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Question

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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