QUANTITATIVE APTITUDE FOR BUSINESS MANAGEMENT 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
QUANTITATIVE APTITUDE FOR BUSINESS MANAGEMENT Dr. T.K. Jain. AFTERSCHO☺OL Centre for social entrepreneurship Bikaner M: 9414430763 [email_address] www.afterschool.tk , www.afterschoool.tk
WHAT IS THE PROBABILITY THAT WE WILL GET A 6 WHEN WE THROW A DICE?
WHAT IS THE PROBABILITY OF GETTING A TOTAL OF 10 OR MORE WHEN I THROW 2 DICE?
The total possibilities are : 6*6 = 36
Possibilities when total is 10:
6+4, 5+5, 4+6
For 11: 6+5, 5+6,
For 12: 6+6. Thus we have 6 possibilities.
6/36 = 1/6 answer.
There are 10 prizes and 25 blanks in a lottery, what is the probability of getting prize?
= 2/7 answer.
Rectangle =females, Triangle = educated, Circle = urban, Square =Civil Servants, what is the number of uneducated male civil servants?
Each of Goti and Hari has a peculiar habit in making statements. goti lies on Mondays, Tues days and Wednesday but speaks the truth on the other days of the week, whereas Hari lies on Thursday, Friday and Saturdays but speaks the truth on the other days of the week. Monu is a common friend of Goti and Hari. Today, Monu wanted to find out what day of the week it is and he got the following responses from his friends to his query. Goti Yesterday was one of my lying days. Hari : Yesterday was one of my lying days. What day of the week is today?
Solution . . .
Today is Thursday – then Hari has to lie today and so Hari would speak that yesterday was my lying day.
Goti has to speak tructh that “yesterday was my lying day”
Thus it is Thursday.
Log sqrt(8) X = 10/3, what is X?
X = (8)^1/2 ^10/3
X = 2^3/2 ^10/3
X = 2^5
X = 32 answer.
Which of the following health drinks would be needed in least quantity to obtain its mixture with 15 liters of F such that, its lime water and vitamin percentage is less than 50 and greater than 40 respectively?
Solution .. .
In the first option, we mix up B. B contains 3 liters of lime water and F has 15 liters of lime water, thus their combined share is 15 liters out of 25 liters. However, we need only less than 50% mixture as lime water. Thus we can do with only 1 liters of B. which will give us .3 liters of lime water. Ans.
DATA SUFFICIENCY QUESTION
A box containing only 50 paise coins and 25 paise coins has a total sum of Rs. 20. What is the number of each of these coins?
I. The total number of coins is 50.
II. If there were 10 more 50 paise coins, the sum will in crease by 25%
SOLUTION . . .
You can find the answer from the first statement alone. As we can see that if we assume the number of coins to be X and Y. we can frame two equations:
X + Y = 50
.5X + .25Y = 20
Solving these we get: .5y = 10 or Y = 20 and X = 30. The 2 nd statement is not required in the process.
Data Sufficiency question
Tom pluck apples. He sells some of the apples, distirbutes some of them among his friends, eats some and takes the rest home. How many apples did Tom eat?
I. He distributes 6 apples among his friends, which comes to be 3/5 th of what he has eaten and sold.
II. He eats l/3 of the plucked apples, which is 12 less than what he has plucked.
Solution . . .
From the second statement we can prepare an equation:
1x -1/3x =12
2/3 X = 12
X = 12*3/2
X = 18
That means he had plucked 18 apples. Thus answer can be obtained from 2 nd statement alone.
DATA SUFFICIENCY QUESTION
What is the value of X?
I. X and Y are unequal even integers less than 10, and X/Y is an odd integer.
II. X and Y are even integers, each less than 10, product of X andYis 12.
Only first statement is sufficient to answer the question. There is only one such possibility that is 6 and 2 thus 1 st statement alone gives the answer.
Similarly answer can be obtained from second statement also. Because only one such possibility is there 6*2 = 12 answer.
16 log 4 5 ?
=4^2 log 4 5
=4 log 4 5^2
=1 * 5^2
Solve the following
If the quater of the sphere is divided into two equal halves then
the ratio of surface area of each part with the surface area of
sphere will be.
5 : 16
Solution . .
Total surface area = 4 pi * r^2
Let us assume the r = 7
=4*22/7 * 7*7
Now we will multiply it with 1/8
Thus ratio is 1:8
FIND THE PROBABILITY THAT A 4 DIGIT NUMBER MADE FROM 2,5,6,7 IS DIVISIBLE BY 4?
Any number is divisible by 4 only if the last 2 digits are divisible by 4. If the last 2 digits are 56, 76, 72,52 then the number will be divisible by 4. Keeping these as last 2 digits, we can make 2 numbers from each of these. Thus we have 8 possibilities.
The total number of possibilities are 4! = 24. Thus required probability is 8/24 or 1/3.
A committee has to be formed of 7 members from 8 boys and 5 girls. What is the probability that the committee will have 2 girls?
13C7 gives total possibilities:
13!/(7! * 6!) = 13*12*11*10*9*8/6*5*4*3*2*1 =1716
Selecting 2 girls means:
8C5*5c2 = 8!/(5!*3!) * 5!/(3!*2!) = 560
=560/1716 = .326
A dice is rolled twice, what is the probability that you get a difference of 2 points?
6^2 =36 are total possibilities
Difference of 2: (6,4), (5,3) (4,2) (3,1) (1,3),(2,4), (3,5), (4,6)
Thus there are 8 possibilities
8/36 = 2/9 answer.
For 2 events A and B, P(b) is .3 and P (A but not b) =.4 P (not A) =.6, what are A & B?
Total of P(A) and P (B) is .7, that means they are not exhaustive (if they had been exhaustive, their total should have been 1).
P(notA) and P(A but not b) together are 1 that means there is no common area between A & B. Thus these are mutually exclusive events.
30%, 40%, 50% failed in Accounts, Maths and at least one of these 2 papers
What is P(AUB), if P(A) = ½, P(B) = 2/3 and P( Ā UB) =5/6
A + B = ½ + 2/3 = 7/6
From this we have to deduct the common area of A & B.
Let us add P( Ā UB) =5/6 + P(A) =1/2
This is = 8/6 thus 8/6 -1 = 2/6=1/3
1/3 is intersection of A &B.
7/6 -1/3 = 5/6 is the answer.
7^ (2n+2) -48n -49 must be divisible by ?
Let us try for n =0, 1, 2, 3 and find the answer:
49 – 49 = 0
N = 1
2401 – 48 – 49 = 2304
N = 2:
117649 -96 – 49 = 117504
Thus 2304 is the answer.
41,31,23,17,11. . ?
Answer: We have prime numbers at interval of one. Thus next prime number is 5 ans.
2,9,28,65,126 . . ?
1^3+1 = 2
2^3 +1 = 9
3^3 +1 = 28
4^3 +1 = 65
5^3 +1 = 126
6^3 +1 = 217 answer.
What is the slope of the line: A (-3,5) and B(4,2) is ?
Slope = (Y2 – Y1) / (X2 – X1)
= (2-5) / (4-(-3))
ABC is a triangle with A (7,-3), B (3,-1), C (5,3), then what is the length of the median AD?
D is mid point between B and C. Mid point of B and c is:
8/2 = 4 and 2/2 = 1 thus we have to find distance from A to (4,1)
Thus distance is sqrt ((7-4)^2 + (-3-1)^2)
Thus answer is 5.
Three circles of radius 3 CM each are tangent to each other. Find the area between them (surrounded by these circles, but don’t include the area of circles) ?
Find the area of equilateral triangle joining the 3 circles: (1.732/4 *6*6) =15.58
Find the area of half circle : ½*22/7*3*3
Thus the area is : 1.44 ans.
Two circles touch each other externally, the sum of their areas is 130 pi. Distance between their centres is 14. What is the radii of these circles?
Let us assume one radius is r and other (14-r)
Pi*r^2 +pi* (14-r)^2 = 130 pi
R^2 +196 -28r +r^2 = 130
2R^2 -28R + 66 = 0 or R = solve it: 11 or 3 answer.
What is the ratio of revenue of Telecom & health care to that of e-business?
In the previous question, what is the ratio of revenue of Telecom & health care to that of education?
6: 55 answer.
For how many countries, the figures are less than average in 2000 and 2004?
5 in each.
Mixture of 40 liters of milk and water contains 10% water. How much water should be added to make water 20%?
Water is 4 and milk is 36 now 36 is 80 %
36*100/80 = 45
Thus 5 liters water should be added.
Data sufficiency question
Both the statements are required together and then we can find that Y = 75 degrees.
Afterschoool conducts three year integrated PGPSE (after class 12 th along with IAS / CA / CS ) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /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.
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
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.
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
Workshops from AFTERSCHO☺OL
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
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
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
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)
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
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.
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.
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 social entrepreneurship for better society