GATE 2016 EC (EC3) – Question 4

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 1 mark · Multiple choice

Which number least fits the set (324,441,97,64)?

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Correct answer: (C) 97; (D) 64

Explanation

Three entries are perfect squares: 324=$18^2$, 441=$21^2$ and 64=$8^2$.

The remaining number 97 lies between $9^2=81$ and $10^2=100$ and is not a perfect square. Thus the odd entry under the square-number property is **97, C**. The official key also accepts **D (64)**; 64 is the only perfect cube in the set. Both C and D remain accepted as alternative single choices, reflecting the ambiguity of an unspecified “least fits” rule.

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