In this task, you need to provide the correct option for a given problem from the provided options.

[EX Q]: Problem: set a consists of the integers from 4 to 15 , inclusive , while set b consists of the integers from 7 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ? 
Options: a ) 5 , b ) 7 , c ) 8 , d ) 9 , e ) 10
[EX A]: d

[EX Q]: Problem: how many positive integers w between 200 and 300 ( both inclusive ) are not divisible by 2 , 3 or 5 ? 
Options: a ) 3 , b ) 16 , c ) 75 , d ) 24 , e ) 26
[EX A]: e

[EX Q]: Problem: if all 6 are replaced by 9 , the algebric sum of all numbers from 1 to 100 ( both inclusive ) varies by , 
Options: a ) 980 , b ) 330 , c ) 660 , d ) 990 , e ) 300
[EX A]:
b

