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Question

How many 3-digit numbers are completely divisible 6 ?


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

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.

 How Many 3-digit Numbers Are Completely Divisible 6 ?  a + (n - 1)d = 996

 How Many 3-digit Numbers Are Completely Divisible 6 ?  102 + (n - 1) x 6 = 996

 How Many 3-digit Numbers Are Completely Divisible 6 ?  6 x (n - 1) = 894

 How Many 3-digit Numbers Are Completely Divisible 6 ?  (n - 1) = 149

 How Many 3-digit Numbers Are Completely Divisible 6 ?  n = 150

 How Many 3-digit Numbers Are Completely Divisible 6 ?  Number of terms = 150.



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