Sets MCQ test 2

Q1. The cardinality of set A= {x: x∈N, x≤10} is ______.

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10

1024

20

None of these

Q2. Which of the following two sets are equal?

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A = {1, 2} and B = {1}

A = {1, 2} and B = {1, 2, 3}

A = {1, 2, 3} and B = {2, 1, 3}

A = {1, 2, 4} and B = {1, 2, 3}

Q3. The number of elements in the Power set P(S) of the set S = {1, 2, 3} is:

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3

5

8

6

Q4. Empty set is a _______

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Finite set

Infinite set

Univershal set

None of these

Q5. How many elements are there in the complement of set A?

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0

1

all elements of A

None of these

Q6. Write P = {1, 4, 9, 16, 25,…} in set builder form.

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P = {x: x is a set of prime numbers}

P = {x: x is a set of whole numbers}

P = {x: x is a set of natural numbers}

P = {x: x is a set of square numbers}

Q7. If A, B and C are any three sets, then A × (B ∪ C) is equal to:

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(A × B) ∪ (A × C)

(A ∪ B) × (A ∪ C)

(A × B) ∩ (A × C)

None of the above

Q8.The number of elements in the Power set P(S) of the set S = [ [ Φ] , 1, [ 2, 3 ]] is

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A = {4, x, y} and B = 4

A = {x, y, z} and B = 8

A ={y, z, 5} and B = 2

A = {4, 5} and B = None of these

Q9. If A and B are sets and A∪ B= A ∩ B, then .....

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A= Φ

B= Φ

A=B

None of these

Q10. If A be a finite set of size n, then number of elements in the power set of A x A

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2^n

n^2

2^n^2

None of these

Q11. A - (B ∪ C) is.........

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(A - B) ∪ (A - C)

A - B - C

(A - B) ∩ (A - C)

A - (B ∩ C)'

Q12. Which of the following sets are null sets?

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{0}

Ø

{ }

Both (b) & (c)

Q13. Number of subsets of a set of order three is .......

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4

8

9

None of these

Q14. The number of elements in the power set of the set {{a, b}, c} is

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2

4

6

None of these

Q15. If n(A)=3 and n(B)=6 and A⊆B then number of element in A ∩ B

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3

6

5

None of these

Q16.Two finite sets have m and n elements respectively. The total number of subset of the first set is 56 more than the total no. of subsets of the second set.The values of m and n respectively will be

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m=3,n=3

m=6,n=3

m=4,n=3

None of these

Q17. If N (A) = 115, N (B) = 326, N (A∩B) = 47, Then N (A U B) Is Equal To

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370

394

165

None of theset

Q18. The smallest set A such that A ∪ {1, 2} = {1, 2, 3, 5, 9} is

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{2, 3, 5}

{3, 5, 9}

{1,2, 5, 9}

None of these

Q19.If A, B and C are three sets, then A - (B - C) equals to

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A − (B ∩ C)

(A − B) ∪ C

(A − B) ∪ (A ∩ C)

(A - B) ∪ (A -C)

Q20. If A,B and C are three sets such that A∩B = A∩C and A∪B = A∪C, then.......

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A=B

A=C

B=C

None of these