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

Problem: the h . c . f . of two numbers is 10 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : 
Options: a ) 100 , b ) 120 , c ) 180 , d ) 140 , e ) 60
d

Problem: of the 55 cars on a car lot , 40 have air - conditioning , 25 have power windows , and 12 have both air - conditioning and power windows . how many of the cars on the lot have neither air - conditioning nor power windows ? 
Options: a ) 15 , b ) 8 , c ) 10 , d ) 2 , e ) 18
d

Problem: what is the number of integers from 1 to 500 ( inclusive ) that are divisible by neither 10 nor by 15 ? 
Options: a ) 170 , b ) 250 , c ) 300 , d ) 560 , e ) 420

e