Number Series, Coding and DecodingMCQPYQ Jan. 21Question 2167 of 217
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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

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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.

About This Chapter: Number Series, Coding and Decoding

Paper

Paper 3: Quantitative Aptitude

Weightage

5 Marks

Key Topics

Number series, Coding & Decoding, Odd man out

This chapter covers Number series, Coding & Decoding, Odd man out and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.

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