R4RIN – MCQs, Mock Tests | Mathematics Mathematics MCQs Set-6

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

1. A
2. B
3. C
4. D

✅ Correct Answer: 1

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.

1. A
2. B
3. C
4. B-C

✅ Correct Answer: 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.

1. A
2. B
3. C
4. B-C

✅ Correct Answer: 1

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.

1. A
2. B
3. C
4. Φ

✅ Correct Answer: 4

(A∪B) ∩ (B∪A) = __________

1. A
2. B
3. A∪B
4. A∩B

✅ Correct Answer: 3

(A∩B) ∪ (B∩A) = ______________

1. A
2. B
3. A∪B
4. A∩B

✅ Correct Answer: 4

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

1. only P
2. only Q
3. either P or Q
4. both P and Q

✅ Correct Answer: 3

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

1. a=x
2. a=y
3. a=y and b=x
4. a=x and b=y

✅ Correct Answer: 3

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

1. x=3 and y=10
2. x=3 and y=4
3. x=7 and y=4
4. x=7 and y=10

✅ Correct Answer: 1

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

1. True
2. False
3.
4.

✅ Correct Answer: 2

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

1. n(P)=1 and n(Q)=10
2. n(P)=10 and n(Q)=1
3. n(P)=2 and n(Q)=5
4. n(P)=5 and n(Q)=4

✅ Correct Answer: 4

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

1. True
2. False
3.
4.

✅ Correct Answer: 1

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

1. {1}
2. {1, 2}
3. {1, a}
4. {a, b, c}

✅ Correct Answer: 2

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

1. {1}
2. {1, 2}
3. {1, a}
4. {a, b, c}

✅ Correct Answer: 4

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

1. 6
2. 8
3. 32
4. 64

✅ Correct Answer: 4

Which of the following two sets equal?

1. {1,2,3} and {2,3,4}
2. {1,3,5} and {1,3,5,7}
3. {3,4,7} and {7,4,3}
4. {1,2,7} and {2,7,1,4}

✅ Correct Answer: 3

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 ____________

1. Infinite
2. Empty
3. Singleton
4. Equal

✅ Correct Answer: 4

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

1. True
2. False
3.
4.

✅ Correct Answer: 2

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?

1. True
2. False
3.
4.

✅ Correct Answer: 1

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}

1. X and Y
2. Y and Z
3. X and Z
4. X, Y and Z

✅ Correct Answer: 1

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}

1. X and Y
2. Y and Z
3. X and Z
4. X, Y and Z

✅ Correct Answer: 3

Equal sets _______ number of elements.

1. Must have same
2. May have same
3. Can’t have same
4. Shouldn’t have different

✅ Correct Answer: 1

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

1. Are equal
2. Are not equal
3. May be equal
4. Are finite

✅ Correct Answer: 3

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?

1. “A” and “B” are equal sets
2. “A” and “B” are equivalent sets
3. “A” and “B” are empty sets
4. “A” and “B” are infinite sets

✅ Correct Answer: 2

Which of the following set is finite?

1. {1,2,3,4,……………………….}
2. {4,7,9}
3. {1,4,9,16,…………………….}
4. {1,8,27,……………………….}

✅ Correct Answer: 2

The finite set can have ________________ number of elements.

1. only zero
2. only one
3. at least one
4. zero or more but not infinite

✅ Correct Answer: 4

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

1. zero
2. one
3. finite
4. infinite

✅ Correct Answer: 4

Which of the following is infinite set?

1. Set of days of week
2. Set of points on a line
3. Set of months in a year
4. Set of prime numbers less than 99

✅ Correct Answer: 2

Set of letters of English alphabet is__________________

1. empty set
2. singleton set
3. finite set
4. infinite set

✅ Correct Answer: 3

Which of the following is a finite set?

1. Set of natural numbers
2. Set of whole numbers
3. Set of even numbers
4. Set of even prime number

✅ Correct Answer: 4

Which of the set is singleton set?

1. Set of odd prime numbers
2. Set of even prime numbers
3. Set of odd numbers
4. Set of prime numbers

✅ Correct Answer: 2

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

1. True
2. False
3.
4.

✅ Correct Answer: 1

Set of solutions of a quadratic equation is finite set.

1. True
2. False
3.
4.

✅ Correct Answer: 1

Finite set ______________ empty set.

1. is same as
2. is an
3. is not
4. may or may not

✅ Correct Answer: 4

Which of the following is an infinite set?

1. A set of girls in a college
2. A set of players in a cricket team
3. A set of points in a Line
4. A set of edges in a square

✅ Correct Answer: 3

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

1. A is a universal set
2. B is a subset of A
3. B is a superset of A
4. A is a null set

✅ Correct Answer: 2

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

1. A=B
2. A⊆B
3. B⊆A
4. A⊄B

✅ Correct Answer: 2

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

1. A⊆B
2. B⊆A
3. Ф⊆A
4. B⊆Ф

✅ Correct Answer: 3

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

1. {{2}, {4}}
2. {{2}, {4}, {2,4}}
3. {Ф, {2}, {4}}
4. {Ф, {2}, {4}, {2,4}}

✅ Correct Answer: 4

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

1. 5
2. 25
3. 32
4. 64

✅ Correct Answer: 3

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

1. A⊆B
2. B⊆A
3. A=B
4. A and B are finite sets

✅ Correct Answer: 2

If A⊆B then what is A∩B, where A and B are two sets?

1. A
2. B
3. Null set
4. Universal Set

✅ Correct Answer: 1

If A⊆B then what is A ∪B, where A and B are two sets?

1. A
2. B
3. Null Set
4. Universal Set

✅ Correct Answer: 2

If A⊆B and B⊆A then A=B.

1. True
2. False
3.
4.

✅ Correct Answer: 1

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

1. {1, 2, 3, 4}
2. {(1, 3),(2, 4)}
3. {(1, 3), (2, 4), (1, 4), (2, 3)}
4. {(3, 1), (4, 1)}

✅ Correct Answer: 3

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

1. 12
2. 14
3. 24
4. 7

✅ Correct Answer: 1

Which of the following statements regarding sets is false?

1. A X B = B X A
2. A X B ≠ B X A
3. n(A X B) = n(A) * n(B)
4. All of the mentioned

✅ Correct Answer: 1

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

1. n(A)=2, n(B)=18
2. n(A)=9, n(B)=4
3. n(A)=6, n(b)=6
4. None of the mentioned

✅ Correct Answer: 3

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

1. True
2. False
3.
4.

✅ Correct Answer: 2

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

1. True
2. False
3.
4.

✅ Correct Answer: 1