What will come in place of the question mark (?) in the following number series? 4, 16, 36, 64, ? MCQ with Answer and Explanation

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What will come in place of the question mark (?) in the following number series? 4, 16, 36, 64, ?

A. 100

B. 81

C. 121

D. 144

Answer: Option A

Solution (By JKSSB Mock Tests)

The series consists of squares of even numbers: 2², 4², 6², 8². The next term is 10²=100.

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? 3, 7, 13, 21, ?

A. 31

B. 33

C. 29

D. 35

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Correct Answer: Option A

Explanation:
The differences are: 4, 6, 8. These are increasing by 2. The next difference is 10. Therefore, 21+10=31.

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? 8, 13, 20, 29, 40, ?

A. 51

B. 53

C. 49

D. 55

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Correct Answer: Option B

Explanation:
The differences are: 5, 7, 9, 11. These are consecutive odd numbers. The next difference is 13. Therefore, 40+13=53.

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, 9, 16, 25, ?

A. 30

B. 36

C. 42

D. 49

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Correct Answer: Option B

Explanation:
The series consists of squares of consecutive integers: 2²=4, 3²=9, 4²=16, 5²=25. The next number should be the square of 6, which is 36.[reference:2]

This question belongs to: Reasoning Number Series

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