How many even number in the range between 10 to 160 inclusive are not divisible by 3	Options
A) 15  B) 30  C) 51  D) 63  E) 76
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,   10,12,14...160   using AP formula, we can say 160 = 10 + (n-1) *2   or n=76.   For 6,   12,18,...156   using AP formula, we can say 156 = 12 + (n-1) *6   or n=25.   Hence, only divisible by 2 but not 3 =76-25= 
<gadget id="calculator">76-25</gadget>
<output>51</output>
51. hence, Answer 51
<result>C</result>
How many even number in the range between 10 to 160 inclusive are not divisible by 3