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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 54979 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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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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yangsta8
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

Video solution by GMATinsight

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Hello from the GMAT Club BumpBot!

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