How many positive integers, from 2 to 100, inclusive, are not divisible by even integers greater than 1? Choose one:
A) 5
B) 6
C) 8
D) 10
E) 50
The no will be of the form 2^n to achieve this. Since any other form will have odd no in the prime factorization.   Hence we need to find solution of n for equation - 1&lt; 2^n &lt; 101.   2^6 = 64, 2^7 - 128   Hence n can take values from 1 to 6.   Hence Ans- (6) 6
<result>B</result>
How many positive integers, from 2 to 100, inclusive, are not divisible by even integers greater than 1?