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Q.

Which of the following numbers need to be subtracted from 176 to make it a perfect square?


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a

16

b

10

c

7

d

4 

answer is C.

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Detailed Solution

It is given that a number is subtracted from 176 to make it a perfect square.
A number whose square root is a whole number is called the perfect square. Numbers ending with 2, 3, 7, and 8 are not the perfect square.
The nearest square root of the 176 is 13 which is the square root of 169.
Hence, to convert the given number into a perfect square, 176−169=7 need to be subtracted.
Thus, option (3) is correct.
 
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