TS ICET 23 May 2019 Shift 1 Paper

Question : 82 of 200

Marks: +1, -0

What is the remainder when

2^{45}

is divided by 5 ?

Solution:

The remainder when 16 is divided by 5 is 1

2^{45}=(2^{4})^{11} × 2=16^{11} × 2

The remainder when 245 is divided by 5 is

1^11 × 2= 2.

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