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16 : 64 :: 40 : ?

  • A.4
  • B.40
  • C.400
  • D.4000

Answer: C

The missing number is 400.

The rule linking 16 and 64 is: square the number and divide by 4. 162 = 256 and 256/4 = 64. Applying the same rule to 40: 402 = 1600, and 1600/4 = 400.

A simple multiplication by 4 would give 160, which is not offered, so the pair must be read through the squaring rule. 4 and 40 make the second term smaller than or equal to the first, and 4000 overshoots by a factor of ten.

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