Number Series, Coding, Odd Man OutMTP May 19 Series IIQuestion 2179 of 217
All Questions

Find odd one out of the series 7,9,11,12,14,15\displaystyle 7, 9, 11, 12, 14, 15

Options

A15\displaystyle 15
B14\displaystyle 14
C9\displaystyle 9
D7\displaystyle 7
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Correct Answer

✅ Option d — 7\displaystyle 7

All Options:

  • A15\displaystyle 15
  • B14\displaystyle 14
  • C9\displaystyle 9
  • D7\displaystyle 7

Detailed Solution & Explanation

Let's analyze the differences between consecutive terms in the series: 7,9,11,12,14,15\displaystyle 7, 9, 11, 12, 14, 15.
If we start the series at 8\displaystyle 8 instead of 7\displaystyle 7, the differences become alternatingly +1\displaystyle +1 and +2\displaystyle +2:
- 9−8=+1\displaystyle 9 - 8 = +1
- 11−9=+2\displaystyle 11 - 9 = +2
- 12−11=+1\displaystyle 12 - 11 = +1
- 14−12=+2\displaystyle 14 - 12 = +2
- 15−14=+1\displaystyle 15 - 14 = +1

This alternating pattern of differences (+1,+2,+1,+2,+1\displaystyle +1, +2, +1, +2, +1) is perfectly consistent and establishes 7\displaystyle 7 as the odd term (which should be 8\displaystyle 8).

Hence, **Option D** is the correct answer.

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