Number Series, Coding and DecodingMCQMTP May 19 Series IIQuestion 2178 of 217
All Questions

Find the odd man out of the series 5,10,17,25\displaystyle 5, 10, 17, 25

Options

A5\displaystyle 5
B10\displaystyle 10
C17\displaystyle 17
D25\displaystyle 25
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Correct Answer

Option d25\displaystyle 25

All Options:

  • A5\displaystyle 5
  • B10\displaystyle 10
  • C17\displaystyle 17
  • D25\displaystyle 25

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Detailed Solution & Explanation

Let's analyze the mathematical structure of the terms in the series: 5,10,17,25\displaystyle 5, 10, 17, 25.
Each correct term follows the pattern n2+1\displaystyle n^2 + 1 for consecutive integers n2\displaystyle n \ge 2:
- For n=2\displaystyle n = 2: 22+1=5\displaystyle 2^2 + 1 = 5
- For n=3\displaystyle n = 3: 32+1=10\displaystyle 3^2 + 1 = 10
- For n=4\displaystyle n = 4: 42+1=17\displaystyle 4^2 + 1 = 17
- For n=5\displaystyle n = 5: 52+1=26\displaystyle 5^2 + 1 = 26 (the series lists 25\displaystyle 25, which is incorrect)

The pattern of n2+1\displaystyle n^2 + 1 is violated by 25\displaystyle 25, which should be 26\displaystyle 26. Therefore, 25\displaystyle 25 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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