Discrete Mathematics Mock Test

1. A _______ is an ordered collection of objects.

2. Among the integers 1 to 300, the number of integers which are divisible by 3 or 5 is

3. If p ?q is F, then

4. Which of the following is declarative statement?

5. If A = { (1, 2, 3}, then the relation R = {(2, 3)} in A is

6. The bit strings for the sets are 1111100000 and 1010101010. The union of these sets is ____________.

7. The intersection of the sets {1, 2, 5} and {1, 2, 6} is the set ___________.

8. he set of positive integers is _________ .

9. Let X be a family of sets and R be a relation in X, defined by A is disjoint from B. Then, R is

10. If (~ (p ? q)) ? q is F, then

11. Which of the proposition is p ^ (~p v q) is

12. If (~ p ? r) ^ (p ? q) is T and r is F, then truth values of p and q are:

13. If p ^ q is T, then

14. Two sets are called disjoint if there _____________ is the empty set.

15. If ((p ? q ) ? q) ? p is F, then

16. The set difference of the set A with null set is ________.

17. R is a relation defined in Z by aRb if and only if ab ³ 0, then R is

18. Let P: I am in Bangalore.; Q: I love cricket.; then q -> p(q implies p) is?

19. The premises (p ? q) ? r and r ? s imply which of the conclusion?

20. Let P (x) denote the statement x >7. Which of these have truth value true?

21. In proving v5 as irrational, we begin with assumption v5 is rational in which type of proof?

22. Parul is out for a trip or it is not snowing and It is snowing or Raju is playing chess imply that

23. Let R be the set of real numbers. If f : R ? R is a function defined by f ( x ) = x2 , then f is]

24. A proof covering all the possible cases, such type of proofs are known as

25. Translate ?x?y(x < y) in English, considering domain as a real number for both the variable.

26. Let P: I am in Delhi.; Q: Delhi is clean.; then q ^ p(q and p) is?

27. When to proof P?Q true, we proof P false, that type of proof is known as

28. Everyone wants to learn cosmology. This argument may be true for which domains?

29. Which of the following can only be used in disproving the statements?

30. Which of the following statement is a proposition?

31. A polygon with 7 sides can be triangulated into

32. A proof that p ? q is true based on the fact that q is true, such proofs are known as

33. Find the value of a4 for the recurrence relation an=2an-1+3, with a0=6.

34. In the principle of mathematical induction, which of the following steps is mandatory?

35. Find the number of factors of the product 58 * 75 * 23 which are perfect squares.

36. Determine the value of a2 for the recurrence relation an = 17an-1 + 30n with a0=3.

37. For m = 1, 2,__, 4m+2 is a multiple of is known as

38. A polygon with 12 sides can be triangulated into

39. The number of diagonals can be drawn in a hexagon is

40. Which amount of postage can be formed using just 4-cent and 11-cent stamps?

41. For any integer m>=3, the series 2+4+6+_ +(4m) can be equivalent to

42. A non empty set A is termed as an algebraic structure

43. Matrix multiplication is a/an property.

44. What is multiplication of the sequence 1, 2, 3, 4,__ by the sequence 1, 3, 5, 7, 11,__?

45. If (M, *) is a cyclic group of order 73, then number of generator of G is equal to

46. A cyclic group is always

47. What will be the sequence generated by the generating function 4x/(1-x)2?

48. A relation (34 x 78) x 57 = 57 x (78 x 34) can have property.

49. How many properties can be held by a group?

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