sinfoera.com – MCQs, Mock Tests | Mathematics Mathematics MCQs Set-6

1 A={1,2,3}, B={2,3,4}, C={2,3,5}, D={1,3,5,7}. Find (AâˆªB) âˆ© (CâˆªD).

A A B B C C D D

✅ Correct Answer: 1

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 A B B C C D B-C

✅ Correct Answer: 3

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 BâˆªC.

A A B B C C D B-C

✅ Correct Answer: 1

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 Bâˆ©C.

A A B B C C D Î¦

✅ Correct Answer: 4

5 (AâˆªB) âˆ© (BâˆªA) = __________

A A B B C AâˆªB D Aâˆ©B

✅ Correct Answer: 3

6 (Aâˆ©B) âˆª (Bâˆ©A) = ______________

A A B B C AâˆªB D Aâˆ©B

✅ Correct Answer: 4

7 If P X Q is an empty set then which of the following is a null set?

A only P B only Q C either P or Q D both P and Q

✅ Correct Answer: 3

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

A a=x B a=y C a=y and b=x D a=x and b=y

✅ Correct Answer: 3

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

A x=3 and y=10 B x=3 and y=4 C x=7 and y=4 D x=7 and y=10

✅ Correct Answer: 1

10 Is (a, b) = (b, a)?

A True B False C D

✅ Correct Answer: 2

11 If P X Q has 10 elements then which is not possible?

A n(P)=1 and n(Q)=10 B n(P)=10 and n(Q)=1 C n(P)=2 and n(Q)=5 D n(P)=5 and n(Q)=4

✅ Correct Answer: 4

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

A True B False C D

✅ Correct Answer: 1

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

A {1} B {1, 2} C {1, a} D {a, b, c}

✅ Correct Answer: 2

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

A {1} B {1, 2} C {1, a} D {a, b, c}

✅ Correct Answer: 4

15 If set A has 2 elements and set B has 3 elements then how many subsets does A X B have?

A 6 B 8 C 32 D 64

✅ Correct Answer: 4

16 Which of the following two sets equal?

A {1,2,3} and {2,3,4} B {1,3,5} and {1,3,5,7} C {3,4,7} and {7,4,3} D {1,2,7} and {2,7,1,4}

✅ Correct Answer: 3

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 ____________

A Infinite B Empty C Singleton D Equal

✅ Correct Answer: 4

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

A True B False C D

✅ Correct Answer: 2

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?

A True B False C D

✅ Correct Answer: 1

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}

A X and Y B Y and Z C X and Z D X, Y and Z

✅ Correct Answer: 1

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}

A X and Y B Y and Z C X and Z D X, Y and Z

✅ Correct Answer: 3

22 Equal sets _______ number of elements.

A Must have same B May have same C Canâ€™t have same D Shouldnâ€™t have different

✅ Correct Answer: 1

23 If two sets have equal number of elements, then they ___________

A Are equal B Are not equal C May be equal D Are finite

✅ Correct Answer: 3

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 â€œAâ€ and â€œBâ€ are equal sets B â€œAâ€ and â€œBâ€ are equivalent sets C â€œAâ€ and â€œBâ€ are empty sets D â€œAâ€ and â€œBâ€ are infinite sets

✅ Correct Answer: 2

25 Which of the following set is finite?

A {1,2,3,4,â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦.} B {4,7,9} C {1,4,9,16,â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦.} D {1,8,27,â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦.}

✅ Correct Answer: 2

26 The finite set can have ________________ number of elements.

A only zero B only one C at least one D zero or more but not infinite

✅ Correct Answer: 4

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

A zero B one C finite D infinite

✅ Correct Answer: 4

28 Which of the following is infinite set?

A Set of days of week B Set of points on a line C Set of months in a year D Set of prime numbers less than 99

✅ Correct Answer: 2

29 Set of letters of English alphabet is__________________

A empty set B singleton set C finite set D infinite set

✅ Correct Answer: 3

30 Which of the following is a finite set?

A Set of natural numbers B Set of whole numbers C Set of even numbers D Set of even prime number

✅ Correct Answer: 4

31 Which of the set is singleton set?

A Set of odd prime numbers B Set of even prime numbers C Set of odd numbers D Set of prime numbers

✅ Correct Answer: 2

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

A True B False C D

✅ Correct Answer: 1

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

A True B False C D

✅ Correct Answer: 1

34 Finite set ______________ empty set.

A is same as B is an C is not D may or may not

✅ Correct Answer: 4

35 Which of the following is an infinite set?

A A set of girls in a college B A set of players in a cricket team C A set of points in a Line D A set of edges in a square

✅ Correct Answer: 3

36 If A = {1,2,3,4,6} and B = {2,3,4} then which one of the following is correct?

A A is a universal set B B is a subset of A C B is a superset of A D A is a null set

✅ Correct Answer: 2

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

A A=B B AâŠ†B C BâŠ†A D AâŠ„B

✅ Correct Answer: 2

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

A AâŠ†B B BâŠ†A C Ð¤âŠ†A D BâŠ†Ð¤

✅ Correct Answer: 3

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

A {{2}, {4}} B {{2}, {4}, {2,4}} C {Ð¤, {2}, {4}} D {Ð¤, {2}, {4}, {2,4}}

✅ Correct Answer: 4

40 The number of subsets of a set containing 5 elements is?

A 5 B 25 C 32 D 64

✅ Correct Answer: 3

41 If A is a set of whole numbers and B is a set of Natural Numbers then choose the correct option.

A AâŠ†B B BâŠ†A C A=B D A and B are finite sets

✅ Correct Answer: 2

A A B B C Null set D Universal Set

✅ Correct Answer: 1

43 If AâŠ†B then what is A âˆªB, where A and B are two sets?

A A B B C Null Set D Universal Set

✅ Correct Answer: 2

44 If AâŠ†B and BâŠ†A then A=B.

A True B False C D

✅ Correct Answer: 1

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

A {1, 2, 3, 4} B {(1, 3),(2, 4)} C {(1, 3), (2, 4), (1, 4), (2, 3)} D {(3, 1), (4, 1)}

✅ Correct Answer: 3

46 If set A has 4 elements and B has 3 elements then set n(A X B) is?

A 12 B 14 C 24 D 7

✅ Correct Answer: 1

47 Which of the following statements regarding sets is false?

A A X B = B X A B A X B â‰ B X A C n(A X B) = n(A) * n(B) D All of the mentioned

✅ Correct Answer: 1

48 If n(A X B) = n(B X A) = 36 then which of the following may hold true?

A n(A)=2, n(B)=18 B n(A)=9, n(B)=4 C n(A)=6, n(b)=6 D None of the mentioned

✅ Correct Answer: 3

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

A True B False C D

✅ Correct Answer: 2

50 If A âŠ† B then A X C âŠ† B X C the given statement is true or false.

A True B False C D

✅ Correct Answer: 1

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Mathematics MCQs Set-6