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. 80

B. 90

C. 85

D. 91

Answer: Option D

Solution (By JKSSB Mock Tests)

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? 5, 14, 27, 44, ?

A. 61

B. 67

C. 63

D. 65

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Correct Answer: Option D

Explanation:
The differences are: 9, 13, 17. These are increasing by 4. The next difference is 21. Therefore, 44+21=65.

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? 10, 17, 26, 37, 50, ?

A. 63

B. 65

C. 67

D. 61

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Correct Answer: Option B

Explanation:
The differences are: 7, 9, 11, 13. These are consecutive odd numbers. The next difference is 15. Therefore, 50+15=65.

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? 1, 5, 13, 29, ?

A. 57

B. 59

C. 61

D. 63

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Correct Answer: Option C

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

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