MCQOPTIONS
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MCQOPTIONS
This section includes 657 Mcqs, each offering curated multiple-choice questions to sharpen your Testing Subject knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Let G be a cyclic group of order 12. Then the number of non-isomorphic subgroups of G is___ |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 8 |
| Answer» C. 7 | |
| 2. |
Which of the following statement(s) is(are) TRUE? |
| A. | There exists a connected set in ¡ which is compact |
| B. | Arbitrary union of closed intervals in ¡ need not be compact |
| C. | Arbitrary union of closed intervals in ¡ is always closed |
| D. | Every bounded infinite subset V of ¡ has a limit point in V itself |
| Answer» C. Arbitrary union of closed intervals in ¡ is always closed | |
| 3. |
One of the points which lies on the solution curve of the differential equation (y – x) dx + (x + y) dy = 0, with the given condition y(0) = 1, is |
| A. | (1, –2) |
| B. | (2,-1) |
| C. | (2, 1) |
| D. | (–1, 2) |
| Answer» D. (–1, 2) | |
| 4. |
Let G be a group of order 20 in which the conjugacy classes have sizes 1, 4, 5, 5, 5. Then which of the followings is/are TRUE ? |
| A. | G contains a normal subgroup of order 1. |
| B. | G contains a non-normal subgroup of order 5. |
| C. | G contains a subgroup of order 10. |
| D. | G contains a normal subgroup of order 4. |
| Answer» D. G contains a normal subgroup of order 4. | |
| 5. |
Let H be the quotient group Q/Z. Consider the following statements. I. Every cyclic subgroup of H is finite. II. Every finite cyclic group is isomorphic to a subgroup of H. Which one of the following holds ? |
| A. | I is true but II is false |
| B. | II is true but I is false |
| C. | both I and II are true |
| D. | neither I nor II is true |
| Answer» D. neither I nor II is true | |