Mathematics MCQ Quiz Hub

1. A={1,2,3}, B={2,3,4}, C={2,3,5}, D={1,3,5,7}. Find (A∪B) ∩ (C∪D).
A
B
C
D

2. If A is set of natural numbers, B is set of odd natural numbers and C is set of even natural numbers, then find A-B.
A
B
C
B-C

3. If A is set of natural numbers, B is set of odd natural numbers and C is set of even natural numbers, then find B∪C.
A
B
C
B-C

4. If A is set of natural numbers, B is set of odd natural numbers and C is set of even natural numbers, then find B∩C.
A
B
C
Φ

5. (A∪B) ∩ (B∪A) = __________
A
B
A∪B
A∩B

6. (A∩B) ∪ (B∩A) = ______________
A
B
A∪B
A∩B

7. If P X Q is an empty set then which of the following is a null set?
only P
only Q
either P or Q
both P and Q

8. If (a, b) = (x, y) then___________
a=x
a=y
a=y and b=x
a=x and b=y

9. If (x+2, y-3) = (5,7) then find values of x and y.
x=3 and y=10
x=3 and y=4
x=7 and y=4
x=7 and y=10

10. Is (a, b) = (b, a)?
True
False

11. If P X Q has 10 elements then which is not possible?
n(P)=1 and n(Q)=10
n(P)=10 and n(Q)=1
n(P)=2 and n(Q)=5
n(P)=5 and n(Q)=4

12. If P = Q then P X Q = Q X P is true or not?
True
False

13. If A X B = {(1, a), (1, b), (1, c), (2, a), (2, b), (2, c)} then find set A.
{1}
{1, 2}
{1, a}
{a, b, c}

14. If A X B = {(1, a), (1, b), (1, c), (2, a), (2, b), (2, c)} then find set B.
{1}
{1, 2}
{1, a}
{a, b, c}

15. If set A has 2 elements and set B has 3 elements then how many subsets does A X B have?
6
8
32
64

16. Which of the following two sets equal?
{1,2,3} and {2,3,4}
{1,3,5} and {1,3,5,7}
{3,4,7} and {7,4,3}
{1,2,7} and {2,7,1,4}

17. Let A be set of prime numbers less than 6 and B be the set of prime factors of 30. Set A and B are ____________
Infinite
Empty
Singleton
Equal

18. A={0} and B={}. Are sets A and B are equal?
True
False

19. Let X be the set of letters of the word ALLOY and Y be the set of letters of the word LOYAL. Are the sets equal?
True
False

20. Which of the sets are equal? X={x : x-4=0 and x is a natural number}, Y={ x : x2=16 and x is a natural number}, Z={x : x>4 and x<16, x is a natural number}
X and Y
Y and Z
X and Z
X, Y and Z

21. Which of the following sets are equal? X={x : x is letter of word LIFE}, Y={x : x is letter of the word WIFE}, Z={x : x is letter of the word FILE}
X and Y
Y and Z
X and Z
X, Y and Z

22. Equal sets _______ number of elements.
Must have same
May have same
Can’t have same
Shouldn’t have different

23. If two sets have equal number of elements, then they ___________
Are equal
Are not equal
May be equal
Are finite

24. If A = {1,10,15,17} and B = {1,5,7,8} then which of the following is the correct statement about A and B?
“A” and “B” are equal sets
“A” and “B” are equivalent sets
“A” and “B” are empty sets
“A” and “B” are infinite sets

25. Which of the following set is finite?
{1,2,3,4,……………………….}
{4,7,9}
{1,4,9,16,…………………….}
{1,8,27,……………………….}

26. The finite set can have ________________ number of elements.
only zero
only one
at least one
zero or more but not infinite

27. The set is infinite if it has _______________ number of elements.
zero
one
finite
infinite

28. Which of the following is infinite set?
Set of days of week
Set of points on a line
Set of months in a year
Set of prime numbers less than 99

29. Set of letters of English alphabet is__________________
empty set
singleton set
finite set
infinite set

30. Which of the following is a finite set?
Set of natural numbers
Set of whole numbers
Set of even numbers
Set of even prime number

31. Which of the set is singleton set?
Set of odd prime numbers
Set of even prime numbers
Set of odd numbers
Set of prime numbers

32. Set {x : x is a natural number and 2x+1=0} is a finite set?
True
False

33. Set of solutions of a quadratic equation is finite set.
True
False

34. Finite set ______________ empty set.
is same as
is an
is not
may or may not

35. Which of the following is an infinite set?
A set of girls in a college
A set of players in a cricket team
A set of points in a Line
A set of edges in a square

36. If A = {1,2,3,4,6} and B = {2,3,4} then which one of the following is correct?
A is a universal set
B is a subset of A
B is a superset of A
A is a null set

37. If A = {1,2} and B = {1,2,4,8,10} then?
A=B
A⊆B
B⊆A
A⊄B

38. If A = {1,3} and B = {1,2,5} then?
A⊆B
B⊆A
Ф⊆A
B⊆Ф

39. If A = {2,4} then subsets of A are ___________
{{2}, {4}}
{{2}, {4}, {2,4}}
{Ф, {2}, {4}}
{Ф, {2}, {4}, {2,4}}

40. The number of subsets of a set containing 5 elements is?
5
25
32
64

41. If A is a set of whole numbers and B is a set of Natural Numbers then choose the correct option.
A⊆B
B⊆A
A=B
A and B are finite sets

42. If A⊆B then what is A∩B, where A and B are two sets?
A
B
Null set
Universal Set

43. If A⊆B then what is A ∪B, where A and B are two sets?
A
B
Null Set
Universal Set

44. If A⊆B and B⊆A then A=B.
True
False

45. Let set A = {1, 2} and C be {3, 4} then A X B (Cartesian product of set A and B) is?
{1, 2, 3, 4}
{(1, 3),(2, 4)}
{(1, 3), (2, 4), (1, 4), (2, 3)}
{(3, 1), (4, 1)}

46. If set A has 4 elements and B has 3 elements then set n(A X B) is?
12
14
24
7

47. Which of the following statements regarding sets is false?
A X B = B X A
A X B ≠ B X A
n(A X B) = n(A) * n(B)
All of the mentioned

48. If n(A X B) = n(B X A) = 36 then which of the following may hold true?
n(A)=2, n(B)=18
n(A)=9, n(B)=4
n(A)=6, n(b)=6
None of the mentioned

49. If C = {1} then C X (C X C) = (C X C) X C the given statement is true or false.
True
False

50. If A ⊆ B then A X C ⊆ B X C the given statement is true or false.
True
False