management aptitude test 24 october ii
TRANSCRIPT
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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☺OLCentre for social entrepreneurship
Bikaner M: 9414430763
www.afterschool.tk, www.afterschoool.tk
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Hulash has to distribute 66 gulabj amun, 121 Rasgullah & and 143 laddoos among his friends. He
wants each friend to get an equal number of items of one type only, and he is looking for the maximum
items that can be given to each friend. How many friends does he
have?
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution
• Let us find the HCF of 66, 121 and 143 – this gives us 11. Thus Hulash can give 11 pieces of a sweet to any of his friend. Suppose he gives 11 ladoos to Rajesh, he may give 11 Gulabjamun to BM and so on. Thus let us find his total friends:
• 66/11 + 121/11 + 143/11 = 30 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
3 bicycles are fitted with wheels that can make 6,5 and 10 revolutions per minute respectively. One spoke on
each wheel is painted blue. All three bicycles start moving at the same time, and the spoke of the wheels
painted blue is in the same position for all 3 bicycles. After how much time will all the three wheels be
aligned In the same manner as they were at the start?
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution
• Let us find the time of each spoke in completing one revolution
• 1st spoke 60 / 6 = 10 seconds• 2nd spoke 60/5 = 12 seconds
• 3nd spoke 60/10 = 6 seconds
• Now find LCM of 10,12, 6 seconds. LCM is 60 answer = 1minute.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A and B working separately can do a piece of work in 9 and 12 days
respectively. If they work for a day alternately, A beginning, in how
many days, the work will be completed?
• 5/9 + 5/12 = 105/108. Thus after 10 days the work left is 3/108,which will be done by A. 9 *3/108 is equal to ¼.
• Thus total days are 10 +1/4 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A committee consists of 9 experts taken from three institutions A, B
and C, of which 2 are from A, 3 from B and 4 from C. If three experts
resign, then the probability that they belong to different institutions is
(1) 1/729(2) 1/24(3) 1/21(4) 2/7
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution
• (2*3*4) / 9C3
• =24 / 84
• =2/7 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
These graphs show data for 2 years. If total profit is 100 in each case , what is the change in retaining
earnings ?
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution
• Solve by observation = 7
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the percentage equivalent of 1/3?
• 33.33%
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the fractional equivalent of 6.66%?
• 1/15 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
There are 20 angles in a regular polygon, what is its exterior angle? • = 360/20 = 18 answer
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
In which year expenditure are maximum in terms of % of sales?
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution
• 1997 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
There is a hexagon, how many diagonals does it have?
• Formula = [(n * (n-1) / 2 ] - n
• = 15 – 6 = 9 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
There is a diameter AB in a circle, there is an angle ACB on circle.
What is its measure?
• 90 degrees (semicircle gives right angle).
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the difference in the rate (per KG) of Basmati rice & Non
Basmati rice in 99-2000?
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution
• Basmati rice costs 23.87 and non-basmati rice costs 9. 67, so the difference is approximately 14.20 rupees per KG. Answer.
9.67897480319251988847
37174540699
Rice
Non-Basmati
1684
23.856585221248523126
851373314
Basmati rice
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
BM replaced some cooking oil containing 88% polyunsaturated fat
with cooking oil containing 72% polyunsaturated fat. The cooking oil now has 76% polyunsaturated fat. What fraction of the cooking oil isthe oil with lower polyunsaturated
fat content?
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution
• Thus the ratio of higher and lower one is 1: 3 that means fraction is :
• 3 / (1+3) • = ¾ answer.
88
4 12
72
Mixture
76
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Question on reasoning • Coach John sat with the score cards of Indian players
from the 3 games in a one-day cricket tournament where the same set of players played for India and all the major batsmen got out. John summarized the batting performance through three diagrams, one for each games. In each diagram, the three outer triangles communicate the number of runs scored by the three top scores from India, where K, R, S, V, and Y represent Kaif, Rahul, Saurav, Virender, and Yuvraj respectively. The middle triangle in each diagram denotes the percentage of total score that was scored by the top three Indian scorers in that game. No two players score the same number of runs in the same game. John also calculated two batting indices for each player based on his scores in the tournaments; the R-index of a batsman is the difference between his highest and lowest scores in the 3 games while the M-index is the middle number, if his scores are arranged in a non-increasing order.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
The diagram
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Which of the players had the best M-index from the tournament?
1. Rahul 2. Saurav 3. Virender 4. Yuvraj
• Solution
• Sourav
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Among the players mentioned, who can have the lowest R-index from
the tournament?1. Only Kaif, Rahul or Yuvraj 2.
Only Kaif or Rahul3. Only Kaif or Yuvraj 4. Only Kaif
• Only Kaif (his score can go up to 1)
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
For how many Indian players is it possible to calculate the exact M-
index?
• Only for Sourav and Rahul, we can calculate the M index. We are not sure about Yuvraj and Kaif. We cant calculate for Virendra.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Puzzle
• The year was 2006. All six teams in Pool A of World Cup hockey, play each other exactly once. Each win earns a team three points, a draw earns one point and a loss earns zero points. The two teams with the highest points qualify for the semifinals. In case of a tie, the team with the highest goal difference (Goal For – Goals Against) qualifies. In the opening match, Spain lost to GermanyIn the third round, Spain played Pakistan, Argentina played Germany, and New Zealand played South Africa. All the third round matches were drawn.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Continued
• The following are some results from the
• fourth and fifth round matches
• (a) Spain won both the fourth and fifth round matches.
• (b) Both Argentina and Germany won their fifth round matches by 3 goals to 0.
• (c) Pakistan won both the fourth and fifth round matches by 1 goal to 0.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Score after 2nd round
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Which team finished at the top of the pool after five rounds of
matches?1. Argentina2. Germany
3. Spain4. Cannot be determined
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution
• Answer = cannot be determined = as - It is clear that after 5 rounds, all the teams have equal scores. However, there could be difference in their goals, so the winner will be on the basis of goal difference. However, Germany, Pakistan have equal goal difference. We don’t have information about the match between spain and Argentina (which was in 4th round). We know that Spain had won the match, however, if Spain won by 1-0, all teams are equal, if spain won by 2-0, then Spain will be the winner. Answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
• Raman, the great mathematician, called on Madan after many years. He enquired about his family. Madan said, “I have three sons. Their names are J, K and L. J is the eldest. L is the youngest. No twins. The product of the ages is 1400. L is at least 2-years-old. None of them is more than 45 years. The sum of their ages is equal to the age of my neighbour E. But even if I tell you E’s age, you will not be able to arrive at my sons ages (despite your mathematical prowess). So I shall not tell you E’s age. But L is younger than my neighbour’s daughter P. If I tell you the age of P, you will be able to deduce the ages of all my sons. I shall not tell you anything further.” Raman was able to deduce the ages of all !!!
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
J’s age is
• a. 25 years b. 28 years c. 35 years d. 20 years
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
K’s age is
• a. 8 years b. 10 years c. 15 years d. 14 years
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
L’s age is
• a. 7 years b. 2 years c. 5 years d. 4 years
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
E’s age is
• a. 48 years b. 37 years c. 43 years d. 39 years
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
P’s age is
• a. 5 years b. 6 years c. 3 years d. 8 years
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution
• J = 35 year
• K = 8 years
• L = 5 years• E = 48 years
• P = 6 years.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A sample of 10 litres of mixture of lead ore of silver and lead is found to have 20% lead. how much pure
silver should be added to bring down the percentage of lead
to 10%.
• Lead is 2 liters. This will be 10%, so new mixture must be 20 liters. So 10 liters of silver should be added.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A trader allows a discount of 5% for cash payment. How much per cent
above thecost price must he mark his goods
to make a profit of 14%?• Let us assume cost = 100
• Final price received (100+14) = 114.
• Printed price = 114 *100/95 = 120 , so he should keep 20% above the cost. Answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
70% of the students in a school are boys and the number of girls is 252.
Find the number of boys in the school.
• 252*70/30 = 588 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
In how many ways can we form 3 digit numbers from 3,4,5,6, which is
greater than 500?
• For the first digit, we have only 2 options,
• For 2nd digit, we have 3 options, for third digit we have 2 options.
• 2*3*2 = 12 answer. We can list down these also: 534,543,546,564,536,563,634,643,635,653,645,654 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the sum of squares of the first 10 natural numbers?
• Sum = n(n+1) (2N+1) / 6
• =10(10+1) (2*10 +1) / 6
• =(10*11*21) / 6• =385 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
The compound interest on Rs. 2000 for 3 years is Rs. 315.25. The
rateof interest is
(a) 3% (b) 4% (c) 5% (d) 6%
• 2000* (1+rate)^3 = 2315.25
• (1+r)^3 = 2315.25 / 2000• (1+r)^3 = 1.1576
• 1+r = 1.05
• Thus R = 5% answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Two trains of lengths 120 m and 80 m are running in the same direction with velocities of 40 kmph and 50 kmph respectively. The time taken
by them to cross each other, is(a) 60 sec (b) 72 sec (c) 75 sec
(6) 80 sec• Add the lengths = 200 M. • Difference of speed = 50 – 40 = 10 KM ph• In m.p.s. = (10 * 5/18) = 50/18
• 200/(50/18) = 72 seconds
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Two trains of lengths 120 m and 80 m are running in the opposite direction
with velocities of 40 kmph and 50 kmph respectively. The time taken by them to
cross each other, is(a) 6 sec (b) 7 sec (c) 7.5 sec (6) 8
sec• Add the lengths = 200 M & speeds= 90• In m.p.s. = (90 * 5/18) = 25• 200/25 = 8 seconds
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is A∩B, if A ={1,2,3,4} & B = {4,5,6,7} ?
• A∩B = {4} answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is AUB, if A ={1,2,3,4} & B = {4,5,6,7} ?
• AUB = {1,2,3,4,5,6,7} answer
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A and B working separately can do a piece of work in 9 and 12 days
respectively. If they work for a day alternately, A beginning, in how
many days, the work will be completed?
• 1/9 + 1/12 = 21/108 or 108/21 = 5+ thus they must work for 5 days at least (each 5 day = ABABABABAB = 10 day)
• 5/9 + 5/12 = 105/108. remaining work = 1-105/108 =3/108 – which will be done by A. thus 3/108 is left out. 3/108 *9 = 1/4. thus the work is completed in 10 +1/4 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
The difference between simple and compound interest compounded yearly at the rate of 4% in a two
year period on a certain amount of money is Re. 1. The amount of
money is(a) Rs. 450 (b) Rs. 575 (c) Rs. 600
(d) Rs. 625• Interest of the first year = 1 * 100/4 = 25
• Principal = 25 *100/4 = 625 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If x men working x hours a day can do x units of a work in x days, then y men working y hours per day in y
days would be able to complete, how many units of work?
• Let us start with X units.
• X * Y/x * Y/X * Y/X = Y^3 / X^2 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Population of a country is 100 crores in 2000, at growth rate of 2% what will be the population in 2020?
• 100 * (1.02)^20
• =148.6 crores approx.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Toffees are bought at the rate of 8 for a rupee. To gain 60%, they must
be sold at:(a) 6 for a rupee (b) 5 for a
rupee (c) 9 for two rupees(d) 24 for five rupees
Now we have 8 toffees for 100 paise. Les us add 60% in cost 160 paise for 8 toffees. Thus one toffee is of 20 paise. So (b) is the answer.
www.afterschoool.tk 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.
www.afterschoool.tk 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.
www.afterschoool.tk 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
www.afterschoool.tk 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
www.afterschoool.tk 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 • Essential softwares for business• Business plan, Research projects• Participation in conferences / seminars• Workshops on leadership, team building etc. • Written submissions of research projects/articles / papers• Interview of entrepreneurs, writing biographies of entrepreneurs• Editing of journals / newsletters• Consultancy / research projects • Assignments, communication skill workshops• Participation in conferences and seminars• Group discussions, mock interviews, self development diaryng • Mind Power Training & writing workshop (by Dr. T.K.Jain)
www.afterschoool.tk 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• Presentations, Latest audio-visuals• Group discussions and group projects• Periodic self assessment• Mentoring and counselling• Study exchange programme (with institutions out of
India)• Rural development / Social welfare 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.
www.afterschoool.tk 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.
www.afterschoool.tk 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