Question

Find the number of 3 digit natural numbers which are divisible by 6

Answer 1

Step-by-step explanation:

Three digit numbers divisible by 6 = 102, 108, .....996

To calculate the number of terms divisible by 6 we use Arithmetic Progression:

Formula: a + (n - 1)d = l

a = 102, d = 6, l = 996.

102 + (n - 1)6 = 996.

6n - 6 = 996 - 102 = 894.

6n = 900.

n = 900/6 = 150.

There are 150 three digit numbers are divisible by 6.

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