SSC CHSL 12 Oct 2020 Shift 2 Paper

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Question : 69 of 100

Marks: +1, -0

When

\left(77^{77}+77\right)

is divided by 78 , the remainder is

74
77
75
76

Solution:

Let

77=x

Then,

77^{77}+77=x^{x}+x

and

78=x+1

f(x)=x^{x}+x

Now, when

f(x)

is divided by

x+1

, then remainder is

f(-1)=(-1)^{-1}+(-1)

f(-1)=-2

Hence, remainder

=78-2=76

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