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Find the missing number in the following series: 13, 32, 24, 43, 35, ?, 46, 65,…

Paper 1 · Mathematical Reasoning and Aptitude
Find the missing number in the following series: 13, 32, 24, 43, 35, ?, 46, 65, 57, 76
A45
B52
C54 ✓ Correct
D55
Correct answer: (C) 54 — The missing number is 54, so that is the answer.
Explanation
The missing number is 54, so that is the answer.
The series interleaves two patterns in alternate positions.
The even-position terms are 32, 43, ?, 65, 76, each rising by 11.
The missing term is the sixth, which is an even position.
So it is 43 plus 11.
This gives 54.

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