GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 16 Oct 2019, 10:06

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

In the rectangular coordinate system shown, ABCD is a quadrilateral. T

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Senior RC Moderator
User avatar
V
Joined: 02 Nov 2016
Posts: 4104
GPA: 3.39
In the rectangular coordinate system shown, ABCD is a quadrilateral. T  [#permalink]

Show Tags

New post Updated on: 06 Jan 2019, 20:29
2
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

59% (01:40) correct 41% (02:26) wrong based on 78 sessions

HideShow timer Statistics

In the rectangular coordinate system shown, ABCD is a quadrilateral. The coordinates of the points A , B , C, and D are (0, 2), (a, b), (a, 2), and (0, 0), respectively. Is the quadrilateral ABCD a parallelogram?

(1) a = 3
(2) b = 5

Source: Nova GMAT
Difficulty Level: 650

Attachments

Untitled.jpg
Untitled.jpg [ 16.64 KiB | Viewed 1218 times ]


_________________

Originally posted by SajjadAhmad on 06 May 2017, 12:10.
Last edited by SajjadAhmad on 06 Jan 2019, 20:29, edited 2 times in total.
Retired Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1178
Location: India
GPA: 3.82
GMAT ToolKit User Reviews Badge
Re: In the rectangular coordinate system shown, ABCD is a quadrilateral. T  [#permalink]

Show Tags

New post 06 May 2017, 12:25
1
SajjadAhmad wrote:
Source: Nova GMAT

In the rectangular coordinate system shown, ABCD is a quadrilateral. The coordinates of the points A , B , C, and D are (0, 2), (a, b), (a, 2), and (0, 0), respectively. Is the quadrilateral ABCD a parallelogram?

(1) a = 3
(2) b = 5


For a parallelogram, opposite sides are parallel and equal.

Statement 1: we get the x co-ordinates of point B & C but as we know nothing about point's B y co-ordinate "b", hence we cannot calculate the lengths of AB & BC. hence not sufficient

Statement 2: this gives us y co-ordinate of point B. So BC = 5-2 = 3 units whereas AD = 2-0 = 2 units. Clearly BC is not equal to its opposite side AD. hence it is not a parallelogram. Sufficient.

Hence option B
Intern
Intern
avatar
Joined: 18 Dec 2018
Posts: 46
Re: In the rectangular coordinate system shown, ABCD is a quadrilateral. T  [#permalink]

Show Tags

New post 18 Dec 2018, 23:20
Statement 1. Now the points of quadrilateral are (0,2) , (3,b) , (3,2) and (0,0). This will be a parallelogram if b = 4. Otherwise the points won’t make a parallelogram. Hence, Insufficient.
Statement 2. Now the points are (0,2) , (a,5) , (a,2) ,(0,0). This could never be a parallelogram irrespective of the value of a. Hence, Sufficient.
Hence, b is the answer.
GMAT Tutor
User avatar
B
Joined: 07 Nov 2016
Posts: 56
GMAT 1: 760 Q51 V42
Re: In the rectangular coordinate system shown, ABCD is a quadrilateral. T  [#permalink]

Show Tags

New post 19 Dec 2018, 07:08
For ABCD to be a parallelogram, a pair of opposite sides have to be parallel and equal.

i.e their slopes have to be equal and their lengths have to be same

From St 1 : a = 3 , We cannot find the length or the slope of the sides AB or BC

So we cannot compare the values for any of the two pairs

Not Sufficient

From St 2 : b = 5

Length of AD = 2

Length of BC = 5-2 = 3 , Since the x-coordinates are same

Since the lengths are different, it is definitely not a parallelogram

Sufficient

Choice B
_________________
Please contact me at ksrutisagar@gmail.com
GMAT Club Bot
Re: In the rectangular coordinate system shown, ABCD is a quadrilateral. T   [#permalink] 19 Dec 2018, 07:08
Display posts from previous: Sort by

In the rectangular coordinate system shown, ABCD is a quadrilateral. T

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne