Number System Practice Test 2

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Question : 20 of 40

Marks: +1, -0

Find the remainder when

15^100

is divided by 16.

3
14
1
15
None of these

Solution:

We know that

x^n-a^n

is divisible by

(x + a)

.
So,

(15^100-1^100)

is divisible by

(15 + 1) = 16

(15^100-1^100)

is divisible by 16.
So, if

15^100

is divided by 16 then the remainder = 1.

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