Let A and B be two sets such that n(A) = 5, n(B) = 3 and n(A ∩ B) = 2.

(i) n(A ∪ B)

(ii) n(A × B)

(iii) n(A × B) ∩ (B × A)

Mark the correct alternative in the following:

If A and B are two disjoint sets, then n is equal to

Mark the correct alternative in the following:

Suppose A₁, A₂,...,A₃₀ are thirty sets each having 5 elements and B₁, B₂,...,B_n are n sets each with 3 elements, let and each element of S belongs to exactly 10 of the and exactly 9 of the , then n is equal to

If A and B are two sets such that n(A) = 20, n(B) = 25 and n= 40, then write n.

If A and B are two sets such that n(A) = 115, n(B) = 326, n (A − B) = 47, then write .

A survey shows that 76% of the Indians like oranges, whereas 62% like bananas. What percentage of the Indians like both oranges and bananas?

If A = {x : x ϵ N, x ≤ 7}, B = {x : x is prime, x < 8} and C = {x : x ϵ N, x is odd and x < 10}, verify that:

(i) A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)

(ii) A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

Mark the correct alternative in the following:

Let be the universal set containing 700 elements. If A, B are sub-sets of such that n (A) = 200, n (B) = 300 and n=100. Then, n=

In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many like both coffee and tea?

If P and Q are two sets such that P has 40 elements, P ∪ Q has 60 elements and P ∩ Q has 10 elements, how many elements does Q have?