Question 57

When a number is divided by 14, the remainder is 9. If the square of the same number is divided by 14, then the remainder will be:

Solution

Given, When the number is divided by 14, the remainder is 9

Let the number = 14k + 9

Square of the number = (14k + 9)$$^2$$

= 196k$$^2$$ + 252k + 81

= 196k$$^2$$ + 252k + 70 + 11

= 14(14k$$^2$$ + 18k + 5) + 11

= 14p + 11

$$\therefore\ $$When the square of the number is divided by 14, the remainder is 11

Hence, the correct answer is Option A

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