Number Series, Coding, Odd Man OutPYQ 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 a — 95

All Options:

  • A95
  • B83
  • C71
  • D53

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:
- 43−41=2\displaystyle 43 - 41 = 2
- 47−43=4\displaystyle 47 - 43 = 4
- 53−47=6\displaystyle 53 - 47 = 6
- 61−53=8\displaystyle 61 - 53 = 8
- 71−61=10\displaystyle 71 - 61 = 10
- 83−71=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.

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