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

[EX Q]: Problem: what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 11 nor by 34 ? 
Options: a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945
[EX A]: b

[EX Q]: Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer e factors does 2 xy have ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
[EX A]: d

[EX Q]: Problem: what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 11 nor by 30 ? 
Options: a ) 884 , b ) 890 , c ) 892 , d ) 910 , e ) 945
[EX A]:
a