How many even number in the range between 15 to 100 inclusive are not divisible by 3 Pick:
A) 29  B) 30  C) 31  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,   16,18...100   using AP formula, we can say 100 = 16 + (n-1) *2   or n=43.   For 6,   18,...96   using AP formula, we can say 96 = 18 + (n-1) *6   or n=14.   Hence, only divisible by 2 but not 3 = 43-14= 
<gadget id="calculator">43-14</gadget>
<output>29</output>
29. hence, 29nswer 29
<result>A</result>
How many even number in the range between 15 to 100 inclusive are not divisible by 3