How many even number in the range between 25 to 100 inclusive are not divisible by 3
Choose the correct choice.
A) 27  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,   26,28,30...100   using AP formula, we can say 100 = 10 + (n-1) *2   or n=38.   For 6,   36, 42,...96   using AP formula, we can say 96 = 12 + (n-1) *6   or n=11.   Hence, only divisible by 2 but not 3 = 38-11= 
<gadget id="calculator">38-11</gadget>
<output>27</output>
27. hence, 27nswer 27
<result>A</result>
How many even number in the range between 25 to 100 inclusive are not divisible by 3