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Division Method

Find the leas...

Question

Find the least number that must be subtracted from 2037 so that the resulting number is a perfect square.

A

15

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B

12

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C

18

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D

17

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Solution

The correct option is B
12

Finding square root of 2037 using long division method.

We can observe that 12 is the remainder.

Hence, if 12 is subtracted from 2037, the resultant will be a perfect square.

$∴ 2037 - 12 = 2035 a n d \sqrt{2035} = 45$

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