How many 3-digit numbers are completely divisible by 6 ?

A. 149

B. 150

C. 151

D. 166

Answer: Option B

Solution(By Examveda Team)

3-digit numbers divisible by 6 are 102, 108, 114 ..... , 996
This is an A.P. in which a = 102, d = 6 and T_n = 996
∴ T_n = a + (n - 1) d
⇒ 102 + (n - 1) × 6 = 996
⇒ (n - 1) × 6 = 894
⇒ (n - 1) = 149
⇒ n = 150