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Of the 25 cars sold at a car dealership, some had auto trans

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by BTGmoderatorDC » Mon Mar 18, 2019 6:03 am

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Of the 25 cars sold at a car dealership, some had auto transmission and some had antilock brakes. How many of the cars had auto transmission but not antilock brakes?

(1) All of the cars that had antilock brakes also had auto transmission
(2) 2 of the cars had neither auto transmission nor antilock brakes.

OA E

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Source: — Data Sufficiency |

by GMATGuruNY » Mon Mar 18, 2019 6:11 am
BTGmoderatorDC wrote:Of the 25 cars sold at a car dealership, some had auto transmission and some had antilock brakes. How many of the cars had auto transmission but not antilock brakes?

(1) All of the cars that had antilock brakes also had auto transmission
(2) 2 of the cars had neither auto transmission nor antilock brakes.
The following cases satisfy both statements:

Case 1:
2 cars have neither
1 car has both antilock breaks and automatic transmission
22 cars have only automatic transmission.

Case 2:
2 cars have neither
22 cars have both antilock breaks and automatic transmission
1 car has only automatic transmission.

Since the number of cars that have only automatic transmission can be different values, the two statements combined are INSUFFICIENT.

The correct answer is E.
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