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.

What are the inverse of the conditional statement “If you make your notes, it will be a convenient in exams.”

A. “If you make notes, then it will be a convenient in exams.”
B. “If you do not make notes, then it will not be a convenient in exams.”
C. “If it will not be a convenient in exams, then you did not make your notes.”
D. “If it will be a convenient in exams, then you make your notes
Answer» C. “If it will not be a convenient in exams, then you did not make your notes.”
Discussion
2.

What are the contrapositive of the conditional statement “Medha will find a decent job when she labour hard.”?

A. “If Medha labour hard, then she will find a decent job.”
B. “If Medha will not find a decent job, then she not labour hard.”
C. “If Medha will find a decent job, then she labour hard.”
D. “If Medha not labour hard, then she will not find a decent job.”
Answer» C. “If Medha will find a decent job, then she labour hard.”
Discussion
3.

What are the converse of the conditional statement “When Raj stay up late, it is necessary that Raj sleep until noon.”

A. “If Raj stay up late, then Raj sleep until noon.”
B. “If Raj does not stay up late, then Raj does not sleep until noon.”
C. “If Raj does not sleep until noon, then Raj does not stay up late.”
D. “If Raj sleep until noon, then Raj stay up late.”
Answer» E.
Discussion
4.

What are the inverse of the conditional statement “ A positive integer is a composite only if it has divisors other than 1 and itself.”

A. “A positive integer is a composite if it has divisors other than 1 and itself.”
B. “If a positive integer has no divisors other than 1 and itself, then it is not composite.”
C. “If a positive integer is not composite, then it has no divisors other than 1 and itself.”
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
5.

What are the contrapositive of the conditional statement “I come to class whenever there is going to be a test.”

A. “If I come to class, then there will be a test.”
B. “If I do not come to class, then there will not be a test.”
C. “If there is not going to be a test, then I don’t come to class.”
D. “If there is going to be a test, then I don’t come to class.”
Answer» C. “If there is not going to be a test, then I don’t come to class.”
Discussion
6.

What is the converse of the conditional statement “If it ices today, I will play ice hockey tomorrow.”

A. “I will play ice hockey tomorrow only if it ices today.”
B. “If I do not play ice hockey tomorrow, then it will not have iced today.”
C. “If it does not ice today, then I will not play ice hockey tomorrow.”
D. “I will not play ice hockey tomorrow only if it ices today.”
Answer» B. “If I do not play ice hockey tomorrow, then it will not have iced today.”
Discussion
7.

What is the contrapositive of the conditional statement? “The home team misses whenever it is drizzling?”

A. If it is drizzling, then home team misses
B. If the home team misses, then it is drizzling
C. If it is not drizzling, then the home team does not misses
D. If the home team wins, then it is not drizzling
Answer» E.
Discussion
8.

The converse of p → q is the proposition of _______________

A. ¬p → ¬q
B. ¬q → ¬p
C. q → p
D. ¬q → p
Answer» D. ¬q → p
Discussion
9.

The inverse of p → q is the proposition of ____________

A. ¬p → ¬q
B. ¬q → ¬p
C. q → p
D. ¬q → p
Answer» B. ¬q → ¬p
Discussion
10.

The contrapositive of p → q is the proposition of ____________

A. ¬p → ¬q
B. ¬q → ¬p
C. q → p
D. ¬q → p
Answer» C. q → p
Discussion
11.

WHAT_ARE_THE_INVERSE_OF_THE_CONDITIONAL_STATEMENT_‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚ÀÖ‚À´IF_YOU_MAKE_YOUR_NOTES,_IT_WILL_BE_A_CONVENIENT_IN_EXAMS.‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚ÀÖŒÄ?$#

A. “If you make notes, then it will be a convenient in exams.”
B. “If you do not make notes, then it will not be a convenient in exams.”
C. “If it will not be a convenient in exams, then you did not make your notes.”
D. “If it will be a convenient in exams, then you make your notes
Answer» C. ‚Äö√Ñ√∂‚àö√ë‚àö‚à´If it will not be a convenient in exams, then you did not make your notes.‚Äö√Ñ√∂‚àö√ë‚àöœÄ
Discussion
12.

WHAT_ARE_THE_CONTRAPOSITIVE_OF_THE_CONDITIONAL_STATEMENT_‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚ÀÖ‚À´MEDHA_WILL_FIND_A_DECENT_JOB_WHEN_SHE_LABOUR_HARD.‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚ÀÖŒÄ??$#

A. “If Medha labour hard, then she will find a decent job.”
B. “If Medha will not find a decent job, then she not labour hard.”
C. “If Medha will find a decent job, then she labour hard.”
D. “If Medha not labour hard, then she will not find a decent job.”
Answer» C. ‚Äö√Ñ√∂‚àö√ë‚àö‚à´If Medha will find a decent job, then she labour hard.‚Äö√Ñ√∂‚àö√ë‚àöœÄ
Discussion
13.

What are the converse of the conditional statement ‚Äö√Ñ√∂‚àö√ë‚àö‚à´When Raj stay up late, it is necessary that Raj sleep until noon.‚Äö√Ñ√∂‚àö√ë‚àöœ?#

A. “If Raj stay up late, then Raj sleep until noon.”
B. “If Raj does not stay up late, then Raj does not sleep until noon.”
C. “If Raj does not sleep until noon, then Raj does not stay up late.”
D. “If Raj sleep until noon, then Raj stay up late.”
Answer» E.
Discussion
14.

What are the inverse of the conditional statement “ A positive integer is a composite only if it has divisors other than 1 and itself.”$

A. “A positive integer is a composite if it has divisors other than 1 and itself.”
B. “If a positive integer has no divisors other than 1 and itself, then it is not composite.”
C. “If a positive integer is not composite, then it has no divisors other than 1 and itself.”
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
15.

What are the contrapositive of the conditional statement “I come to class whenever there is going to be a test.$

A. “If I come to class, then there will be a test.”
B. “If I do not come to class, then there will not be a test.”
C. “If there is not going to be a test, then I don’t come to class.”
D. “If there is going to be a test, then I don’t come to class.”
Answer» C. ‚Äö√Ñ√∂‚àö√ë‚àö‚à´If there is not going to be a test, then I don‚Äö√Ñ√∂‚àö√ë‚àö¬•t come to class.‚Äö√Ñ√∂‚àö√ë‚àöœÄ
Discussion
16.

What is the converse of the conditional statement “If it ices today, I will play ice hockey tomorrow.$

A. “I will play ice hockey tomorrow only if it ices today.”
B. “If I do not play ice hockey tomorrow, then it will not have iced today.”
C. “If it does not ice today, then I will not play ice hockey tomorrow.”
D. “I will not play ice hockey tomorrow only if it ices today.”
Answer» B. ‚Äö√Ñ√∂‚àö√ë‚àö‚à´If I do not play ice hockey tomorrow, then it will not have iced today.‚Äö√Ñ√∂‚àö√ë‚àöœÄ
Discussion
17.

What is the contrapositive of the conditional statement? “The home team misses whenever it is drizzling?”$

A. If it is drizzling, then home team misses
B. If the home team misses, then it is drizzling
C. If it is not drizzling, then the home team does not misses
D. If the home team wins, then it is not drizzling
Answer» E.
Discussion
18.

The inverse of p ‚Üí q is the proposition:$
A. ¬p → ¬q
B. ¬q → ¬p
C. q ‚Üí p
D. ¬q → p
Answer» B. ¬¨¬®¬¨¬Æq ‚Äö√Ñ√∂‚àö√∫‚àö‚↠¬¨¬®¬¨¬Æp
Discussion
19.

The contrapositive of p ‚Üí q is the proposition:

A. ¬p → ¬q
B. ¬q → ¬p
C. q ‚Üí p
D. ¬q → p
Answer» C. q ‚Äö√Ñ√∂‚àö√∫‚àö‚↠p
Discussion