Explore topic-wise MCQs in Discrete Mathematics.

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
Discussion
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
Discussion
3.

For number B, C if H is harmonic mean, A is the airthmetic mean then H>=A.

A. True
B. False
Answer» C.
Discussion
4.

For number A, C if H is harmonic mean, G is geometric mean then H>=G.

A. True
B. False
Answer» C.
Discussion
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)
Discussion
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
Discussion
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
Discussion
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
Discussion
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.
Discussion
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
Discussion
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
Discussion
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
Discussion
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>)
Discussion
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
Discussion
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
Discussion
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>
Discussion
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.
Discussion