What will come in place of the question mark (?) in the following number series? 2, 6, 12, 20, 30, 42, ? MCQ with Answer and Explanation

What will come in place of the question mark (?) in the following number series? 2, 6, 12, 20, 30, 42, ?
A. 50
B. 54
C. 52
D. 56
Answer: Option D
Solution (By JKExamLibrary)
The differences between consecutive terms are: 4, 6, 8, 10, 12. These are consecutive even numbers. The next difference should be 14. Therefore, the next term is 42+14=56.[reference:6]

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Practice More Number Series Questions

Question #1
What will come in place of the question mark (?) in the following number series? 3, 10, 21, 36, ?
A. 53
B. 51
C. 57
D. 55

Correct Answer: Option D


Explanation:
The differences are: 7, 11, 15. These are increasing by 4. The next difference is 19. Therefore, 36+19=55.

This question belongs to: Reasoning Number Series
Question #2
What will come in place of the question mark (?) in the following number series? 3, 7, 15, 31, ?
A. 63
B. 61
C. 67
D. 65

Correct Answer: Option A


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 #3
What will come in place of the question mark (?) in the following number series? 2, 10, 30, 68, 130, ?
A. 220
B. 200
C. 210
D. 222

Correct Answer: Option D


Explanation:
The pattern is: 1³+1=2, 2³+2=10, 3³+3=30, 4³+4=68, 5³+5=130. The next term is 6³+6=222.

This question belongs to: Reasoning Number Series