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Question

If xxyy is a perfect square then x + y =?


A

9

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B

10

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C

11

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D

12

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Solution

The correct option is C

11


xxyy = xx00 + yy = 11(x00 + y) = 11(x0y)

xxyy is a perfect square, so if one divisor is 11, then there should be one more 11 to get 112.

As xxyy = 11(x0y), x0y should be divisible by 11, so x + y has to 11.


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