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Numbers - General Aptitude

Q1:

How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?

A 8

B 11

C 12

D 13

E None of these

ANS:D - 13

Required numbers are 24, 30, 36, 42, ..., 96 This is an A.P. in which a = 24, d = 6 and l = 96 Let the number of terms in it be n. Then tn = 96    a + (n - 1)d = 96  24 + (n - 1) x 6 = 96  (n - 1) x 6 = 72  (n - 1) = 12  n = 13 Required number of numbers = 13.