Which one of the following will replace the question mark? ? : 63 : : 5 : 124
Question and options
Which one of the following will replace the question mark?
? : 63 : : 5 : 124
? : 63 : : 5 : 124
- 3
- 6
- 4
- 8
Answer and explanation
Correct answer: C - 4
124 is 5 cubed minus 1, since 125 - 1 = 124. By the same rule the missing number must satisfy n cubed - 1 = 63, so n cubed = 64 and n = 4. Trying 8 fails because 8 squared is 64 but the rule uses cubes, not squares.
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CUSAT CAT Five-Year LL.B.
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