MCQOPTIONS
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MCQOPTIONS
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.” | |
| 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.” | |
| 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. | |
| 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 | |
| 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.” | |
| 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.” | |
| 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. | |
| 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 | |
| 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 | |
| 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 | |
| 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?$# |
| A. | “If you make notes, then it will be a convenient in exams.” |
| B. | “If you do not make notes, then it will not be a convenient in exams.” |
| C. | “If it will not be a convenient in exams, then you did not make your notes.” |
| D. | “If it will be a convenient in exams, then you make your notes |
| Answer» C. ‚Äö√Ñ√∂‚àö√ë‚àö‚à´If it will not be a convenient in exams, then you did not make your notes.‚Äö√Ñ√∂‚àö√ë‚àöœÄ | |
| 12. |
WHAT_ARE_THE_CONTRAPOSITIVE_OF_THE_CONDITIONAL_STATEMENT_‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚ÀÖ‚À´MEDHA_WILL_FIND_A_DECENT_JOB_WHEN_SHE_LABOUR_HARD.‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚ÀÖŒÄ??$# |
| 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 | |
| 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. | |
| 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 | |
| 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 | |
| 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 | |
| 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. | |
| 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 | |
| 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 | |