How many 3 digit numbers are divisible by 6 in all ?

Question:
How many 3 digit numbers are divisible by 6 in all ?

[A].

149

[B].

150

[C].

151

[D].

166

Answer: Option B

Explanation:

Required numbers are 102, 108, 114, … , 996

This is an A.P. in which a = 102, d = 6 and l = 996

Let the number of terms be n. Then,

a + (n – 1)d = 996

   102 + (n – 1) x 6 = 996

   6 x (n – 1) = 894

   (n – 1) = 149

   n = 150.