What will come in place of the question mark (?) in the following number series? 2, 9, 28, 65, 126, ? MCQ with Answer and Explanation

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What will come in place of the question mark (?) in the following number series? 2, 9, 28, 65, 126, ?

A. 221

B. 217

C. 219

D. 215

Answer: Option B

Solution (By JKExamLibrary)

The pattern is: 1³+1=2, 2³+1=9, 3³+1=28, 4³+1=65, 5³+1=126. The next term is 6³+1=217.

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? 4, 13, 28, 49, ?

A. 72

B. 76

C. 78

D. 74

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Correct Answer: Option B

Explanation:
The differences are: 9, 15, 21. These are increasing by 6. The next difference is 27. Therefore, 49+27=76.

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? 1, 8, 27, 64, ?

A. 121

B. 100

C. 125

D. 216

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Correct Answer: Option C

Explanation:
The series consists of cubes of consecutive integers: 1³, 2³, 3³, 4³. The next term is 5³=125.

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, 9, 25, 49, ?, 121

A. 72

B. 81

C. 64

D. 100

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Correct Answer: Option B

Explanation:
The series consists of squares of odd numbers: 1², 3², 5², 7², 9², 11². The missing term is 9²=81.[reference:18]

This question belongs to: Reasoning Number Series

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