1 : 8 :: ? : 64

Question

1 : 8 :: ? : 64

Accepted Answer

This is a numerical analogy involving powers. Ideally, one expects a pattern like n : n³, because 8 and 64 are perfect cubes. If we treat 8 as 2³ and 64 as 4³, the right side clearly represents the cube of an integer. Among the answer options, only 27 is a perfect cube, namely 3³. The exam key matches 27 to 64 by using the idea "number whose cube is structurally similar in the analogy set", even though the left pair 1:8 is unusual because 1³ = 1. In exam practice, the test-taker must pick the only cube from the options to maintain a consistent cube-based pattern, which is 27.

Numbers

1 : 8 :: ? : 64