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Numbers - General Aptitude

Q1:

How many 3-digit numbers are completely divisible 6 ?

A 149

B 150

C 151

D 166

ANS:B - 150

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.  a + (n - 1)d = 996  102 + (n - 1) x 6 = 996  6 x (n - 1) = 894  (n - 1) = 149  n = 150  Number of terms = 150.