Find the odd man out of the series 5, 10, 17, 25

Option d: 25. Solution: Let's analyze the mathematical structure of the terms in the series: 5, 10, 17, 25. Each correct term follows the pattern n^2 + 1 for consecutive integers n >= 2: - For n = 2: 2^2 + 1 = 5 - For n = 3: 3^2 + 1 = 10 - For n = 4: 4^2 + 1 = 17 - For n = 5: 5^2 + 1 = 26 (the series lists 25, which is incorrect) The pattern of n^2 + 1 is violated by 25, which should be 26. Therefore, 25 is the odd man out. Hence, Option D is the correct answer.

Find the odd man out of the series $5, 10, 17, 25$

The correct answer is Option d: $25$. Let's analyze the mathematical structure of the terms in the series: $5, 10, 17, 25$. Each correct term follows the pattern $n^2 + 1$ for consecutive integers $n \ge 2$: - For $n = 2$: $2^2 + 1 = 5$ - For $n = 3$: $3^2 + 1 = 10$ - For $n = 4$: $4^2 + 1 = 17$ - For $n = 5$: $5^2 + 1 = 26$ (the series lists $25$, which is incorrect) The pattern of $n^2 + 1$ is violated by $25$, which should be $26$. Therefore, $25$ is the odd man out. Hence, **Option D** is the correct answer.

Number Series, Coding, Odd Man OutMTP May 19 Series IIQuestion 2178 of 217

All Questions

Find the odd man out of the series $\displaystyle 5, 10, 17, 25$

Options

\displaystyle 5

\displaystyle 10

\displaystyle 17

\displaystyle 25

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Correct Answer

✅ Option d — $\displaystyle 25$

All Options:

A $\displaystyle 5$
B $\displaystyle 10$
C $\displaystyle 17$
D $\displaystyle 25$

Detailed Solution & Explanation

Let's analyze the mathematical structure of the terms in the series:

\displaystyle 5, 10, 17, 25

.
Each correct term follows the pattern

\displaystyle n^2 + 1

for consecutive integers

\displaystyle n \ge 2

:
- For

\displaystyle n = 2

\displaystyle 2^2 + 1 = 5

- For

\displaystyle n = 3

\displaystyle 3^2 + 1 = 10

- For

\displaystyle n = 4

\displaystyle 4^2 + 1 = 17

- For

\displaystyle n = 5

\displaystyle 5^2 + 1 = 26

(the series lists

\displaystyle 25

, which is incorrect)

The pattern of

\displaystyle n^2 + 1

is violated by

\displaystyle 25

, which should be

\displaystyle 26

. Therefore,

\displaystyle 25

is the odd man out.

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

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Find the odd man out of the series 5,10,17,25\displaystyle 5, 10, 17, 255,10,17,25

Options

Correct Answer

All Options:

Detailed Solution & Explanation

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Find the odd man out of the series $\displaystyle 5, 10, 17, 25$