The value of $(249)^{2} - (248)^{2}$ is
(a) $1^{2}$ (b) $477$ (c) $487$ (d) $497$

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Solution

Correct option is (d) $497$
$(249)^{2} - (248)^{2}$
We know
$a^{2} - b^{2} = (a + b) (a - b)$
So, $(249)^{2} - (248)^{2} = (249 - 248) (249 + 248) = 497$

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249^{2} - 248^{2}

1^{2}

477

487

497

249^{2} - 248^{2}

1^{2}

477

487

497

The value of 249² – 248² is
(a) 1
(b) 477
(c) 487
(d) 497

249^{2} - 248^{2}

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