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# M03-02

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Math Expert
Joined: 02 Sep 2009
Posts: 44422

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16 Sep 2014, 00:19
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Difficulty:

5% (low)

Question Stats:

75% (00:27) correct 25% (00:23) wrong based on 224 sessions

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Is quadrilateral $$J$$ a square?

(1) All sides of $$J$$ are equal.

(2) The area of $$J$$ is a multiple of 10.
[Reveal] Spoiler: OA

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Math Expert
Joined: 02 Sep 2009
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16 Sep 2014, 00:19
Official Solution:

Statement (1) by itself is insufficient. A rhombus also satisfies the condition.

Statement (2) by itself is insufficient. It is possible to pick arbitrary sides that would result in an area of a rhombus or even a rectangle that is a multiple of 10. For example sides of 4 and 5 produce an area of 20 and sides of 10 and 10 produce an area equal to 100.

Statements (1) and (2) combined are insufficient. Combining both statements together still does not help answer the question.

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Joined: 14 Jan 2014
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Concentration: Finance, Economics
GPA: 3.85
WE: Consulting (Consulting)

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04 Aug 2015, 11:37
I think this is a poor-quality question and the explanation isn't clear enough, please elaborate. why both statements combined doesn't solve the question
Math Expert
Joined: 02 Sep 2009
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17 Aug 2015, 02:59
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ABD94 wrote:
I think this is a poor-quality question and the explanation isn't clear enough, please elaborate. why both statements combined doesn't solve the question

Why is the question poor-quality?

As for the solution, we could have a square with an area which is a multiple of 10 as well as a rhombus with an area which is a multiple of 10.
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Joined: 19 Jul 2016
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19 Jul 2016, 13:13
A Quadrilateral to be Sqaure requires two condition: All sides to be equal and angles to be right angle. But none of the solution state anything about the angle so we dont have complete information to judge if it is square or not. So option E
Intern
Joined: 28 Apr 2016
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25 Mar 2017, 16:04
I think this is a good quality question. It seems easy but you need to pay attention on details.
Intern
Joined: 05 Sep 2016
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25 May 2017, 06:30
How can a quadrilateral with all sides be equal and dont be square?

Posted from my mobile device
Math Expert
Joined: 02 Sep 2009
Posts: 44422

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25 May 2017, 06:58
cocojiz wrote:
How can a quadrilateral with all sides be equal and dont be square?

Posted from my mobile device

I think you are mixing quadrilateral and rectangle. A quadrilateral with all equal sides can be a rhombus.
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Joined: 24 Feb 2018
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25 Feb 2018, 10:28
cocojiz wrote:
How can a quadrilateral with all sides be equal and dont be square?

Posted from my mobile device

Because it can still be a trapezoid with four equal sides.
Re: M03-02   [#permalink] 25 Feb 2018, 10:28
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# M03-02

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