How many even number in the range between 6 to 100 inclusive are not divisible by 3
Choose the correct option.
A) 15	B) 30	C) 32	D) 33	E) 46
We have to find the number of terms that are divisible by 2 but not by 6( as the question asks for the even numbers only which are not divisible by 3)   For 2,   6,8,10,12,14...100   using AP formula, we can say 100 = 10 + (n-1) *2   or n=48.   For 6,   6,12,18,...96   using AP formula, we can say 96 = 12 + (n-1) *6   or n=16.   Hence, only divisible by 2 but not 3 = 48-16= 
<gadget id="calculator">48-16</gadget>
<output>32</output>
32. hence, Answer 32
<result>C</result>
How many even number in the range between 6 to 100 inclusive are not divisible by 3