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Question

Find the least number which must be added to 18, 265 to obtain a perfect square.


A

232

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B

231

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C

237

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D

233

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Solution

The correct option is B

231


Use long division to find the closest square root.

Clearly, 18265 is greater than 1352

We need to add a number to 18265, such that the resultant is the square of 136.

i.e., 1362=18496

So, required number = 18496 - 18265 = 231


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