How many even number in the range between 10 to 150 inclusive are not divisible by 3
Answers
A) 15	B) 30	C) 31	D) 33	E) 47
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...150   using AP formula, we can say 150 = 10 + (n-1) *2   or n=71.   For 6,   12,18,...96   using AP formula, we can say 150 = 12 + (n-1) *6   or n=24.   Hence, only divisible by 2 but not 3 = 71-24= 
<gadget id="calculator">71-24</gadget>
<output>47</output>
47. hence, Answer 47
<result>E</result>
How many even number in the range between 10 to 150 inclusive are not divisible by 3