Number Series, Coding, Odd Man OutMTP May 18Question 2176 of 217
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Find the odd man out of the series 16,25,36,72,144,196,225\displaystyle 16, 25, 36, 72, 144, 196, 225

Options

A36\displaystyle 36
B72\displaystyle 72
C196\displaystyle 196
D225\displaystyle 225
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Correct Answer

✅ Option b — 72\displaystyle 72

All Options:

  • A36\displaystyle 36
  • B72\displaystyle 72
  • C196\displaystyle 196
  • D225\displaystyle 225

Detailed Solution & Explanation

Let's check the perfect square property for each number in the series:
- 16=42\displaystyle 16 = 4^2
- 25=52\displaystyle 25 = 5^2
- 36=62\displaystyle 36 = 6^2
- 144=122\displaystyle 144 = 12^2
- 196=142\displaystyle 196 = 14^2
- 225=152\displaystyle 225 = 15^2
- 72\displaystyle 72 is not a perfect square (82=64\displaystyle 8^2 = 64 and 92=81\displaystyle 9^2 = 81).

Since 72\displaystyle 72 is the only number in the series that is not a perfect square, it is the odd man out.

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

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