In a group of 100 cars, 47 cars do not have air conditioning. If at

Question

In a group of 100 cars, 47 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?

A) 45
B) 47
C) 49
D) 51
E) 53

Kudos for a correct  solution .

Source: GMATPrepNow

dominicraj · Answer

Hi,

The answer is C 49.

Lets assume AC=53(includes  only AC cars  and  cars with AC and racing stripes )

lets assume RS(racing stripes)>=51(includes  cars with AC and racing stripes  and  only racing stripes ).

Now since we want to maximize(only AC) we have to see to it that  cars with AC and racing stripes  is minimal(assume 0) But since RS>=51.. we have to assign atleast 4 to  cars with AC and racing stripes  .

Hence AC=53-4=49.

Regards,
Dom.

anudeep133 · Answer

Solution:  47 cars cannot have AC. So, 53 is maximum no. of cars that can have AC.
Minimum 51 cars have racing strips. 49 is the maximum no. of cars without racing strips.
Maximum no. of cars that can have AC without racing strips = minimum(53,49) = 49.

Option, C

kunal555 · Answer

51 cars have racing stripes. These cars may also include the cars which have both AC and stripes.
Total number of cars is 100.
To maximize the number of cars which only have AC, we must consider the number of cars which have neither AC nor racing stripes to be 0.
Thus the number of cars with only AC will be
100-51 =49

Answer:- C

TheKingInTheNorth · Answer

As per the question we fill the set with the following details ... 
group of 100 cars = total
47 cars do not have air conditioning.

If at least 51 cars have racing stripes = We give stripes car number 51 (because our aim to find Max AC car and not stripes .)
similarly we give not ac/not stripes = 0 ( because our aim to find Max AC car and not stripes .)

hence ans is 49 C

haree87 · Answer

And s (C) 49
See attachment. since non rs max can be only 49 we can say that 49 s the max AC cars with non rs tires

P.S SORRY FOR THE SHABBY WORK i am ANSWERING FROM MOBILE

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In a group of 100 cars, 47 cars do not have air conditioning. If at

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