Set Theory

Question 1

If A = Ø, then the order of P(A) is

Answer 1

1

Question 2

If a class of 50 pupils, 17 choose cold drink, 42 choose hot drink and each pupil choose one of the drinks. How many pupils choose both the drinks?

Answer 2

9

Question 3

If A = {1,5}, B={2,4,6} and C={0,2,4,5,6}

Which of the following may be considered as universal sets for all the three sets A,B,C?

Answer 3

{0,1,2,3,4,5,6,7,8,9,10}

Question 4

If n(A) = 11 , n(B)=23 , n(AB)=30 then n(A u B) is

Answer 4

4

Question 5

If A and B are finite sets, AB is

Answer 5

(A-B) U (B-A)

Question 6

If n(A)=p, n(B)=q and A n B = Ø, then n(A u B) is?

Answer 6

p+q

Question 7

Which of the following operations is not commutative?

Answer 7

Difference of sets

Question 8

The set of rich people of the society is

Answer 8

Not a well-defined collection

Question 9

Which of the following is correct for (AuB) ’ ?

Answer 9

A’nB’

Question 10

If M and N are two sets, then M n (M u B)’

Answer 10

Ø

Question 11

If A={1,2,8} then the number of subsets of A is?

Answer 11

2 to the power three which is 8.

Question 12

If A,B,C be three sets such that A B = AC and AB = AC, then

Answer 12

B = C

Question 13

If AnB=A and AnB=B, then

Answer 13

A is a subset of B

Question 14

If A = {a,b}, then Power Set of A is

Answer 14

{Ø, {a,b}, {a}, {b}}

Question 15

The set {x; x is the prime number can be written as x <= 10}

Answer 15

{2,3,5,7}