Number Series, Coding and DecodingMCQPYQ Jun 23Question 2170 of 217
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Find odd one 41,43,47,53,61,71,83,95\displaystyle 41, 43, 47, 53, 61, 71, 83, 95.

Options

A95
B83
C71
D53
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Correct Answer

Option a95

All Options:

  • A95
  • B83
  • C71
  • D53

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Detailed Solution & Explanation

Let's analyze the numbers in the series:
- The numbers 41,43,47,53,61,71,83\displaystyle 41, 43, 47, 53, 61, 71, 83 are all **prime numbers**.
- 95\displaystyle 95 is a **composite number** (95=5×19\displaystyle 95 = 5 \times 19).

Alternatively, let's examine the differences between consecutive terms:
- 4341=2\displaystyle 43 - 41 = 2
- 4743=4\displaystyle 47 - 43 = 4
- 5347=6\displaystyle 53 - 47 = 6
- 6153=8\displaystyle 61 - 53 = 8
- 7161=10\displaystyle 71 - 61 = 10
- 8371=12\displaystyle 83 - 71 = 12
Following this sequence of consecutive even differences (+2,+4,+6,+8,+10,+12,+14\displaystyle +2, +4, +6, +8, +10, +12, +14), the next term should be:
83+14=9783 + 14 = 97
The term 95\displaystyle 95 violates both the prime number pattern and the difference progression pattern. Therefore, 95\displaystyle 95 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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