How many even number in the range between 20 to 100 inclusive are not divisible by 3	Choices:  A) 28  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,   20,22,24...100   using AP formula, we can say 100 = 20 + (n-1) *2   or n=41.   For 6,   24,36...96   using AP formu24la, we can say 96 = 24 + (n-1) *6   or n=13.   Hence, only divisible by 2 but not 3 = 41-13= 
<gadget id="calculator">41-13</gadget>
<output>28</output>
28. hence, 28nswer 28
<result>A</result>
How many even number in the range between 20 to 100 inclusive are not divisible by 3