Mark the correct alternative in the following:

An investigator interviewed 100 students to determine the performance of three drinks: milk, coffee and tea. The investigator reporter that 10 students take all three drinks milk, coffee and tea; 20 students take milk coffee; 25 students take milk and tea; 20 students take coffee and tea; 12 students take milk only; 5 students take coffee only and 8 students take tea only. Then the number of students who did not take any of three drinks is

A. 10

B. 20

C. 25

D. 30

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?