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Of the 25 cars sold at a certain dealership yesterday, some [#permalink]
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Updated on: 20 Oct 2014, 02:19
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77% (00:49) correct 23% (00:41) wrong based on 656 sessions
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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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Originally posted by yangsta8 on 27 Sep 2009, 07:11.
Last edited by Bunuel on 20 Oct 2014, 02:19, edited 2 times in total.
Added the OA.



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Re: Of the 25 cars sold at a certain dealership yesterday, some [#permalink]
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27 Sep 2009, 08:03
E let A=all of the cars that had an automatic transmission.. B=all of the cars that had antilock brakes SI just tells us that B is a part of A...not suffi SII tells us AUB, which is set A itself is 23..not suffi combining two... still not sufficient as we require AB
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Re: Of the 25 cars sold at a certain dealership yesterday, some [#permalink]
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27 Sep 2009, 15:46
Thanks chetan2u was easier once I used a venn diagram too
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Re: Of the 25 cars sold at a certain dealership yesterday, some [#permalink]
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16 Oct 2009, 18:44
Diagram:
An NoA T ......... ___________ Auto _________ Man _________ T........_________
I hope that came out. If not: You need to make a box with 9 square so there are 3 rows, 3 columns. Label the columns as Antilock, No Antilock, and Total... and the rows at Automatic, Manual, and Total.
In the bottom right cube, fill in the total of 25 cars. This was given to you. Then, plug in numbers, and sum columns and rows. Here is how mine came out for this problem while looking to see if both statements together can work.
Row 1: 23x  x  23 Row 2: 0  2  2 Row 3: 23x  2+x  25



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Re: Of the 25 cars sold at a certain dealership yesterday, some [#permalink]
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16 Oct 2009, 19:41
we prolly dont need a diagram for this, reasoning would be easier than trying to draw a diagram  IMO
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Re: Of the 25 cars sold at a certain dealership yesterday, some [#permalink]
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30 Dec 2013, 02:28
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 a automatic transmission but not antilock brakes?
(1) all of the cars that had antilock brakes also had an automatic transmission (2) 2 of the cars had neither automatic transmission nor antilock 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 [ 12.25 KiB  Viewed 12662 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 [#permalink]
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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 antilock 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 [#permalink]
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20 Oct 2014, 02:24
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 antilock 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 [ 5.51 KiB  Viewed 10984 times ]
We need to find the value of yellow box, which is not possible from the info we have.
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Re: Of the 25 cars sold at a certain dealership yesterday, some [#permalink]
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06 Sep 2017, 23:18
From what we read, we have: bonly + tonly + both + neither = 25
(1) All of the cars that had antilock brakes also had automatic transmission. => bonly = 0 => tonly + both + neither = 25 Insuff.
(2) 2 of the cars had neither automatic transmission, nor antilock brakes. => neither = 0 => Insuff.
(1+2) => tonly + both = 25. Still insuff. So E is the answer.
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Re: Of the 25 cars sold at a certain dealership yesterday, some
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