Explore topic-wise MCQs in Discrete Mathematics.

This section includes 19 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Convert set {x: x is a positive prime number which divides 72} in roster form.

A. {2, 3, 5}
B. {2, 3, 6}
C. {2, 3}
D. {∅}
Answer» D. {∅}
2.

{x: x ∈ N and x is prime} then it is ________

A. Infinite set
B. Finite set
C. Empty set
D. Not a set
Answer» B. Finite set
3.

Subset of the set A= { } is?

A. A
B. {}
C.
D. All of the mentioned
Answer» E.
4.

A = {∅,{∅},2,{2,∅},3}, which of the following is true?

A. {{∅,{∅}} ∈ A
B. {2} ∈ A
C. ∅ ⊂ A
D. 3 ⊂ A
Answer» D. 3 ⊂ A
5.

Which of the following is subset of set {1, 2, 3, 4}?

A. {1, 2}
B. {1, 2, 3}
C. {1}
D. All of the mentioned
Answer» E.
6.

Express {x: x= n/ (n+1), n is a natural number less than 7} in roster form.

A. {1⁄2, 2⁄3, 4⁄5, 6⁄7}
B. {1⁄2, 2⁄3, 3⁄4, 4⁄5, 5⁄6, 6⁄7, 7⁄8}
C. {1⁄2, 2⁄3, 3⁄4, 4⁄5, 5⁄6, 6⁄7}
D. Infinite set
Answer» D. Infinite set
7.

Write set {1, 5, 15, 25,…} in set-builder form.

A. {x: either x=1 or x=5n, where n is a real number}
B. {x: either x=1 or x=5n, where n is a integer}
C. {x: either x=1 or x=5n, where n is an odd natural number}
D. {x: x=5n, where n is a natural number}
Answer» D. {x: x=5n, where n is a natural number}
8.

{x: x is a real number between 1 and 2} is an ________

A. Infinite set
B. Finite set
C. Empty set
D. None of the mentioned
Answer» B. Finite set
9.

{x: x is an integer neither positive nor negative} is ________

A. Empty set
B. Non-empty set
C. Finite set
D. Non- empty and Finite set
Answer» E.
10.

{X:_X_‚ÄÖ√Ñ√∂‚ÀւĆ‚ÀւĆ_N_AND_X_IS_PRIME}_THEN_IT_IS:?$#

A. Infinite set
B. Finite set
C. Empty set
D. Not a set
Answer» B. Finite set
11.

Convert_set_{x:_x_is_a_positive_prime_number_which_divides_72}_in_roster_form:$

A. {2, 3, 5}
B. {2, 3, 6}
C. {2, 3}
D. {‚àÖ}
Answer» D. {‚Äö√Ñ√∂‚àö‚Ć‚àö√±}
12.

Subset of the set A= { } is?

A. A
B. {}
C. ‚àÖ
D. All of the mentioned
Answer» E.
13.

A = {‚àÖ,{‚àÖ},2,{2,‚àÖ},3} ,which of the following is true.$

A. {{‚àÖ,{‚àÖ}} ‚àà A
B. {2} ‚àà A
C. ∅ ⊂ A
D. 3 ⊂ A
Answer» D. 3 ‚Äö√Ñ√∂‚àö¬ß‚àö√° A
14.

Which of the following is subset of set {1, 2, 3, 4}.

A. {1, 2}
B. {1, 2, 3}
C. {1}
D. All of the mentioned
Answer» E.
15.

Number of power set of {a, b}, where a and b are distinct elements.

A. 3
B. 4
C. 2
D. 5
Answer» C. 2
16.

Express {x: x= n/ (n+1), n is a natural number less than 7} in roster form:

A. {<sup>1</sup>‚ÅÑ<sub>2</sub>, <sup>2</sup>‚ÅÑ<sub>3</sub>, <sup>4</sup>‚ÅÑ<sub>5</sub>, <sup>6</sup>‚ÅÑ<sub>7</sub>}
B. {<sup>1</sup>‚ÅÑ<sub>2</sub>, <sup>2</sup>‚ÅÑ<sub>3</sub>, <sup>3</sup>‚ÅÑ<sub>4</sub>, <sup>4</sup>‚ÅÑ<sub>5</sub>, <sup>5</sup>‚ÅÑ<sub>6</sub>, <sup>6</sup>‚ÅÑ<sub>7</sub>, <sup>7</sup>‚ÅÑ<sub>8</sub>}
C. {<sup>1</sup>‚ÅÑ<sub>2</sub>, <sup>2</sup>‚ÅÑ<sub>3</sub>, <sup>3</sup>‚ÅÑ<sub>4</sub>, <sup>4</sup>‚ÅÑ<sub>5</sub>, <sup>5</sup>‚ÅÑ<sub>6</sub>, <sup>6</sup>‚ÅÑ<sub>7</sub>}
D. Infinite set
Answer» D. Infinite set
17.

Write set {1, 5, 15, 25,…} in set-builder form :$

A. {x: either x=1 or x=5n, where n is a real number}
B. {x: either x=1 or x=5n, where n is a integer}
C. {x: either x=1 or x=5n, where n is an odd natural number}
D. {x: x=5n, where n is a natural number}
Answer» D. {x: x=5n, where n is a natural number}
18.

{x: x is a real number between 1 and 2} is an

A. Infinite set
B. Finite set
C. Empty set
D. None of the mentioned
Answer» B. Finite set
19.

{x: x is an integer neither positive nor negative} is

A. Empty set
B. Non- empty set
C. Finite set
D. Both b and c
Answer» E.