Hi guys!

To me, this question got me on this part of Statement 2: "The area of one side of the sheet of glass..." it really confused me, but once I imagined the sheet of glass as one 3D plate, with a thin layer as its height, and 3 surface areas (side areas) it was clear that the statement was referring to the surface area of one side, and that on the bottom line it was not sufficient since we don't have any info about the tabletop to compare with.

Am I right here ?

Thanks everyone![/quote]

Yes, for statement 2 to be sufficient you needed to have 2 pieces of information:

1. Area of the tabletop
2. Area of the glass face parallel to the tabletop. If you are given "area" of a side of a cuboid , this area can belong to any of the 6 surface areas. This is the reason why even when you combine the 2 statements , you still do not have an unambiguous yes or no[/quote]

Nice, thanks.
Interpretation got me good on this one!

We need to determine whether a rectangular sheet of glass can cover an entire rectangular tabletop. We are given that the edges must be parallel to the table top; however, we know neither the dimensions of the sheet of glass nor the dimensions of the tabletop.

Statement One Alone:

The tabletop is 36 inches wide by 60 inches long.

Since we do not have any information about the dimensions of the rectangular sheet of glass, statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

The area of one side of the sheet of glass is 2,400 square inches.

Since we do not have any information about the dimensions of the tabletop, statement two alone is not sufficient to answer the question. We can eliminate answer choice B.

Statements One and Two Together:

Using the information from statements one and two we know the following:

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.

While initially we may think we have enough information to solve the problem, we actually do not, because we do not know the exact dimensions of the sheet of glass.

With an area of 2,400 square inches, we can have different lengths and widths of the sheet of glass. Some of these lengths and widths will allow the sheet to cover the table, while others will not. Let’s consider two cases.

Case # 1

Width of glass = 24 inches

Length of glass = 100 inches

Width of table = 36 inches

Length of table = 60 inches

We see that the width of the glass is shorter than the width of the table, so in case #1, the sheet of glass does not cover the entire table top.

Case # 2

Width of glass = 40 inches

Length of glass = 60 inches

Width of table = 36 inches

Length of table = 60 inches

We see that the width of the glass is longer than the width of the table and the length of the glass is equal to the length of the table, so in case #2, the sheet of glass does cover the entire table top.

The answer is E.
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hi Bunuel shashankism Engr2012

In this Q, had statement 2 been The area of one side of the sheet of glass is 2,400 square inches
then only st 2 would have been sufficient?

Also in original st2, the phrase one side is just meant for confusion, I guess area be L*B . Am I correct?
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Hi All,

We're asked if a certain rectangular sheet of glass can be positioned on a rectangular tabletop so that it covers the entire tabletop and its edges are parallel to the edges of the tabletop. This is a YES/NO question. To answer it, we'll need specific information about the size of the sheet and the size of the tabletop.

1) The tabletop is 36 inches wide by 60 inches long.

Fact 1 gives us the dimensions of the tabletop, but we don't know anything about the dimensions of the sheet.
Fact 1 is INSUFFICIENT

2) The area of one side of the sheet of glass is 2,400 square inches.

Fact 2 gives us the AREA of the sheet, but NOT its specific dimensions - and we don't know the dimensions of the table. The dimensions of the sheet could be a variety of different combinations, including....
40 inches by 60 inches
30 inches by 80 inches
1 inch by 2400 inches
Etc.
Fact 2 is INSUFFICIENT

Combined, we know:
The tabletop is 36 inches by 60 inches.
The AREA of the sheet is 2400 square inches.
IF.... the dimensions of the sheet are:
40 inches by 60 inches... then the answer to the question would be YES.
30 inches by 80 inches... then the answer to the question would be NO.
Combined, INSUFFICIENT.

Final Answer:

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For 30*80, case the answer to the question is NO.
For 40*60, case the answer to the question is YES.

In a Yes/No Data Sufficiency questions, statement(s) is sufficient if the answer is “always yes” or “always no” while a statement(s) is insufficient if the answer is "sometimes yes" and "sometimes no".

P.S. When a DS question asks about the value of some variable, then the statement(s) is sufficient ONLY if you can get the single numerical value of this variable.
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Two sides of the glass will coincide the two sides of the tabletop, but we can consider this to be parallel.

Else you can consider other dimensions of the glass, for example, 2400/61 =~39,... by 61.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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