sets

P = {a, e, i, o, u}

Q = {a, b, c, d, e, f}

Which kind of sets do P and Q represent?

• a. Equal sets

• b. Equivalent set

• c. Overlapping sets

• d. Disjoint sets

If A is a subset of B and A ≠ B, then which one of the following options will be correct?

• a. A ⊆ B

• b. A ⊇ B

• c. A ⊃ B

• d. A ⊂ B

Which of the following represent the distributive property of union over intersection?

• a. A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)

• b. A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

• c. A ∩ (B ∩ C) = (A ∩ B) ∪ (A ∩ C)

• d. A ∪ (B ∪ C) = (A ∪ B) ∩ (A ∪ C)

Which of the following sets is not a singleton set?

• a. A = {∅}

• b. B = {x : x ∈ W, x < 1}, Where W = Set of whole numbers

• C = {Vowels present in the word ‘HYMN’}

• D = { x : x ∈ N, x is an even prime number}, Where N = Set of natural numbers

A = {1, 2, 3, 4, 5}

B = {one, two, three, four}

Which kind of sets do A and B represent?

• Equal sets

• b. Equivalent sets

• c. Disjoint sets

• d. Overlapping sets

For two disjoint sets A and B, n(A ⋃ B) = ____________.

• a. n(A) + n(B)

• b. n(A) − n(B)

• c. n(A ⋂ B)

• d. n(A) × n(B)

Which of the following sets represent a finite set?

• X = {10, 20, 30, 40, 50 ...}

• Y = {The number of seconds in a decade}

• c. Z = {x : 4 < x < 7, x ∈ R}, Where R = Set of real number

• d. W = {x : x is the multiple of 3}

If the cardinal number associated with the power set of a set is 32, then how many proper subsets are

possible for the set?

• a. 31

• b. 32

• c. 64

• d. 512

A = {0, 1, 2, 3, 4 ...}

B = {1, 2, 3, 4, 5 ...}

C = {0, 2, 4, 6, 8 ...}

Which of the following is correct?

• a. B is the superset of A.

• b. B is the superset of C.

• c. B is the subset of A.

• d. B is the subset of C.

10. If A and B are overlapping sets, then (A ∩ B) − B = ____________.

• a. A − B

• b. (A − B)'

• c. ∅

• d. B'