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Find the missing number in the following series: 512, 256, 128, ?, 32, 16, 8

Paper 1 · Mathematical Reasoning and Aptitude
Find the missing number in the following series: 512, 256, 128, ?, 32, 16, 8
A52
B61
C64 ✓ Correct
D56
Correct answer: (C) 64 — The missing number is 64, so that is the answer.
Explanation
The missing number is 64, so that is the answer.
Look at how each term relates to the one before it.
Each term is exactly half of the previous term.
512 halved is 256, and 256 halved is 128.
So the term after 128 is 128 divided by 2, which is 64.
This fits, since 64 halved gives the next term 32.

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