Author 
Message 
Manager
Joined: 30 Jun 2006
Posts: 87

Is ABCD a square ? 1. ABCD is a trapezium. 2. ABCD is not a [#permalink]
Show Tags
28 Jul 2006, 01:26
Question Stats:
0% (00:00) correct
0% (00:00) wrong based on 0 sessions
HideShow timer Statistics
This topic is locked. If you want to discuss this question please repost it in the respective forum.
Is ABCD a square ?
1. ABCD is a trapezium.
2. ABCD is not a rhombus.
I chose "D". My explanation goes like this.
1. If ABCD is a trapezium then it can never be a square. So this is SUFF.
2. ABCD is not a rhombus. This also implies that ABCD can never be a square ( All squares are rhombus but all rhombus are not squares ). SUFF
But the answer is not D. (Source  MBA quantitative aptitude  McGraw Hills Publication)
Am I missing something. Would like to know your responses.
Thanks



VP
Joined: 25 Nov 2004
Posts: 1483

Re: DS  square vs rhombus [#permalink]
Show Tags
28 Jul 2006, 06:54
jainvik7 wrote: Is ABCD a square ?
1. ABCD is a trapezium. 2. ABCD is not a rhombus.
I chose "D". My explanation goes like this.
1. If ABCD is a trapezium then it can never be a square. So this is SUFF.
2. ABCD is not a rhombus. This also implies that ABCD can never be a square ( All squares are rhombus but all rhombus are not squares ). SUFF
But the answer is not D. (Source  MBA quantitative aptitude  McGraw Hills Publication)
Am I missing something. Would like to know your responses.
Thanks
agree with you. there is no reason that 2 doesnot work. if abcd is not a rhomus, it is not a square cuz square a special type of rhobus. the given quadilateral can be a ractangle but cannot be a square.
D is it.



CEO
Joined: 20 Nov 2005
Posts: 2894
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD  Class of 2008

Should be D.
Whats the explanation in the book?
_________________
SAID BUSINESS SCHOOL, OXFORD  MBA CLASS OF 2008



Senior Manager
Joined: 22 May 2006
Posts: 368
Location: Rancho Palos Verdes

Guys, it's B.
Attachments
quadril.jpg [ 67.39 KiB  Viewed 1069 times ]
_________________
The only thing that matters is what you believe.



Intern
Joined: 23 Jul 2006
Posts: 49

What about E???
Statm1: Insuff
Statm2: NO all the rhombuses are squares.....for that reason what happen if I am taking one of that rhombuses..I dont know if ABCD is a square. Insuff
E
..?????????
..
_________________
Woody crack the GMAT



Senior Manager
Joined: 22 May 2006
Posts: 368
Location: Rancho Palos Verdes

zorro13 wrote: What about E???
Statm1: Insuff
Statm2: NO all the rhombuses are squares.....for that reason what happen if I am taking one of that rhombuses..I dont know if ABCD is a square. Insuff
..
All squares are rhombuses.
ABCD is not a rhombus. then ABCD is not a square
Thus, S2 is sufficient.
_________________
The only thing that matters is what you believe.



Manager
Joined: 14 Mar 2006
Posts: 208

I also go with D.
a square or a rectangle is a type of rhombus.



Intern
Joined: 23 Jul 2006
Posts: 49

freetheking wrote: zorro13 wrote: What about E???
Statm1: Insuff
Statm2: NO all the rhombuses are squares.....for that reason what happen if I am taking one of that rhombuses..I dont know if ABCD is a square. Insuff
.. All squares are rhombuses. ABCD is not a rhombus. then ABCD is not a square Thus, S2 is sufficient.
......oh yes....you are right....thanks...
_________________
Woody crack the GMAT



CEO
Joined: 20 Nov 2005
Posts: 2894
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD  Class of 2008

Which definition of trapezium to consider?
American: quadrilateral with no parallel sides
British: quadrilateral with two sides parallel
http://mathworld.wolfram.com/Trapezium.html
What is the source of this question??? If source of this question is British then answer is B. If source is American then answer is D. I think GMAT prefers American standards? What you guys think???
_________________
SAID BUSINESS SCHOOL, OXFORD  MBA CLASS OF 2008



Senior Manager
Joined: 22 May 2006
Posts: 368
Location: Rancho Palos Verdes

ps_dahiya wrote: Which definition of trapezium to consider? American: quadrilateral with no parallel sides British: quadrilateral with two sides parallel http://mathworld.wolfram.com/Trapezium.htmlWhat is the source of this question??? If source of this question is British then answer is B. If source is American then answer is D. I think GMAT prefers American standards? What you guys think???
Interesting point..
I assumed that the trapezium is equal to the trapezoid.
http://mathworld.wolfram.com/Trapezoid.html
I think there's no controversial concept in quant section of GMAT.
_________________
The only thing that matters is what you believe.



VP
Joined: 25 Nov 2004
Posts: 1483

its ok that trapiziods are quadilaterals but i donot think trapiziods are square/rectangle/rhombus. trapizoids are a special case where two sides are ll other two are not.



Senior Manager
Joined: 22 May 2006
Posts: 368
Location: Rancho Palos Verdes

MA wrote: trapizoids are a special case where two sides are ll other two are not.
Red part is wrong.
Definition of a trapzoid : a trapezoid is a quadrilateral with two sides parallel.
Thus, every parallelogram is a trapezoid by the definition of a trapezoid.
_________________
The only thing that matters is what you believe.



VP
Joined: 25 Nov 2004
Posts: 1483

freetheking wrote: MA wrote: trapizoids are a special case where two sides are ll other two are not. Red part is wrong. Definition of a trapzoid : a trapezoid is a quadrilateral with two sides parallel. Thus, every parallelogram is a trapezoid by the definition of a trapezoid.
i donot think that your statement is correct. i never saw that any trapizoid that is also parallogram. could you show a trapizoid figure?
trapezoid is a special case of quadilatral where the opposit two sides are parallel while the other two sides are not.



Senior Manager
Joined: 22 May 2006
Posts: 368
Location: Rancho Palos Verdes

Ma, I think it's controversial..
http://en.wikipedia.org/wiki/Trapezoid
Some authors define it as a quadrilateral having exactly one pair of parallel sides, so as to exclude parallelograms.
but some are not.
A trapezoid is a quadrilateral 'only' two of whose sides are parallel to each other. (In some European countries and Korea, a trapezoid is defined as a quadrilateral two or more of whose sides are parallel to each other. By this definition, a parallelogram is also a trapezoid.)
http://www.wikinfo.org/wiki.php?title=Trapezoid
I grew up in Korea. maybe that's why making it issue....
_________________
The only thing that matters is what you believe.



Manager
Joined: 26 Jun 2006
Posts: 152

Wow, such a lively discussion!
I selected (B) in seconds and was 100% sure I was right. And then I started reading other people's answers... I never knew about differences of opinion on simple geometric facts like this one. I guess I should be more open minded next time.
(The answer is still (B), by the way, as I am from the Old World )



VP
Joined: 25 Nov 2004
Posts: 1483

freetheking wrote: Ma, I think it's controversial.. http://en.wikipedia.org/wiki/TrapezoidSome authors define it as a quadrilateral having exactly one pair of parallel sides, so as to exclude parallelograms. but some are not. A trapezoid is a quadrilateral 'only' two of whose sides are parallel to each other. (In some European countries and Korea, a trapezoid is defined as a quadrilateral two or more of whose sides are parallel to each other. By this definition, a parallelogram is also a trapezoid.) http://www.wikinfo.org/wiki.php?title=TrapezoidI grew up in Korea. maybe that's why making it issue....
oh its interesting to know that trapizoids are taught differently in korea. thanks for sharing.
but, imo, in terms of gmat, trapizoid is not considered rhombus/square/ractangle.



Senior Manager
Joined: 22 May 2006
Posts: 368
Location: Rancho Palos Verdes

MA wrote: but, imo, in terms of gmat, trapizoid is not considered rhombus/square/ractangle.
Agreed. I never thought a definition can be different in some countries.
_________________
The only thing that matters is what you believe.










