Cubes in an analogy — Aptitude Question
Cubes in an analogy: 4 : 64 :: 5 : ? Answer and worked solution on CodeKairo.
- Topic: Analogies & Classification
- Section: Logical Reasoning
- Difficulty: Easy
- Time target: 35 seconds
Question
4 : 64 :: 5 : ?
Options
- 25
- 125
- 150
- 625
Show the answer and the worked solution
Correct answer: B. 125
Worked solution
- 64 = 4³.
- 5³ = 125.
Answer: 125.
The idea
Find the power that takes the first number to the second and keep it: 4³ = 64, so 5³. The options 25 (5²) and 625 (5⁴) are there to catch a changed power.
Shortcut. 125 is the only perfect cube among the options, and 5³ = 125 matches 4³ = 64.
Common trap. 25 — squaring instead of cubing: 5² = 25 is offered precisely for the candidate who saw 64 as a square (8²) rather than as 4³.
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