What will come in place of the question mark (?) in the following number series? 1, 5, 14, 30, 55, ? MCQ with Answer and Explanation

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What will come in place of the question mark (?) in the following number series? 1, 5, 14, 30, 55, ?

A. 85

B. 80

C. 90

D. 91

Answer: Option D

Solution (By JKExamLibrary)

The differences are: 4, 9, 16, 25. These are squares of consecutive integers: 2², 3², 4², 5². The next difference is 6²=36. Therefore, 55+36=91.

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? 11, 23, 47, 95, ?

A. 187

B. 191

C. 189

D. 185

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Correct Answer: Option B

Explanation:
Each term is obtained by multiplying by 2 and adding 1. (11×2)+1=23, (23×2)+1=47, (47×2)+1=95. The next term is (95×2)+1=191.

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? 3, 7, 13, 21, 31, ?

A. 39

B. 43

C. 45

D. 41

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Correct Answer: Option B

Explanation:
The differences are: 4, 6, 8, 10. These are increasing by 2. The next difference is 12. Therefore, 31+12=43.

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? 3, 10, 21, 36, 55, ?

A. 80

B. 76

C. 78

D. 74

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Correct Answer: Option C

Explanation:
The differences are: 7, 11, 15, 19. These are increasing by 4. The next difference is 23. Therefore, 55+23=78.

This question belongs to: Reasoning Number Series

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