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# M02-22

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Math Expert
Joined: 02 Sep 2009
Posts: 44421

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16 Sep 2014, 00:18
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Difficulty:

5% (low)

Question Stats:

91% (00:18) correct 9% (00:26) wrong based on 191 sessions

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In the cube shown above, what is the minimum distance from point $$A$$ to point $$D$$?

(1) $$BC = 4$$

(2) $$AB = 4$$
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 44421

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16 Sep 2014, 00:18
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Official Solution:

Statement (1) by itself is sufficient, and Statement (2) by itself is sufficient. The minimum distance is the diagonal $$AD$$. By definition, a cube has all sides equal in length. Based on the Pythagoras theorem for triangles, $$d = a \sqrt{3}$$, where $$a$$ is the length of a side and $$d$$ is the cube's diagonal. Therefore, knowing the length of one side of a cube is sufficient to know its diagonal.

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Joined: 17 Nov 2014
Posts: 1

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15 Apr 2015, 05:45
Hello I am sort of new on this website and I have been seing these type of questions for a while, however I don't know how to answer them... How do you know the answer is D? all I saw was
(1) BC=4
(2) AB=4
In other words, I didn't see any multiple choice from a to e...
Can someone help me understand how this works?
Thanks
Math Expert
Joined: 02 Sep 2009
Posts: 44421

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15 Apr 2015, 05:52
eisman19 wrote:
Hello I am sort of new on this website and I have been seing these type of questions for a while, however I don't know how to answer them... How do you know the answer is D? all I saw was
(1) BC=4
(2) AB=4
In other words, I didn't see any multiple choice from a to e...
Can someone help me understand how this works?
Thanks

Hi, and welcome to GMAT Club.

This is a data sufficiency question. Options for DS questions are always the same.

The data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether—

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

I suggest you to go through the following post ALL YOU NEED FOR QUANT.

Hope this helps.
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Intern
Joined: 24 Jun 2013
Posts: 3
Schools: CBS '17
GMAT 1: 630 Q47 V27

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27 Jul 2017, 18:41
I think this is a poor-quality question and I don't agree with the explanation. hi, nowhere it is mentioned that this is a regular cube, without that explicitly stated, we cant deduce the answer.

Pls help me understand, if otherwise.

Thanks
Math Expert
Joined: 02 Sep 2009
Posts: 44421

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27 Jul 2017, 20:49
nitin083 wrote:
I think this is a poor-quality question and I don't agree with the explanation. hi, nowhere it is mentioned that this is a regular cube, without that explicitly stated, we cant deduce the answer.

Pls help me understand, if otherwise.

Thanks

It seems that you need to brush up fundamentals. A cube is the regular solid of six equal square sides.
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Manager
Joined: 11 Jun 2017
Posts: 81

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16 Nov 2017, 12:37
All edges of a cube are equal. Distance AD, i.e, the diagonal will be determined by a√3 where a is edge, hence, both are individually sufficient. Answer D.
Re: M02-22   [#permalink] 16 Nov 2017, 12:37
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# M02-22

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