MCQOPTIONS
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This section includes 17 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. |
If A, G, H are the AM, GM, HM between a and b respectively then? |
| A. | A, G, H are in hp |
| B. | A, G, H are in gp |
| C. | A, G, H are in ap |
| D. | None of the mentioned |
| Answer» C. A, G, H are in ap | |
| 2. |
For two number a,b HM between them is given by? |
| A. | (2b+2a )/3bb) 2ab/(a+b)c) (a+b)/2abd) 2b/(a+ |
| B. | 2ab/(a+b) |
| C. | (a+b)/2ab |
| D. | 2b/(a+b) |
| Answer» C. (a+b)/2ab | |
| 3. |
For number B, C if H is harmonic mean, A is the airthmetic mean then H>=A. |
| A. | True |
| B. | False |
| Answer» C. | |
| 4. |
For number A, C if H is harmonic mean, G is geometric mean then H>=G. |
| A. | True |
| B. | False |
| Answer» C. | |
| 5. |
If a, b, c are in hp, then b is related with a and c as _________a) 2(1⁄b) = (1⁄a + 1⁄c)b) 2(1⁄c) = (1⁄b + 1⁄c)c) 2(1⁄ |
| A. | 2(1⁄b) = (1⁄a + 1⁄c)b) 2(1⁄c) = (1⁄b + 1⁄c)c) 2(1⁄a) = (1⁄a + 1⁄ |
| B. | = (1⁄a + 1⁄c)b) 2(1⁄c) = (1⁄b + 1⁄c) |
| C. | 2(1⁄c) = (1⁄b + 1⁄c)c) 2(1⁄a) = (1⁄a + 1⁄b) |
| D. | None of the mentioned |
| Answer» B. = (1⁄a + 1⁄c)b) 2(1⁄c) = (1⁄b + 1⁄c) | |
| 6. |
If a, b, c are in hp then a-1, b-1, c-1 are in _________ |
| A. | GP |
| B. | HP |
| C. | AP |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 7. |
If for some number a and d, if first term is 1⁄a, second term is 1/(a+d), thrid term is 1/(a+2d) and so on, then 5th term of the sequence is? |
| A. | a+4d |
| B. | a-4d |
| C. | 1/(a+4d) |
| D. | , thrid term is 1/(a+2d) and so on, then 5th term of the sequence is?a) a+4db) a-4dc) 1/(a+4d)d) none of the mentioned |
| Answer» D. , thrid term is 1/(a+2d) and so on, then 5th term of the sequence is?a) a+4db) a-4dc) 1/(a+4d)d) none of the mentioned | |
| 8. |
The ninth term of 1⁄3, 1⁄7, 1⁄11, 1⁄15, 1⁄19,……… is given by? |
| A. | 1⁄35 |
| B. | 1⁄36 |
| C. | 1⁄39 |
| D. | None of the mentioned |
| Answer» B. 1⁄36 | |
| 9. |
If a1, a2……… are in AP then a1-1, a2-1……… are in __________ |
| A. | An airthmetic sequence |
| B. | A geometic progression |
| C. | Airthmetico-geometric progression |
| D. | None of the mentioned |
| Answer» E. | |
| 10. |
FOR_TWO_NUMBER_A,B_HM_BETWEEN_THEM_IS_GIVEN_BY:?$ |
| A. | (2b+2a )/3b |
| B. | 2ab/(a+b) |
| C. | (a+b)/2ab |
| D. | 2b/(a+b) |
| Answer» C. (a+b)/2ab | |
| 11. |
If_A,_G,_H_are_the_AM,_GM,_HM_between_a_and_b_respectively_then:$ |
| A. | A, G, H are in hp |
| B. | A, G, H are in gp |
| C. | A, G, H are in ap |
| D. | None of the mentioned |
| Answer» C. A, G, H are in ap | |
| 12. |
Which of the following gives the right inequality for AM, GM, HM? |
| A. | AM>=HM>=GM |
| B. | GM>=AM>=HM |
| C. | AM>=GM>=HM |
| D. | GM>=HM>=AM |
| Answer» D. GM>=HM>=AM | |
| 13. |
If a, b, c are in hp, then b is related with a and c as : |
| A. | 2(<sup>1</sup>‚ÅÑ<sub>b</sub>) = (<sup>1</sup>‚ÅÑ<sub>a</sub> + <sup>1</sup>‚ÅÑ<sub>c</sub>) |
| B. | 2(<sup>1</sup>‚ÅÑ<sub>c</sub>) = (<sup>1</sup>‚ÅÑ<sub>b</sub> + <sup>1</sup>‚ÅÑ<sub>c</sub>) |
| C. | 2(<sup>1</sup>‚ÅÑ<sub>a</sub>) = (<sup>1</sup>‚ÅÑ<sub>a</sub> + <sup>1</sup>‚ÅÑ<sub>b</sub>) |
| D. | None of the mentioned |
| Answer» B. 2(<sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>c</sub>) = (<sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>b</sub> + <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>c</sub>) | |
| 14. |
If a, b, c are in hp then a-1, b-1, c-1 are in: |
| A. | GP |
| B. | HP |
| C. | AP |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 15. |
If for some number a and d,if first term is 1‚ÅÑa, second term is 1/(a+d) ,thrid term is 1/(a+2d) and so on,then 5th term of the sequence is :$ |
| A. | a+4d |
| B. | a-4d |
| C. | 1/(a+4d) |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 16. |
The ninth term of 1⁄3, 1⁄7, 1⁄11, 1⁄15, 1⁄19,……… is given by:$ |
| A. | <sup>1</sup>‚ÅÑ<sub>35</sub> |
| B. | <sup>1</sup>‚ÅÑ<sub>36</sub> |
| C. | <sup>1</sup>‚ÅÑ<sub>39</sub> |
| D. | None of the mentioned |
| Answer» B. <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>36</sub> | |
| 17. |
If a1, a2……… are in AP then a1-1, a2-1……… are in: |
| A. | An airthmetic sequence |
| B. | A geometic progression |
| C. | Airthmetico-geometric progression |
| D. | None of the mentioned |
| Answer» E. | |