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Q.

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


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a

34

b

65

c

30

d

31 

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