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When the number (12345678910111213…99100) is divided by 16, what will be the remainder?
Question

When the number (12345678910111213…99100) is divided by 16, what will be the remainder?

A.

15

B.

12

C.

4

D.

3

Correct option is B

Given:

Number = 12345678910111213 ... 99100

Concept Used:

To find the remainder when a number is divided by 16, we only need to consider the last 4 digits of the number.

Solution:

The number ends with "99100".

Last 4 digits = 9100

=> 9100 mod 16

=> 9100 ÷ 16 = 568 remainder 12

=> 9100 = 568 × 16 + 12

=> Remainder = 12

Hence, the remainder when the number is divided by 16 is 12.

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