Number Series, Coding and DecodingMCQPYQ Nov. 18Question 2159 of 217
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Find odd man out of the following series 15,21,63,81,69\displaystyle 15, 21, 63, 81, 69.

Options

A15
B21
C63
D81
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Correct Answer

Option d81

All Options:

  • A15
  • B21
  • C63
  • D81

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Detailed Solution & Explanation

Let's analyze the properties of the numbers in the series 15,21,63,81,69\displaystyle 15, 21, 63, 81, 69:
- All the numbers are composite numbers divisible by 3\displaystyle 3:
15=3×515 = 3 \times 5
21=3×721 = 3 \times 7
63=3×2163 = 3 \times 21
81=3×2781 = 3 \times 27
69=3×2369 = 3 \times 23
- However, 81\displaystyle 81 is a perfect square (81=92\displaystyle 81 = 9^2), whereas all the other numbers (15,21,63,69\displaystyle 15, 21, 63, 69) are not perfect squares.

Therefore, 81\displaystyle 81 is the odd man out.

Hence, **Option D** 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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