Quantitative Aptitude Quiz on Set Theory for MBA Entrance Exams: 11th Dec, 2017 for CAT & MBA Exams

Question 1

Questions: Use the following information
Eighty five people went to a lottery shop where they could bet on the DhanLaksmi, Rajshri, and Gauri lotteries. It was known that 20 of them took all three bets, and 55 of them took at least two of the three bets. Each bet cost Re. 1, and the total receipt of the lottery shop was Rs. 145.

How many people did not try any of the bets?

Question 2

Let S be the set of all pair (i, j) where 1 ≤ I ≤ j< n and n≥4. Any two distinct members of S are called “friends” if they have one constituent of the pairs in common and “enemies” otherwise. For example, if n = 4, then S = {(1,2), (1,3), (1,4), (2,3), (2,4), (3,4),}. Here, (1,2) and (1,3) are friends, (1,2) and (2,3) are also friends, but (1,4) and (2,3) are enemies.

For general n, how many enemies will each member of S have?

Question 3

Let S be the set of all pair (i, j) where 1 ≤ I ≤ j< n and n≥4. Any two distinct members of S are called “friends” if they have one constituent of the pairs in common and “enemies” otherwise. For example, if n = 4, then S = {(1,2), (1,3), (1,4), (2,3), (2,4), (3,4),}. Here, (1,2) and (1,3) are friends, (1,2) and (2,3) are also friends, but (1,4) and (2,3) are enemies.

For general n, consider any two members of S that are friends. How many other members of S will be common friends of both these members?

Question 4

A survey was conducted of 100 to find out whether they had read recent issues of Golmal, a monthly magazine. The summarized information regarding readership in 3 months is given below.
Only September : 18;
September but not August : 23
September and July : 8;
September : 28;
July : 48
July and August :10;
None of the three months : 24
What is the number of surveyed people who have read exactly two consecutive issues (out of the three)?