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

Problem: the ratio of the two natural numbers is 5 : 6 . if a certain number is added to both the numbers , the ratio becomes 7 : 8 . if the larger number exceeds the smaller number by 10 , find the number added ? 
Options: a ) 17 , b ) 14 , c ) 10 , d ) 16 , e ) 20
c

Problem: each factor of 210 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 42 ? 
Options: a ) 1 / 16 , b ) 5 / 42 , c ) 1 / 8 , d ) 3 / 16 , e ) 1 / 4
c

Problem: what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 20 nor by 35 ? 
Options: a ) 567 , b ) 850 , c ) 560 , d ) 923 , e ) 240

d