In a group of 100 cars, 37 cars do not have air conditioning. If at least 51 cars have racing stripes, what is the greatest number of cars that could have air conditioning but not racing stripes? Answers:  A) 45  B) 47  C) 48  D) 49  E) 53

Rationale: "lets assume ac = 63 ( includesonly ac carsandcars with ac and racing stripes ) lets assume rs ( racing stripes ) > = 51 ( includescars with ac and racing stripesandonly racing stripes ) . now since we want to maximize ( only ac ) we have to see to it thatcars with ac and racing stripesis minimal ( assume 0 ) but since rs > = 51 . . we have to assign atleast 14 tocars with ac and racing stripes . hence ac = 63 - 14 = 49 . the answer is d"
Answer: D