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

[Q]: Problem: a certain bag contains 100 balls 50 white , 30 green , 10 yellow , 7 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ?
Options: a ) 0.9 , b ) 0.75 , c ) 0.6 , d ) 0.8 , e ) 0.5
[A]: a

[Q]: Problem: the ratio of buses to cars on river road is 1 to 13 . if there are 60 fewer buses than cars on river road , how many cars are on river road ?
Options: a ) 65 , b ) 60 , c ) 55 , d ) 40 , e ) 45
[A]: a

[Q]: Problem: the h . c . f . of two numbers is 25 and the other two factors of their l . c . m . are 14 and 16 . the larger of the two numbers is
Options: a ) 276 , b ) 299 , c ) 312 , d ) 400 , e ) none
[A]:
d