What will come in place of the question mark (?) in the following number series? 5, 17, 33, 53, 77, ? MCQ with Answer and Explanation

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What will come in place of the question mark (?) in the following number series? 5, 17, 33, 53, 77, ?

A. 101

B. 97

C. 99

D. 105

Answer: Option D

Solution (By JKSSB Mock Tests)

The differences are: 12, 16, 20, 24. These are increasing by 4. The next difference is 28. Therefore, 77+28=105.

This question belongs to: Reasoning Number Series

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Question #1

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What will come in place of the question mark (?) in the following number series? 1, 5, 13, 29, ?

A. 61

B. 57

C. 59

D. 63

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Correct Answer: Option A

Explanation:
Each term is obtained by multiplying by 2 and adding 3. (1×2)+3=5, (5×2)+3=13, (13×2)+3=29. The next term is (29×2)+3=61.

This question belongs to: Reasoning Number Series

Question #2

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What will come in place of the question mark (?) in the following number series? 7, 15, 31, 63, ?

A. 123

B. 125

C. 127

D. 121

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Correct Answer: Option C

Explanation:
Each term is obtained by multiplying by 2 and adding 1. (7×2)+1=15, (15×2)+1=31, (31×2)+1=63. The next term is (63×2)+1=127.

This question belongs to: Reasoning Number Series

Question #3

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What will come in place of the question mark (?) in the following number series? 4, 16, 32, 52, 76, ?

A. 104

B. 98

C. 100

D. 96

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Correct Answer: Option A

Explanation:
The differences are: 12, 16, 20, 24. These are increasing by 4. The next difference is 28. Therefore, 76+28=104.

This question belongs to: Reasoning Number Series

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