Ds Cars

Question

There are 31 white cars, 17 blue cars and 12 red cars. The models are large size, middle size and small size. How many white cars are there with large size.

 A) The large size models have no blue and red cars;

 B) large size cars are more than middle size and small size cars.

Dookie · Answer

I pick C.

From statement 1, All Large cars must be White.
Insufficient.

From statement 2, Large > Medium + Small.
Insufficient.

Using both statments we know that all White cars must be Large.

31 White and Large, 17 Medium Blue, 12 Red Small. (12+17=29 < 31)

If less than 31 White cars are Large, Statement 2 breaks:
30 White and Large, 1 White Small, 17 Medium Blue, 12 Red Small.
Large = Medium + Small.

Took me way more than 2 minutes

twixt · Answer

I pick E

We know that there are 30 or 31 white large cars. (>29)
But I found nothing in statements to choose whether there is at least either 1 small or medium white car.

myfrankenstein · Answer

I'll take a C
No large cars are blue or red implies that at least 29 (17+12) cars are either middle/small size.
The number large cars is greater then sum of middle/small cars hence it must be >29.
There are 31 white cars out of which there may be large/middle/small.
If statement 2 is true all these 31 cars must be large. If any of the white cars is not large it means there are 30 large cars and 30 middle/small cars ( 29 from blue and red and 1 from white) which can't be true as seen from the given statement.
Hence when both statements are satisfied there must be 31 white large cars , not more, not less.
Hence C.

myfrankenstein · Answer

If any white car is not large it means it adds to the 29 small/middle car pool from blue red cars. thus in effect yu will have 30 large and 29+ 1( from white pool) middle/small cars which would be a violation.
hence the explanation and the choice is incorrect.

hardworker_indian · Answer

C.

I would have preferred the Statement II to be:
B) large size cars are more in number than more than middle size and small size cars  together .

twixt · Answer

You are right guys, the sole solution is 31 Large > 30 M+S

C

NEWKID · Answer

This was a nice question. DS can really be tricky. :devil

myfrankenstein · Answer

Can yu please change yur avatar new kid.
I am an indian, neither white nor black and that fist seems extremely offensive. R yu trying to make a political statement on a GMAT forum ?
thanks

raja · Answer

go with E.

have one basic doubt..???
do we really need to add up the two numbers 12+17=29 since statement 2 by no means talks abt the sum of the 2 cars...it simply says that the number of white cars is more than red and blue...hence the minimum number of white cars that are large should be 18 and we cannot guess the upper limit...

correct me if am wrong in understanding the Q...!!!!!!

Ds Cars

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