the tank be filled? • 1/8 – 1/12 • 4/96 = 1/24 • Or in 24 hours the tank will be completely filled up. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If a man’ completes a job in 6 days working 6 hours a day, in how many days can he complete the job working 9 hours a day? • Total man hours required = 6*6 = 36 hours • Days required when working 9 hours a day • 36/9 = 4 days. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
There are 25 numbers in AP, the largest is 10 times the smallest. If the sum of these numbers is 1100, what is the smallest number? • • • • •
Largest number = A + 24D Smallest no. = A (A+24D) / A = 10 or A +24D = 10A 25/2(2A + 24D) = 1100 2A + 24D = 88 (we know that 24D = 9A)
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • 2A + 9A = 88 • 11A = 88 • A = 8 answer
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Find the numbers, whose AM is 20 and GM is 16? • • • • •
Let us assume the numbers are X and Y XY = 16*16 = 256 X + Y = 20+20 = 40 Let us do factorisation of 256. 2*2*2*2*2*2*2*2 which can give us 32 and 8, which meet our requirements. Thus numbers are 32 and 8 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Ram, Shyam and Tarun can complete a job in 4 days, 8 days and 16 day respectively They start ‘the work and Ram leaves after a day. The other two complete the job. T got Rs.24000 out of the total Rs.90000 paid to the’ three. As Ram was unwell, on the first day, he could not work at his usual capacity. Find ‘the percentage of, his usual capacity at which he worked on the first day. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Their ratio: • R = ¼, S = 1/8 and T = 1/16 • 1/8 + 1/16 gives = 3/16 (for the two). Their their remuneration should be in the ratio 2:1. thus S and T have got 24000*3/1 = 72000 as total reward. Ram got 18000. his share was : 18/90 or 1/5 thus
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • Total time required by the two • 1/8 + 1/16 = 3/16 or 16/3 • They had done 36/90 work. Thus they have taken : 16/3 *36/90 • Ram’s one days work is ¼= .25 but he did only 1/5 = .2 • .2/.25 *100 = 80% thus R worked at 80% efficiency. Answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A can eat 3 apples in 5 days while B can eat. 6 apples in 4 days. In how many days can -the two persons consume 21-apples? (1) 7• (2) 8 (3) 5 4) 10 • B will eat 6 *5/4 = 7.5 apples in 5 days. Thus 10.5 apples will be consumed in 5 days. So answer is 10 days. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
The average runs by a batsman who has played 52 innings, was increased by one after an. innings of 126.’ Find the’ average runs of the batsman before this innings.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution • • • • • •
Let us assume the earlier average was X His earlier runs were 52X. (52X + 126 ) / (53) = X+1 52X +126 = 53X + 53 -X = - 73 Or X = 73 answer.
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AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
The average- monthly income per person: -in a group of 5 members is Rs. 9000. Their income reduces by 900 per person (due to subprime crisis of the USA). Now what is their average income per person in that month (1) 6300 (2) 720O (3) 8100 (4) 5400 www.afterschoool.tk
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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