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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