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?
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?
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.
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.
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.
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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