How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?	Choose the correct choice from the following:
A) 13
B) 25
C) 87
D) 49
E) 63

Rationale: explanation : 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 . a )
Answer: A