How many 3-digit numbers are completely divisible 6 ?

Question:
How many 3-digit numbers are completely divisible 6 ?

[A].

149

[B].

150

[C].

151

[D].

166

Answer: Option B

Explanation:

3-digit number divisible by 6 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 tn = 996.

a + (n – 1)d = 996

102 + (n – 1) x 6 = 996

6 x (n – 1) = 894

(n – 1) = 149

n = 150

Number of terms = 150.