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. 102

B. 100

C. 104

D. 108

Answer: Option D

Solution (By JKExamLibrary)

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, 5, 9, 17, ?

A. 35

B. 31

C. 33

D. 29

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Correct Answer: Option C

Explanation:
Each term is obtained by multiplying by 2 and subtracting 1. (3×2)-1=5, (5×2)-1=9, (9×2)-1=17. The next term is (17×2)-1=33.

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? 6, 10, 16, 24, ?

A. 30

B. 34

C. 32

D. 36

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Correct Answer: Option B

Explanation:
The differences are: 4, 6, 8. These are increasing by 2. The next difference is 10. Therefore, 24+10=34.

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, 8, 16, 32, ?

A. 72

B. 56

C. 64

D. 48

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Correct Answer: Option C

Explanation:
Each term is multiplied by 2. Therefore, 32×2=64.

This question belongs to: Reasoning Number Series

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