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Can a certain rectangular sheet of glass be positioned on a

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Bunuel
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Re: Can a certain rectangular sheet of glass be positioned on a [#permalink] New post  21 Sep 2020, 04:21
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uc26 wrote:
Bunuel wrote:
SOLUTION

Can a certain rectangular sheet of glass be positioned on a rectangular tabletop so that it covers the entire tabletop and its edges are parallel to the edges of the tabletop?

(1) The tabletop is 36 inches wide by 60 inches long.
(2) The area of one side of the sheet of glass is 2,400 square inches.

Even when we consider the two statements together we can have for instance the following cases: if the dimensions of the glass are 40*60, then the answer would be YES but if the dimensions of the glass are 1*2,400, then the answer would be NO. Not sufficient.

Answer: E.


Hi Bunuel,

My question is what if the second statement provided information about the exact dimensions of the rectangular sheet of glass say “one side of the sheet of glass is 24 inches wide and 55 inches long”. Would the answer be C then? I feel it would still be E since we still don’t know whether the edges of the glass are parallel to the edges of the tabletop and none of the statements provide information about that.
Or is it that the rectangular piece of glass automatically means that the vertical edges are going to be 90 degrees and thus parallel to the tabletop? And hence the answer would be C.

Thanks,
Udit


The answer would be C. We'd be able to give a NO answer to the question. 24*55 sheet of glass cannot cover the entire tabletop which is 36*60.

C would be the answer too, if (2) were: The sheet of glass is 40 inches wide by 60 inches long. In this case, we COULD position the sheet of glass, so that it covers the entire tabletop and its edges are parallel to the edges of the tabletop. So, the answer to the question would be YES, we CAN position the sheet of glass, so that it covers the entire tabletop and its edges are parallel to the edges of the tabletop
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uc26
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Re: Can a certain rectangular sheet of glass be positioned on a [#permalink] New post  21 Sep 2020, 04:30
Bunuel wrote:
uc26 wrote:
Bunuel wrote:
SOLUTION

Can a certain rectangular sheet of glass be positioned on a rectangular tabletop so that it covers the entire tabletop and its edges are parallel to the edges of the tabletop?

(1) The tabletop is 36 inches wide by 60 inches long.
(2) The area of one side of the sheet of glass is 2,400 square inches.

Even when we consider the two statements together we can have for instance the following cases: if the dimensions of the glass are 40*60, then the answer would be YES but if the dimensions of the glass are 1*2,400, then the answer would be NO. Not sufficient.

Answer: E.


Hi Bunuel,

My question is what if the second statement provided information about the exact dimensions of the rectangular sheet of glass say “one side of the sheet of glass is 24 inches wide and 55 inches long”. Would the answer be C then? I feel it would still be E since we still don’t know whether the edges of the glass are parallel to the edges of the tabletop and none of the statements provide information about that.
Or is it that the rectangular piece of glass automatically means that the vertical edges are going to be 90 degrees and thus parallel to the tabletop? And hence the answer would be C.

Thanks,
Udit


The answer would be C. We'd be able to give a NO answer to the question. 24*55 sheet of glass cannot cover the entire tabletop which is 36*60.

C would be the answer too, if (2) were: The sheet of glass is 40 inches wide by 60 inches long. In this case, we COULD position the sheet of glass, so that it covers the entire tabletop and its edges are parallel to the edges of the tabletop. So, the answer to the question would be YES, we CAN position the sheet of glass, so that it covers the entire tabletop and its edges are parallel to the edges of the tabletop


Thanks Bunuel,
I understand your logic about the glass covering the table.
However, my doubt is related to whether the edges of the glass are parallel to the edges of the tabletop portion of the question stem. Since it is a rectangular sheet of glass, do we have to assume that all its verticle edges would be 90 degrees? Meaning a rectangular box or a rectangular sheet would by default have their edges parallel to a rectangular tabletop?

Thanks,
Udit
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Bunuel
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Re: Can a certain rectangular sheet of glass be positioned on a [#permalink] New post  21 Sep 2020, 04:38
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uc26 wrote:
Bunuel wrote:
uc26 wrote:

Hi Bunuel,

My question is what if the second statement provided information about the exact dimensions of the rectangular sheet of glass say “one side of the sheet of glass is 24 inches wide and 55 inches long”. Would the answer be C then? I feel it would still be E since we still don’t know whether the edges of the glass are parallel to the edges of the tabletop and none of the statements provide information about that.
Or is it that the rectangular piece of glass automatically means that the vertical edges are going to be 90 degrees and thus parallel to the tabletop? And hence the answer would be C.

Thanks,
Udit


The answer would be C. We'd be able to give a NO answer to the question. 24*55 sheet of glass cannot cover the entire tabletop which is 36*60.

C would be the answer too, if (2) were: The sheet of glass is 40 inches wide by 60 inches long. In this case, we COULD position the sheet of glass, so that it covers the entire tabletop and its edges are parallel to the edges of the tabletop. So, the answer to the question would be YES, we CAN position the sheet of glass, so that it covers the entire tabletop and its edges are parallel to the edges of the tabletop


Thanks Bunuel,
I understand your logic about the glass covering the table.
However, my doubt is related to whether the edges of the glass are parallel to the edges of the tabletop portion of the question stem. Since it is a rectangular sheet of glass, do we have to assume that all its verticle edges would be 90 degrees? Meaning a rectangular box or a rectangular sheet would by default have their edges parallel to a rectangular tabletop?

Thanks,
Udit


I think you are misunderstanding the question. The question asks: CAN a certain rectangular sheet of glass be positioned ... (So, whether it is possible) 40 by 60 sheet of glass CAN be positioned the way we want.
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Re: Can a certain rectangular sheet of glass be positioned on a [#permalink] New post  18 Mar 2021, 01:38
Does anyone else find this question misleading? The 'can' in Can a certain rectangular sheet of glass be positioned makes it sound like the question is asking whether it's possible to shape a sheet to cover the table and be parallel to the edges with an area of 2,400 square inches. I picked C for this reason.
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Elite097
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Re: Can a certain rectangular sheet of glass be positioned on a [#permalink] New post  16 May 2022, 23:39
JeffTargetTestPrep @avigordan BrentGMATPrepNow Bunuel EMPOWERgmatRichC what is the role of parallel her? No explanation here has clarified that? Can you tell me a case where the sides will not be parallel given the glass is a rectangle and given that it will cover the table top? EVen if it does not cover the table top, it can still be positioned parallel. And that is why which is the scenario wherein it CANNOT (ever) be positioned parallel given the above info?

IMO, it CAN ALWAYS be positioned parallel becaus eit is a rectangle and not parallelogram. EVen the diagram by Bunuel above is wrong
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Elite097
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Can a certain rectangular sheet of glass be positioned on a [#permalink] New post  19 May 2022, 22:31
EMPOWERgmatRichC I get your point and now that I think about it , it actually will still not cver the table because the area of the glass will be smaller than the top right? Pls clarify. Even I had a mild affinity to your reasoning before I realised this. Hence also pls give an answer to my previous question in this context

For glass greater than table top, there will always be a way to position parallely so we are only concerned with when dimensions are small but in that case it will never cover table top so what is the utility of introducing 'should be parallel' in the question stem
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Bunuel
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Re: Can a certain rectangular sheet of glass be positioned on a [#permalink] New post  12 Jan 2024, 02:49
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krishna_sunder_ wrote:
I don't understand something,
This is a DS question
so it mean's they are not asking weather the ans is yes/ no
but they are rather asking whether

a) it can be solved by first statement alone
b) it can be solved by second statement alone
c) both the statement are necessary, and one statement alone is not enough
d) the question is solvable by both the statement's individually
e) cannot be solved

that way shouldn't the answer be C

Ik that isn't the answer and i am going wrong somewhere. Can someone pl. guide me where i am going wrong.


There are two types of data sufficiency questions:

1. YES/NO DS Questions:

In Yes/No Data Sufficiency questions, a statement is sufficient if the answer is always "yes" or always "no", whereas a statement is insufficient if the answer can be "sometimes yes" and "sometimes no".

2. VALUE DS QUESTIONS:

When a DS question asks about the value of some variable, then the statement is sufficient ONLY if you can obtain a single numerical value for this variable.


The question at hand belongs to the first category. The answer here is E because even taken together statements are not sufficient to give a definite YES or a definite NO answer to the question.

Hope it's clear.
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Re: Can a certain rectangular sheet of glass be positioned on a [#permalink]
12 Jan 2024, 02:49
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