EPFO 2017 English Medium Solved Paper

Question : 110 of 121

Marks: +1, -0

Suppose, the remainder obtained while dividing

x

by 61 is 2. What is the remainder obtained while dividing

x^{7}

by 61?

Solution:

\Let, x = 4\and \we \divide x \by 3.

So,

4/3⇒\remainder = 1

(4)^{2}/3

⇒

(4)^{3}/3

⇒

\remainder = 1

(4)^{7}/3

⇒

\remainder = 1

We see that in all the cases remainder remains the same.

∴ x^{7}

is divided by 61, remainder obtained same.

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