Number Series, Coding, Odd Man OutMTP May 20Question 2182 of 217
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Find the wrong term of the series 121,143,165,186,209\displaystyle 121, 143, 165, 186, 209

Options

A143\displaystyle 143
B165\displaystyle 165
C186\displaystyle 186
D209\displaystyle 209
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Correct Answer

✅ Option c — 186\displaystyle 186

All Options:

  • A143\displaystyle 143
  • B165\displaystyle 165
  • C186\displaystyle 186
  • D209\displaystyle 209

Detailed Solution & Explanation

Let's calculate the differences between consecutive terms in the series:
- 143−121=22\displaystyle 143 - 121 = 22
- 165−143=22\displaystyle 165 - 143 = 22
- If the pattern of a constant difference of +22\displaystyle +22 continues:
- The next term should be 165+22=187\displaystyle 165 + 22 = 187.
- The term after that should be 187+22=209\displaystyle 187 + 22 = 209 (which is correct).

The series should form an arithmetic progression: 121,143,165,187,209\displaystyle 121, 143, 165, 187, 209. The term 186\displaystyle 186 violates this pattern and is the wrong term.

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

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