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

Options:
A .  149
B .  150
C .  151
D .  166
Answer: Option B

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


  How Many 3 Digit Numbers Are Divisible By 6 In All ? 102 + (n - 1) x 6 = 996


  How Many 3 Digit Numbers Are Divisible By 6 In All ? 6 x (n - 1) = 894


  How Many 3 Digit Numbers Are Divisible By 6 In All ? (n - 1) = 149


  How Many 3 Digit Numbers Are Divisible By 6 In All ? n = 150.


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