Mathematics-Mathematics MCQs Set/6 Sample Test,Sample questions

Question:
 (A∪B) ∩ (B∪A) = __________

1.A

2.B

3.A∪B

4.A∩B


Question:
 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}


Question:
 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


Question:
(A∩B) ∪ (B∩A) = ______________

1.A

2.B

3.A∪B

4. A∩B


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

1.True

2.False


Question:
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


Question:
Equal sets _______ number of elements.

1.Must have same

2.May have same

3.Can’t have same

4.Shouldn’t have different


Question:
Finite set ______________ empty set.

1.is same as

2.is an

3.is not

4.may or may not


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

1.a=x

2.a=y

3.a=y and b=x

4.a=x and b=y


Question:
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


Question:
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


Question:
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


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

1.A=B

2.A⊆B

3.B⊆A

4.A⊄B


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

1.A⊆B

2.B⊆A

3.Ф⊆A

4.B⊆Ф


Question:
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}}


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

1.True

2.False


Question:
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


Question:
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


Question:
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


Question:
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


Question:
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}


Question:
If A⊆B and B⊆A then A=B.

1.True

2.False


Question:
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


Question:
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


Question:
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


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

1.True

2.False


Question:
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


Question:
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


Question:
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


Question:
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


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

1.Are equal

2.Are not equal

3.May be equal

4.Are finite


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

1.True

2.False


Question:
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


Question:
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)}


Question:
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


Question:
Set of letters of English alphabet is__________________

1.empty set

2.singleton set

3.finite set

4.infinite set


Question:
Set of solutions of a quadratic equation is finite set.

1.True

2.False


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

1.True

2.False


Question:
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


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

1.5

2.25

3.32

4.64


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

1.zero

2. one

3.finite

4.infinite


Question:
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


Question:
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


Question:
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


Question:
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,……………………….}


Question:
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


Question:
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


Question:
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}


Question:
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


Question:
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


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