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Find the missing number in the following series: 1, 1, 4, 8, 9, 27, 16, ?

Paper 1 · Mathematical Reasoning and Aptitude
Find the missing number in the following series: 1, 1, 4, 8, 9, 27, 16, ?
A32
B64 ✓ Correct
C81
D256
Correct answer: (B) 64 — The missing number is 64, so that is the answer.
Explanation
The missing number is 64, so that is the answer.
The series interleaves two patterns in alternate positions.
The odd positions are 1, 4, 9, 16, which are the squares 1, 2, 3, 4 squared.
The even positions are 1, 8, 27, ?, which are the cubes 1, 2, 3 cubed.
The next cube is 4 cubed, which is 64.
So the missing term is 64.

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