MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
(a1, a2) R implies that (a2, a1) R, for all a1, a2 A. This condition is for which of the following relations? |
| A. | Equivalence relation |
| B. | Reflexive relation |
| C. | Symmetric relation |
| D. | Universal relation |
| Answer» D. Universal relation | |
| 2. |
(a,a) R, for every a A. This condition is for which of the following relations? |
| A. | Reflexive relation |
| B. | Symmetric relation |
| C. | Equivalence relation |
| D. | Transitive relation |
| Answer» B. Symmetric relation | |
| 3. |
Which of the following relations is symmetric and transitive but not reflexive for the set I = {4, 5}? |
| A. | R = {(4, 4), (5, 4), (5, 5)} |
| B. | R = {(4, 4), (5, 5)} |
| C. | R = {(4, 5), (5, 4)} |
| D. | R = {(4, 5), (5, 4), (4, 4)} |
| Answer» E. | |
| 4. |
Let I be a set of all lines in a XY plane and R be a relation in I defined as R = {(I1, I2):I1 is parallel to I2}. What is the type of given relation? |
| A. | Reflexive relation |
| B. | Transitive relation |
| C. | Symmetric relation |
| D. | Equivalence relation |
| Answer» E. | |
| 5. |
Which of the following relations is reflexive but not transitive for the set T = {7, 8, 9}? |
| A. | R = {(7, 7), (8, 8), (9, 9)} |
| B. | R = {(7, 8), (8, 7), (8, 9)} |
| C. | R = {0} |
| D. | R = {(7, 8), (8, 8), (8, 9)} |
| Answer» B. R = {(7, 8), (8, 7), (8, 9)} | |
| 6. |
Let R be a relation in the set N given by R={(a,b): a+b=5, b>1}. Which of the following will satisfy the given relation? |
| A. | (2,3) R |
| B. | (4,2) R |
| C. | (2,1) R |
| D. | (5,0) R |
| Answer» B. (4,2) R | |
| 7. |
Which of the following relations is transitive but not reflexive for the set S={3, 4, 6}? |
| A. | R = {(3, 4), (4, 6), (3, 6)} |
| B. | R = {(1, 2), (1, 3), (1, 4)} |
| C. | R = {(3, 3), (4, 4), (6, 6)} |
| D. | R = {(3, 4), (4, 3)} |
| Answer» B. R = {(1, 2), (1, 3), (1, 4)} | |
| 8. |
Which of the following relations is symmetric but neither reflexive nor transitive for a set A = {1, 2, 3}. |
| A. | R = {(1, 2), (1, 3), (1, 4)} |
| B. | R = {(1, 2), (2, 1)} |
| C. | R = {(1, 1), (2, 2), (3, 3)} |
| D. | R = {(1, 1), (1, 2), (2, 3)} |
| Answer» C. R = {(1, 1), (2, 2), (3, 3)} | |
| 9. |
An Equivalence relation is always symmetric. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 10. |
Which of these is not a type of relation? |
| A. | Reflexive |
| B. | Surjective |
| C. | Symmetric |
| D. | Transitive |
| Answer» C. Symmetric | |