Q. 254.7( 3 Votes )

Find the number of all positive integers of 3 digits which are divisible by 5.

Answer :

The list of 3 digit numbers divisible by 5 is:


100, 105, 110,…,995


Here a = 100, d = 105 – 100 = 5, an = 995


We know that


an = a + (n – 1)d


995 = 100 + (n – 1)5


895 = (n – 1)5


179 = n – 1


180 = n


So, there are 180 three– digit numbers divisible by 5.


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