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Find the missing number in the following series: 4, 16, 8, 64, ?, 256

Paper 1 · Mathematical Reasoning and Aptitude
Find the missing number in the following series: 4, 16, 8, 64, ?, 256
A16 ✓ Correct
B24
C32
D20
Correct answer: (A) 16 — The missing number is 16, so that is the answer.
Explanation
The missing number is 16, so that is the answer.
The series pairs a base number with its square.
4 is followed by 4 squared, which is 16, then 8 is followed by 8 squared, which is 64.
The base numbers 4, 8 and then the next base double each time.
The next base is 16, so the missing term is 16.
It is then followed by 16 squared, which is 256.

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