Question

The number of times the digit '5' will be written while listing the integers from 1 to 1000 is

• A. $271$
• B. $272$
• C. $300$
• D. $285$

Answer 1

The correct option is C $300$

To find the number of times the digit '5' will be written while listing the integers from 1 to 1000
Integers from 1 to 1000 contain 1 digit number
2 digit number and 3 digit number
In 1 digit number $={10}^2$
In 2 digit number $={10}^2$
In 3 digit number $={10}^2$

Hence , Total $=[{10}^2+{10}^2+{10}^2]$

$=[100+100+100]$
$=300$