Question

How many three-digit numbers are divisible by 2,3 or 5? plEASe helP I aM DeSpeRatE

GIVE ME THE RIGHT ANSWER

Answer 1

Answer: 30

Explanation:

Divisible by 2,3 and 5 means divisible by 2*3*5=30

So we require to calculate number of multiples of 30 in the range 100 to 999.

The least 3 digit number divisible by 30 is 120 and greatest is 990.

This is an AP series with common difference 30.

First number is 120 and n'th number is 990.

We need to find n.

Using the AP series formula

120 + (n-1)*30= 990

or n= 30

There are 30 3-digit numbers divisible by 2,3 and 5.

Answer 2

30

Explanation:

- A number is divisible by 2 if its last digit is 2, 4, 6, 8 or 0

- A number is divisible by 3 if ist sum of digits is divisible by 3.

- A number is divisible by 5 if its last digit is a 5 or a 0.

_

The least 3 digit number divisible by 30 is 120 and the greatest is 990.