Quantitative Reasoning Set Theory Online Test 2

1. The set (A U B U C) ∩ (A ∩ B' ∩ C')∩ C' is equal to

2. A survey of 200 Indians show that 140 like apples whereas 120 like cheese. Let n be the number of persons who like both apple and cheese. Then the value of n is?

3. If A,B are not empty sets then n(A×B)=

4. If A={x:x=3ⁿ, n≤6, n∈ N} and

B={x:x=9ⁿ, n≤4, n∈N}, then which of the following is false?

5. In a college of 300 students, every students reads 5 newspapers and every newspaper is ready by 60 students. Then number of newspapers is?

6. If X and Y are two sets, then (X∼Y) U (Y∼X)=

7. In a town of 10,000 families , it was found 40% families buy newspaper A,20% buy newspaper B and 10% buy newspaper C. 5% of the families buy A and B, 3% buy B and C, 4% buy A and C. If 2% of the families buy all the three newspapers then the number of families which buy none of the newspapers A,B and C is?

8. If A= {1,2,3}, B={3,4}, C=4,5,6}, then (A×B) ∩ (B×C) is equal to

9. If A={1,2,4}, B={2,4,5}, C=(2,5}, then (A-C) × (B-C) is equal to

10. Let X be the universal set for sets A and B.If n(A)=200, n(B)=300 and n(A ∩ B)=100, then n(A' ∩ B') is equal to 300 provided n(X) is equal to

11. Let U =R. If A ={x ∈ R : 0 <x<2},

B={x ∈ R :1<x ≤ 3}, then which of the following is false?