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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. | |