1. Two finite sets have M and N elements. The total number of subsets of the first set is 56 morethan the total number of subsets of the second set. The values of M and N are respectively.

2. If the number of elements in a set S are 5. Then the number of elements of the power set P(S) are?

3. A survey shows that 63% of the americans like cheese whereas 76% like apples. If X% of the americans like both cheese and apples, then we have

4. If A, B and C are any three sets, then A – (B ∪ C) is equal to

5. In last quadrant?

6. If x ≠ 1, and f(x) = x + 1 / x – 1 is a real function, then f(f(f(2))) is

7. If A, B and C are any three sets, then A × (B ∪ C) is equal to

8. Let R be a relation N define by x + 2y = 8. The domain of R is

9. If the set A has P elements, B has q elememts then number of elements in A × B is

10. If A and B are two sets containing respectively M and N distinct elements. How many different relations can be defined for A and B?

11. IF A = [5, 6, 7] and B = [7, 8, 9] then A ∪ B is equal to

12. (A’)’ = ?

13. A – B is read as?

14. In a class of 50 students, 10 did not opt for math, 15 did not opt for science and 2 did not opt for either. How many students of the class opted for both math and science.

15. Let R= {(x, y) : x, y belong to N, 2x + y = 41}. The range is of the relation R is

16. Which of the following two sets are equal?

17. Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of containing all determinants with value 1. Let C be the subset of containing all determinants with value -1 then

18. Empty set is a?

19. The smallest set a such that A ∪ {1, 2} = {1, 2, 3, 5, 9} is

20. If f(x) = log [(1 + x)/(1 – x), then f(2x )/(1 + x²) is equal to