- 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

# Find the number of numbers which are divisible by $7$ between $100$ and $1000$.

**Given:**Numbers from $100$ to $1000$.

**To do:**To find the number of numbers which are divisible by $7$ between $100$ and $1000$.

**Solution:**

The numbers between $100$ and $1000$ that are divisible by $7$ are,

$105,\ 112,\ 119,\ ............,994$ which form an A.P

Here we have:

First term $a=105$

Common difference $d=7$

Last term $a_n=994$

I.e., $a+(n−1)d=994$

$\Rightarrow 105+( n−1)( 7)=994$

$\Rightarrow 7( n−1)=994−105=889$

$\Rightarrow n−1=\frac{889}{7}=127$

$\therefore n=128$

$\therefore$ There are $128$ numbers are there between $100$ $1000$ which are divisible by $7$.

Advertisements