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

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Of the 25 cars sold at a car dealership, some had auto [#permalink] New post 07 Sep 2010, 13:08
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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.
[Reveal] Spoiler: OA

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Re: DS question [#permalink] New post 07 Sep 2010, 13:22
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aiming4mba 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.


Total = {antilock} + {auto transmission} - {both} + {neither} --> 25 = {antilock} + {auto transmission} - {both} + {neither}.

Question: {auto transmission} - {both} = ?

(1) All of the cars that had antilock brakes also had auto transmission --> {antilock} = {both} --> 25 = {both} + {auto transmission} - {both} + {neither} --> 25 = {auto transmission} + {neither}. Not sufficient to calculate {auto transmission} - {both}

(2) 2 of the cars had neither auto transmission nor antilock brakes --> {neither} = 2. Not sufficient to calculate {auto transmission} - {both}.

(1)+(2) 25 = {auto transmission} + {neither} and {neither} = 2 --> {auto transmission} = 23, but we still don't know the numerical value of {antilock} (or {both}) to calculate {auto transmission} - {both}. Not sufficient.

Answer: E.

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Re: DS question [#permalink] New post 07 Sep 2010, 21:23
Now this one i am getting wrong....
Can some one explain where am i making mistake?

From statement 1, the table will form as shown in attachment...
So statement 1 alone is enough isnt it?? I know i have made some mistake as bunuel's answer is not matching with mine... but where did i make mistake?

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Re: DS question [#permalink] New post 07 Sep 2010, 21:26
OK sorry now understood... E is correct...
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Re: DS question [#permalink] New post 15 Oct 2010, 09:24
+1 E...good question..
Re: DS question   [#permalink] 15 Oct 2010, 09:24
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