Q. 264.8( 10 Votes )

How many three digit numbers are divisible by 7.

Answer :

The list of 3 digit numbers divisible by 7 is:


105, 112, 119,…,994


Here a = 105, d = 112 – 105 = 7, an = 994


We know that


an = a + (n – 1)d


994 = 105 + (n – 1)7


889 = (n – 1)7


127 = n – 1


128 = n


So, there are 128 three– digit numbers divisible by 7.


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