When the number 123456789 10111213 99100 is divided by 16 what will be the remainder ........

Quantitative Aptitude (CDS) Number System

When the number

(123456789 10111213 ... 99100) is divided by 16, what will be the remainder?

This questions was previously asked in

2024 CDS -1 MATH

- The number in question is a big concatenation: 12345678910111213...99100.

- We want remainder when this number is divided by 16.

- For divisibility by 16, only last four digits are important.

- The last part of the number is 99100 (number 99 and 100).

- So, the last four digits are 9100 (from "99100").

- Now, divide 9100 by 16:

9100 ÷ 16 = 568 remainder 12.

- So, correct option is:

Option:2, 12

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