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Find the odd one among: 49, 121, 169, 225, 289, 361

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225

121

361

answer is C.

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Detailed Solution

Concept- First, write all terms in the form of square roots. That is, 49 is described as

and

is described as

. Observe the difference in odd terms wherever the square root and where it differs.
Here you need to find an odd number among

. Follow the given order strictly.

In the above sequence, you can write various terms as follows:
$Question Image$ Therefore, the sequence looks like this:

you can see that the difference is 2 between all the terms in the sequence and the terms before it.
Question Image

Here we see that all differences are equal to 2 except for equal to 4.

Therefore, the odd term is

. Instead of

, so this is the correct sequence. This is the same as any other difference.
Hence, the correct answer is option is 3) .

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