What is the least number that must be subtracted from 4000 to get a perfect square?

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answer is D.

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Detailed Solution

The given number is 4000.
Performing long division for 4000,
Question Image

122 × 2 = 244 123 × 3 = 369

Subtracting the remainder from the dividend,
Remainder = 31.
4000 - 31 = 3969
Finding the square root of 3969,
Square root of 3969 = 63.
Hence, from 4000, the number that is subtracted to get a perfect square is 31.
Therefore, option 4 is correct.

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Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE