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Question

Which of the following fractions is equal to 157?


A

(57)2

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B

(5+7)8

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C

(5+7)2

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D

(5+7)4

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Solution

The correct option is C

(5+7)2


Rationalizing the expression we get,
157=5+7(57)(5+7)

=5+7(5)2(7)2

=5+757
=(5+7)2


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