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Will the first 10 volumes of a 20-volume encyclopedia fit

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Re: Will the first 10 volumes of a 20-volume encyclopedia fit [#permalink]
GMATPrepNow wrote:
morya003 wrote:
Attachment:
Bookrack.PNG
Will the first 10 volumes of a 20-volume encyclopedia fit upright in the bookrack shown above?

(1) x = 50 centimeters.
(2) Twelve of the volumes have an average (arithmetic mean) thickness of 5 centimeters.

Target question: Will the first 10 volumes of a 20-volume encyclopedia fit upright in the bookrack shown above?

Statement 1: x = 50 centimeters.
We have no idea how THICK the first 10 volumes are.
They COULD each be 1 mm thick, in which case the 10 volumes will easily fit in the 50 cm rack
Or they COULD each be 1 km thick, in which case the 10 volumes will NOT fit in the 50 cm rack
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: Twelve of the volumes have an average (arithmetic mean) thickness of 5 centimeters.
We have no idea how wide the book rack is.
Statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
We have no info about the thickness of the 10 volumes to be placed in the rack.
Consider these two possible cases:

Case a: Each of the 12 volumes noted above in statement 2 are 5 cm thick. Two of those 5-cm-thick volumes are added to eight volumes that are each 1 mm thick. In this case, the 10 volumes will easily fit in the 50 cm rack
Case b: Each of the 12 volumes noted above in statement 2 are 5 cm thick. Two of those 5-cm-thick volumes are added to eight volumes that are each 1 km thick. In this case, the 10 volumes will NOT fit in the 50 cm rack

Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Cheers,
Brent

Hello Brent,

Hope you doing great!!

I just had a doubt here.The question says

Will the first 10 volumes of a 20-volume encyclopedia fit upright in the bookrack shown above?

1.Does that mean we are only concerned about it upright (through height) in the stack and not about the base overflowing or not fitting properly across the rack base?

Length Breadth and Height..((so height being point of concern here.))

2.Query 2
What is implied meaning of thickness .Is it he height of the book standing upright.

((I came across an official question wherein a glass had to be fitted completely on the table so length breadth role was important))
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Re: Will the first 10 volumes of a 20-volume encyclopedia fit [#permalink]
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prabsahi wrote:
Hello Brent,

Hope you doing great!!

I just had a doubt here.The question says

Will the first 10 volumes of a 20-volume encyclopedia fit upright in the bookrack shown above?

1.Does that mean we are only concerned about it upright (through height) in the stack and not about the base overflowing or not fitting properly across the rack base?

Length Breadth and Height..((so height being point of concern here.))

2.Query 2
What is implied meaning of thickness .Is it he height of the book standing upright.

((I came across an official question wherein a glass had to be fitted completely on the table so length breadth role was important))

The idea here is that the books are arranged like this

So, the thickness is the horizontal distance.

I hope that helps.

Cheers,
Brent
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Re: Will the first 10 volumes of a 20-volume encyclopedia fit [#permalink]
GMATPrepNow wrote:
prabsahi wrote:
Hello Brent,

Hope you doing great!!

I just had a doubt here.The question says

Will the first 10 volumes of a 20-volume encyclopedia fit upright in the bookrack shown above?

1.Does that mean we are only concerned about it upright (through height) in the stack and not about the base overflowing or not fitting properly across the rack base?

Length Breadth and Height..((so height being point of concern here.))

2.Query 2
What is implied meaning of thickness .Is it he height of the book standing upright.

((I came across an official question wherein a glass had to be fitted completely on the table so length breadth role was important))

The idea here is that the books are arranged like this

So, the thickness is the horizontal distance.

I hope that helps.

Cheers,
Brent

Thanks a lot.

You got it straight what was wrong in my thinking.I didn't realise that .Thanks again
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Re: Will the first 10 volumes of a 20-volume encyclopedia fit [#permalink]
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Re: Will the first 10 volumes of a 20-volume encyclopedia fit [#permalink]
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