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If Q is a quadrilateral, is Q a rectangle?

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If Q is a quadrilateral, is Q a rectangle?  [#permalink]

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New post 09 Jun 2010, 10:15
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A
B
C
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If Q is a quadrilateral, is Q a rectangle?

(1) Opposite sides of Q are parallel.
(2) One of the four angles of Q is 90 degrees.

OA will be posted later

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Re: rectangle problem  [#permalink]

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New post 09 Jun 2010, 10:21
IMO E.

A alone is INSUFFICIENT - Could be a parallelogram, a square, a rhombus, or a rectangle.
B alone is INSUFFICIENT - Doesn't tell us anything.

A and B together can give us a square or a rectangle. INSUFFICIENT.
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Re: rectangle problem  [#permalink]

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New post 09 Jun 2010, 10:53
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sjayasa wrote:
IMO E.

A alone is INSUFFICIENT - Could be a parallelogram, a square, a rhombus, or a rectangle.
B alone is INSUFFICIENT - Doesn't tell us anything.

A and B together can give us a square or a rectangle. INSUFFICIENT.


Square is just a special case of rectangle so answer is C (what I mean is that every square is a rectangle, rhombus and parallelogram but not vise-versa).

For more on this issue check this link: Polygons.

Hope it helps.
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Re: rectangle problem  [#permalink]

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New post 09 Jun 2010, 10:55
Aha! Dint really know that.
Thank you for correcting!
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Re: rectangle problem  [#permalink]

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New post 09 Jun 2010, 23:02
OA is C

Thanks for the info bunuel. I will make a note of this +1
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Re: rectangle problem  [#permalink]

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New post 12 Jun 2010, 23:02
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Even with the OA i have doubt. Please correct me if I am wrong in this case.
1 is telling that Opposite sides of Q are parallel BUT it is not telling that these sides are equal in lenght.
2 is telling that One of the four angles of Q is 90 degrees. Clearly any one alone is insufficient but when you combine then also there is possibility that it may be a ractangle or a "right angled trapezium". So according to my thinking, the OA must be wrong and the actual answer must be E. Please correct me if I am wrong.



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Re: rectangle problem  [#permalink]

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New post 13 Jun 2010, 04:06
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2
amitjash wrote:
Even with the OA i have doubt. Please correct me if I am wrong in this case.
1 is telling that Opposite sides of Q are parallel BUT it is not telling that these sides are equal in lenght.
2 is telling that One of the four angles of Q is 90 degrees. Clearly any one alone is insufficient but when you combine then also there is possibility that it may be a ractangle or a "right angled trapezium". So according to my thinking, the OA must be wrong and the actual answer must be E. Please correct me if I am wrong.



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Answer is C.

(1) Opposite sides of Q are parallel --> note that this means that all opposite sides are parallel --> Q is a parallelogram. Is it a rectangle, special case of parallelogram? We don't know.

(2) One of the four angles of Q is 90 degrees. Not sufficient.

(1)+(2) Parallelogram with one right angle must be a rectangle as in parallelogram opposite angles are equal and not opposite angles sum to 180 degrees.

Hope it's clear.
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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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Re: rectangle problem  [#permalink]

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New post 13 Jun 2010, 06:18
Thanks bunuel,
My mistake.... I appreciate this forum has such a active and tolerant Moderator.
Keep it up... and thank you very much...
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Re: If Q is a quadrilateral, is Q a rectangle?  [#permalink]

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Re: If Q is a quadrilateral, is Q a rectangle? &nbs [#permalink] 25 Nov 2018, 10:18
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