Number Series, Coding, Odd Man OutPYQ Jan. 21Question 2167 of 217
All Questions

Find out the odd man out in the Sequence 8,25,64,125,216\displaystyle 8, 25, 64, 125, 216.

Options

A25
B64
C125
D216
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Correct Answer

✅ Option a — 25

All Options:

  • A25
  • B64
  • C125
  • D216

Detailed Solution & Explanation

Let's analyze the mathematical properties of the numbers in the sequence:
- 8=23\displaystyle 8 = 2^3 (a perfect cube)
- 64=43\displaystyle 64 = 4^3 (a perfect cube)
- 125=53\displaystyle 125 = 5^3 (a perfect cube)
- 216=63\displaystyle 216 = 6^3 (a perfect cube)
- 25=52\displaystyle 25 = 5^2 (a perfect square, but not a perfect cube)

Since 25\displaystyle 25 is the only number in the sequence that is not a perfect cube, it is the odd man out.

Hence, **Option A** is the correct answer.

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