What will come in place of the question mark (?) in the following number series? 3, 12, 27, 48, 75, ? MCQ with Answer and Explanation

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What will come in place of the question mark (?) in the following number series? 3, 12, 27, 48, 75, ?

A. 108

B. 100

C. 102

D. 104

Answer: Option A

Solution (By JKSSB Mock Tests)

The pattern is: 3×1²=3, 3×2²=12, 3×3²=27, 3×4²=48, 3×5²=75. The next term is 3×6²=108.

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, 15, 31, ?

A. 67

B. 65

C. 61

D. 63

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Correct Answer: Option D

Explanation:
Each term is obtained by multiplying by 2 and adding 1. (3×2)+1=7, (7×2)+1=15, (15×2)+1=31. The next term is (31×2)+1=63.

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, 10, 14, 20, ?

A. 26

B. 32

C. 30

D. 28

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Correct Answer: Option D

Explanation:
The differences are: 2, 4, 6. These are increasing by 2. The next difference is 8. Therefore, 20+8=28.

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, 12, 24, 40, ?

A. 60

B. 72

C. 64

D. 56

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Correct Answer: Option A

Explanation:
The differences are: 8, 12, 16. These are increasing by 4. The next difference is 20. Therefore, 40+20=60.

This question belongs to: Reasoning Number Series

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