A grocery is storing some small cereal boxes in large carton that meas

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Competition Mode Question

A grocery is storing some small cereal boxes in large carton that measures 25 inches by 40 inches by 60 inches. Can all of the cereal boxes contained in the large carton ?

(1) The volume of one cereal box is 240 cubic inches.
(2) There are a total of 250 cereal boxes.

freedom128 · Answer

Large carton: 25*40*60=60,000 in^3

(1) The volume of one cereal box is 240 cubic inches.

We don't know the number and the dimension of a cereal box. We cannot deduce whether all cereal boxes can be contained in the large carton. 
NOT SUFFICIENT

(2) There are a total of 250 cereal boxes.

We don't know the dimension of a cereal box. We cannot deduce whether all cereal boxes can be contained in the large carton. 
NOT SUFFICIENT

Combined

We don't know the dimension of 
A cereal box. Volume data of a cereal box alone is insufficient to determine how many boxes can be contained in the large carton

Case 1: 1x40x6 in^3 cereal box
We can put ALL 25*1*10=250 nos of boxes. 
Case 2: 10x4x6 in^3 cereal box
We can put ONLY ~2*10*10=200 nos of boxes

NOT SUFFICIENT

FINAL ANSWER IS (E)

Posted from my mobile device

exc4libur · Answer

large carton vol: 
4*6=24*10^2=2400, 24*25=625-25=600*10^2=60,000

(1) insufic
we don't know quantity of small boxes, nor its dimensions

(2) insufic
we don't know its dimensions

(1/2) insufic
small vol: 240*250=60,000
without dimensions we don't know how many fit in the carton, exactly
ps: if the small > large volume, then the answer would be no

ans (E)

GMATinsight · Answer

Question: Can all of the cereal boxes contained in the large carton ?

Statement 1 : The volume of one cereal box is 240 cubic inches.

Dimensions of cereal boxes and count of boxes are unknown hence

NOT SUFFICIENT

Statement 2 : There are a total of 250 cereal boxes

Dimensions of cereal boxes are unknown hence

Hint : Because total Boxes that can be put in Big box = * *  where a,b,c are side length of cereal boxes

NOT SUFFICIENT

COmbining the statements

Dimensions of cereal boxes are unknown hence

NOT SUFFICIENT

Answer: Option E

pabpinor · Answer

So this is an interesting question, if it is a 700 level, and seems simple you should suspect that something is wrong.

A grocery is storing some small cereal boxes in large carton that measures 25 inches by 40 inches by 60 inches. Can all of the cereal boxes contained in the large carton?

The statement tells us that there is a large box of a certain size (totaling 60,000 square inches) filled with an unknown number of unknown size boxes.

(1) The volume of one cereal box is 240 cubic inches.

Statement 1 just tells us one box size volume is, we do not know home many boxes or what is the size, so we cannot know if they can fit. INSUFFICIENT.

(2) There are a total of 250 cereal boxes.

Statement 2 tells us just the number of boxes, so clearly  INSUFFICIENT  by its own as well.

Volume and #number of boxes seem that is what we need, sending us to go for C, but the question is about the small boxes fitting, not their content, so we have to consider the shape, what if the boxes have weird figures? What if they are super thin?

For me was clear that  BOTH  statements are  INSUFFICIENT  (therefore   E  ), because of the multiple issues with the plane carry-on limitations, but it was a tricky one.

If you realize that math is no needed you can do it easily in 30'; the volume check for C is simple, 240*250=6*10000=60,0000 probably to mislead you and make you think it fits the large box.

Regards,
Pablo

monikakumar · Answer

A grocery is storing some small cereal boxes in large carton that measures 25 inches by 40 inches by 60 inches. Can all of the cereal boxes contained in the large carton ?

(1) The volume of one cereal box is 240 cubic inches.
(2) There are a total of 250 cereal boxes.
1) vol of small box=240, but no info on sides
insufficient
2) total boxes =250, no info on sides or vol of each
insufficient
1+2) not sufficient
no info on dimensions of each box
Ans E

lacktutor · Answer

A grocery is storing some small cereal boxes in large carton that measures 25 inches by 40 inches by 60 inches. Can all of the cereal boxes contained in the large carton ?

( Statement1 ): The volume of one cereal box is 240 cubic inches.
Nothing tells us about how many boxes are there. 
Clearly  insufficient .

( Statement2 ): There are a total of 250 cereal boxes.
Nothing tells us about the volume and lengths of sides of boxes.
Clearly  insufficient

Taken together 1&2, 
Still no info about height, width and length of each box.

if each box measures 0.1 x 40 x 60, that large carton can contain 250 boxes (YES)
if each box measures 3 x 8 x 10, that large carton can't contain 250 boxes (NO)
 Insufficient

Answer (E).

unraveled · Answer

A grocery is storing some small cereal boxes in large carton that measures 25 inches by 40 inches by 60 inches. Can all of the cereal boxes contained in the large carton ?

Since the question deals with the number of boxes that can fit in the large carton, we need to know the dimensions of the small boxes.

(1) The volume of one cereal box is 240 cubic inches.
Two things we don't know here, dimensions of the boxes and number of boxes.

INSUFFICIENT.

(2) There are a total of 250 cereal boxes.
Yet one thing we don't know about is dimensions - volume would not help.

INSUFFICIENT.

Together 1 and 2 
Again both together are not sufficient to answer the questions as:
Case I: Number of boxes * volume of each box = 250 * 240
The volume of Large carton should be a multiple of 250 * 240. So,
 \frac{25*40*60}{250*240} = 1  YES for whatever be the dimensions of small boxes.

Case II: If one of the dimensions of small boxes is > 60(for example 80 or 120) then none of the boxes fit in the large carton. NO

INSUFFICIENT.

Answer E.

chaitralirr · Answer

A grocery is storing some small cereal boxes in large carton that measures 25 inches by 40 inches by 60 inches. Can all of the cereal boxes contained in the large carton ?

(1) The volume of one cereal box is 240 cubic inches.
(2) There are a total of 250 cereal boxes.

the volume of the carton is 25X40X60= 60000

statement 1: Volume of 1 cereal box is 240 ; however we do not know the dimensions as well as boxes hence statement 1 insufficient

Statement 2: we know the boxes of cereal 250 but volume and dimensions are not known hence insufficient.

Combining statement 1 and 2 we get
volume is 240 and 250 boxes ; however we still dont know the dimensions hence insufficient.

IMO E

Eduardo86 · Answer

When the winner is announced??

Abhajadon · Answer

Statement A ) volume of one box is 240, one box could be of dimension 1*1*240 or 3*8*10, clearly insufficient.

Statement B) We know the number of boxes but not the dimension of boxes, Insufficient

Together A and B , we know the number and volume but not the dimension. as illustrated above one box of dimension 1*1*240 would not fit into the carton.

Hence E is the answer

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