Number Series, Coding, Odd Man OutPYQ Nov. 19Question 2165 of 217
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Find the odd one out: 1,5,14,30,49,55,91\displaystyle 1, 5, 14, 30, 49, 55, 91.

Options

A49
B30
C55
D91
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Correct Answer

✅ Option a — 49

All Options:

  • A49
  • B30
  • C55
  • D91

Detailed Solution & Explanation

Let's analyze the difference between consecutive terms in the series:
- 5−1=4=22\displaystyle 5 - 1 = 4 = 2^2
- 14−5=9=32\displaystyle 14 - 5 = 9 = 3^2
- 30−14=16=42\displaystyle 30 - 14 = 16 = 4^2
- Following the pattern of adding consecutive squares (22,32,42,52,62\displaystyle 2^2, 3^2, 4^2, 5^2, 6^2):
- The next term should be 30+52=30+25=55\displaystyle 30 + 5^2 = 30 + 25 = 55.
- The term after that should be 55+62=55+36=91\displaystyle 55 + 6^2 = 55 + 36 = 91.

The correct series consists of the square pyramidal numbers 1,5,14,30,55,91\displaystyle 1, 5, 14, 30, 55, 91. The number 49\displaystyle 49 does not belong in this series and is the odd man out.

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

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