- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Without performing actual division, find the remainder when 928174653 is divided by 11.

Given:

928174653 is divided by 11.

To do:

We have to find the remainder when 928174653 is divided by 11.

Solution:

We know that,

A number is divisible by 11 if the difference of the sum of its alternate digits is 0 or divisible by 11.

Here,

In the number 928174653,

The difference of the sum of its alternate digits is $(9+8+7+6+3)-(2+1+4+5)=33-12=21$.

Therefore,

When 928174653 is divided by 11, then the remainder is $21-11=10$.

Advertisements