Which is the smallest natural number which when added to the difference of square of $17$ and $13$ gives a perfect square?

1

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11

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24

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Solution

The correct option is A $1$
$17^{2}$ $-$ $13^{2}$ $=$ $289 - 169$ $=$ $120$
$121$ is a perfect square
So, $121$ $-$ $120$ $=$ $1$
Hence, option A is correct.

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