Question Bank • QB_GA_092
MCQ • 1 Mark
Section 8: General Aptitude
Analytical & Spatial Aptitude
Subtopic: Logic Deduction & Pattern Recognition
Question Statement:
Find the next number in the sequence: $2, 6, 12, 20, 30, 42, ?$ :
Options:
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(A) 54
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(B) 56
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(C) 58
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(D) 60
Step-by-Step Solution & Explanation
The differences between consecutive terms are:
$6 - 2 = 4$
$12 - 6 = 6$
$20 - 12 = 8$
$30 - 20 = 10$
$42 - 30 = 12$
The next difference must be $14$, giving $42 + 14 = 56$.
(Alternatively, $n(n+1)$ for $n = 1, 2, 3, 4, 5, 6, 7 \implies 7 \times 8 = 56$).
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