The smallest number that should be added to 8212 to obtain a perfect square is ........

Quantitative Aptitude (CPO) Number System

The smallest number that should be added to 8212 to obtain a perfect square is:

This questions was previously asked in

SSC CPO 15th-March-2019-Shift-2

123

112

- To solve the problem, find the smallest number to add to 8212 for a perfect square.

- Calculate the square root of 8212, which is approximately 90.6.

- The next integer greater than 90.6 is 91.

- The square of 91 is 8281.

- Subtract 8212 from 8281 to find the difference.

- The difference is 8281 - 8212 = 69.

- Option 1: 123; 8212 + 123 = 8335, not a perfect square.

- Option 2: 69 ; 8212 + 69 = 8281, perfect square of 91.

- Option 3: 54; 8212 + 54 = 8266, not a perfect square.

- Option 4: 112; 8212 + 112 = 8324, not a perfect square.

ANSWER: Option 2 - 69

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