Question

The number of 3 -digit natural numbers which are divisible by 11 is?

Answer 1

Answer:

there are 89 number of3 -digit natural numbers which are divisible by 11

Step-by-step explanation:

First three digit number divisible by 11 =110

Last three digit number divisible by 11.=990

The required numbers form an AP with a common difference of 11

If the total numbers are = n

Then

990=110+(n-1)×11

(n-1)×11=990–110=880

Hence n-1=880/11=88

And n=88+1=89

Hence there are 89 three digit numbers divisible by 11.