How many 3-digit numbers are completely divisible by 6 ?
Options:
A . 149
B . 150
C . 151
D . 166
Answer: Option B 3-digit numbers divisible by 6 are 102, 108, 114 ..... , 996 This is an A.P. in which a = 102, d = 6 and Tn = 996 ∴ Tn = a + (n - 1) d ⇒ 102 + (n - 1) × 6 = 996 ⇒ (n - 1) × 6 = 894 ⇒ (n - 1) = 149 ⇒ n = 150
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