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Q.

Find how many 3-digit numbers are divisible by 6 in all?


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a

149

b

150

c

151

d

166  

answer is B.

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Detailed Solution

The 3-digit numbers divisible by 6 are 102,…,315,324,…,996.
The given series forms the AP.
nth term of an A.P. is calculated using, a n =a+ n−1 d… 1  
a=102, d=6, an=996
⇒996=102+ n−1 6   ⇒996−102= n−1 6   ⇒894= n−1 6   ⇒ n−1 = 894 6    ⇒n-1=149  ⇒n=149+1  ⇒n=150 Hence, the required answer is 150.
Therefore, option 2 is correct.
 
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Find how many 3-digit numbers are divisible by 6 in all?