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Of the 25 cars sold at a certain dealership yesterday, some had automa

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yangsta8
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Of the 25 cars sold at a certain dealership yesterday, some had automa [#permalink] New post   Updated on: 05 Jun 2019, 03:31
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Of the 25 cars sold at a certain dealership yesterday, some had automatic transmission and some had antilock brakes. How many of the cars had automatic transmission but not antilock brakes?

(1) All of the cars that had antilock brakes also had automatic transmission.

(2) 2 of the cars had neither automatic transmission, nor antilock brakes.
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E

Originally posted by yangsta8 on 27 Sep 2009, 07:11.
Last edited by Bunuel on 05 Jun 2019, 03:31, edited 3 times in total.
Added the OA.
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Re: Of the 25 cars sold at a certain dealership yesterday, some had automa [#permalink] New post   20 Oct 2014, 02:24
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angelfire213 wrote:
Of the 25 cars sold at a certain dealership yesterday, some had automatic transmission and some had antilock brakes. How many of the cars had automatic transmission but not antilock brakes?

(1) All of the cars that had antilock brakes also had automatic transmission.

(2) 2 of the cars had neither automatic transmission, nor antilock brakes.

sigh, lots of questions today.

Can someone explain this to me.
If
1. ALL the cars that had antilock also had automatic trans.. and
2. 2 of the cars had neither auto nor anti lock

Does that not mean that 23 cars had anti-lock in which case 23 cars also had auto...and thus filling in all the boxes, this would be solvable?


No. All of the cars that had antilock brakes also had automatic transmission means that 0 cars have antilock brakes but no automatic transmission. Check the matric below:
Attachment:
Untitled.png
Untitled.png [ 5.51 KiB | Viewed 51673 times ]
We need to find the value of yellow box, which is not possible from the info we have.
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Re: DS question [#permalink] New post   07 Sep 2010, 14:22
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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: Of the 25 cars sold at a certain dealership yesterday, some had automa [#permalink] New post   30 Dec 2013, 02:28
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yangsta8 wrote:
Of the 25 cars sold at a certain dealership yesterday, some had automatic transmission and some had anti-lock brakes. How many of the cars had a automatic transmission but not antilock brakes?

(1) all of the cars that had anti-lock brakes also had an automatic transmission
(2) 2 of the cars had neither automatic transmission nor anti-lock brakes

I got the answer right but it took me quite a while was wondering if anyone had a suggestion of using tables, venn diagram etc?



Attachment:
untitled.PNG
untitled.PNG [ 12.25 KiB | Viewed 51495 times ]


Look at the attachment above .

ALB: Anti Lock Brakes
NALB: No Anti Lock Brakes
AT: Automatic Transmission
NAT: No Automatic Transmission

We need to find the value of x ie.


With given data we can only find x+y =23 but not x.

Hence Answer is E
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Re: Of the 25 cars sold at a certain dealership yesterday, some had automa [#permalink] New post   19 Oct 2014, 16:21
sigh, lots of questions today.

Can someone explain this to me.
If
1. ALL the cars that had antilock also had automatic trans.. and
2. 2 of the cars had neither auto nor anti lock

Does that not mean that 23 cars had anti-lock in which case 23 cars also had auto...and thus filling in all the boxes, this would be solvable?
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Re: Of the 25 cars sold at a certain dealership yesterday, some had automa [#permalink] New post   07 Apr 2021, 21:21
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yangsta8 wrote:
Of the 25 cars sold at a certain dealership yesterday, some had automatic transmission and some had antilock brakes. How many of the cars had automatic transmission but not antilock brakes?

(1) All of the cars that had antilock brakes also had automatic transmission.

(2) 2 of the cars had neither automatic transmission, nor antilock brakes.


Answer: Option E

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Re: Of the 25 cars sold at a certain dealership yesterday, some had automa [#permalink] New post   24 Mar 2024, 06:39
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Re: Of the 25 cars sold at a certain dealership yesterday, some had automa [#permalink]
24 Mar 2024, 06:39
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