MCQOPTIONS
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MCQOPTIONS
This section includes 18 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. |
“Parul is out for a trip or it is not snowing” and “It is snowing or Raju is playing chess” imply that __________ |
| A. | Parul is out for trip |
| B. | Raju is playing chess |
| C. | Parul is out for a trip and Raju is playing chess |
| D. | Parul is out for a trip or Raju is playing chess |
| Answer» E. | |
| 2. |
What rules of inference are used in this argument?“Jay is an awesome student. Jay is also a good dancer. Therefore, Jay is an awesome student and a good dancer.” |
| A. | Conjunction |
| B. | Modus ponens |
| C. | Disjunctive syllogism |
| D. | Simplification |
| Answer» B. Modus ponens | |
| 3. |
The premises (p ∧ q) ∨ r and r → s imply which of the conclusion? |
| A. | p ∨ r |
| B. | p ∨ s |
| C. | p ∨ q |
| D. | q ∨ r |
| Answer» C. p ∨ q | |
| 4. |
What rules of inference are used in this argument?“It is either colder than Himalaya today or the pollution is harmful. It is hotter than Himalaya today. Therefore, the pollution is harmful.” |
| A. | Conjunction |
| B. | Modus ponens |
| C. | Disjunctive syllogism |
| D. | Hypothetical syllogism |
| Answer» D. Hypothetical syllogism | |
| 5. |
What rules of inference are used in this argument? “All students in this science class has taken a course in physics” and “Marry is a student in this class” imply the conclusion “Marry has taken a course in physics.” |
| A. | Universal instantiation |
| B. | Universal generalization |
| C. | Existential instantiation |
| D. | Existential generalization |
| Answer» B. Universal generalization | |
| 6. |
What rule of inference is used in this argument? “If I go for a balanced diet, then I will be fit. If I will be fit, then I will remain healthy. Therefore, if I go for a balanced diet, then I will remain healthy.” |
| A. | Modus tollens |
| B. | Modus ponens |
| C. | Disjunctive syllogism |
| D. | Hypothetical syllogism |
| Answer» E. | |
| 7. |
What rule of inference is used here?“It is cloudy and drizzling now. Therefore, it is cloudy now.” |
| A. | Addition |
| B. | Simplification |
| C. | Resolution |
| D. | Conjunction |
| Answer» C. Resolution | |
| 8. |
Which rule of inference is used, ”Bhavika will work in an enterprise this summer. Therefore, this summer Bhavika will work in an enterprise or he will go to beach.” |
| A. | Simplification |
| B. | Conjunction |
| C. | Addition |
| D. | Disjunctive syllogism |
| Answer» D. Disjunctive syllogism | |
| 9. |
Which rule of inference is used in each of these arguments, “If it hailstoday, the local office will be closed. The local office is not closed today. Thus, it did not hailed today.” |
| A. | Modus tollens |
| B. | Conjunction |
| C. | Hypothetical syllogism |
| D. | Simplification |
| Answer» B. Conjunction | |
| 10. |
Which rule of inference is used in each of these arguments, “If it is Wednesday, then the Smartmart will be crowded. It is Wednesday. Thus, the Smartmart is crowded.” |
| A. | Modus tollens |
| B. | Modus ponens |
| C. | Disjunctive syllogism |
| D. | Simplification |
| Answer» C. Disjunctive syllogism | |
| 11. |
‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚ÀÖ‚À´PARUL_IS_OUT_FOR_A_TRIP_OR_IT_IS_NOT_SNOWING‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚ÀÖŒÄ_AND_‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚ÀÖ‚À´IT_IS_SNOWING_OR_RAJU_IS_PLAYING_CHESS‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚ÀÖŒÄ_IMPLY_THAT?$# |
| A. | Parul is out for trip. |
| B. | Raju is playing chess |
| C. | Parul is out for a trip and Raju is playing chess. |
| D. | Parul is out for a trip or Raju is playing chess. |
| Answer» E. | |
| 12. |
The premises (p ‚àß q) ‚à® r and r ‚Üí s imply which of the conclusion?$ |
| A. | p ‚à® r |
| B. | p ‚à® s |
| C. | q ‚à® s |
| D. | q ‚à® r |
| Answer» C. q ‚Äö√Ñ√∂‚àö‚Ƭ¨√Ü s | |
| 13. |
What rules of inference are used in this argument? |
| A. | None of these |
| B. | Conjunction |
| C. | Modus ponens |
| Answer» D. | |
| 14. |
What rules of inference are used in this argument? |
| A. | |
| B. | Universal instantiation |
| C. | Universal generalization |
| Answer» B. Universal instantiation | |
| 15. |
What rule of inference is used here? |
| A. | |
| B. | Addition |
| C. | Simplification |
| Answer» C. Simplification | |
| 16. |
Which rule of inference is used,”Bhavika will work in an enterprise this summer. Therefore, this summer Bhavika will work in an enterprise or he will go to beach.”$ |
| A. | Simplification |
| B. | Conjunction |
| C. | Addition |
| D. | Disjunctive syllogism |
| Answer» D. Disjunctive syllogism | |
| 17. |
Which rule of inference is used in each of these arguments, “If it hailstoday, the local office will be closed. The local office is not closed today. Thus, it did not hailed today.”$ |
| A. | Modus tollens |
| B. | Conjunction |
| C. | Hypothetical syllogism |
| D. | Simplification |
| Answer» B. Conjunction | |
| 18. |
Which rule of inference is used in each of these arguments, “If it is Wednesday, then the Smartmart will be crowded. It is Wednesday. Thus, the Smartmart is crowded.” |
| A. | Modus tollens |
| B. | Modus ponens |
| C. | Disjunctive syllogism |
| D. | Simplification |
| Answer» C. Disjunctive syllogism | |