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Find the missing number in the following series: 2/3, 4/7, ?, 11/21, 16/31

Paper 1 · Mathematical Reasoning and Aptitude
Find the missing number in the following series: 2/3, 4/7, ?, 11/21, 16/31
A10/8
B6/10
C5/10
D7/13 ✓ Correct
Correct answer: (D) 7/13 — The missing fraction is 7/13, so that is the answer.
Explanation
The missing fraction is 7/13, so that is the answer.
Treat the numerators and the denominators as separate series.
The numerators are 2, 4, ?, 11, 16, whose differences are 2, 3, 4, 5.
So the missing numerator is 4 plus 3, which is 7.
The denominators are 3, 7, ?, 21, 31, whose differences are 4, 6, 8, 10.
So the missing denominator is 7 plus 6, which is 13, giving 7/13.

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