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GATE CS 2024 Set 2 — Question 5

MCQ+1 / -0.33EasySeriesQuantitative AptitudeGeneral Aptitude

General Aptitude → Quantitative Aptitude → Series

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Question

In the sequence 6, 9, 14, xx, 30, 41, a possible value of xx is
A.
25
B.
21
C.
18
D.
20

Correct answer

(B) 21

Solution

Let's analyze the differences between consecutive terms in the sequence:
9−6=39 - 6 = 3
14−9=514 - 9 = 5The differences are increasing odd numbers: 3, 5, ...
Assuming the pattern continues with the next odd numbers 7, 9, 11:
x−14=7  ⟹  x=21x - 14 = 7 \implies x = 21
30−x=30−21=930 - x = 30 - 21 = 9 (Matches)
41−30=1141 - 30 = 11 (Matches)
The sequence of differences is 3, 5, 7, 9, 11.
Thus, x=21x = 21.

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