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

 It is currently 21 Oct 2019, 05:43

### 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

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

# A parallelogram is drawn in the xy-coordinate plane. Is the parallelog

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 27 Aug 2014
Posts: 341
Location: Netherlands
Concentration: Finance, Strategy
Schools: LBS '22, ISB '21
GPA: 3.9
WE: Analyst (Energy and Utilities)
A parallelogram is drawn in the xy-coordinate plane. Is the parallelog  [#permalink]

### Show Tags

26 Feb 2015, 16:11
3
7
00:00

Difficulty:

75% (hard)

Question Stats:

44% (01:27) correct 56% (01:36) wrong based on 225 sessions

### HideShow timer Statistics

A parallelogram is drawn in the xy-coordinate plane. Is the parallelogram's area, in square units, an integer?

(1) The x- and y-coordinates of each of the parallelogram's four vertices are integers.

(2) The parallelogram has four sides of equal length.
Manager
Joined: 14 Oct 2014
Posts: 66
Location: United States
GMAT 1: 500 Q36 V23
Re: A parallelogram is drawn in the xy-coordinate plane. Is the parallelog  [#permalink]

### Show Tags

26 Feb 2015, 16:59
1
Question: A=b*h, where b is the base and h is the height.

(1) Sufficient. Draw a parallelogram in the xy-coordinate plane and you see that if all of the vertices of the parallelogram have integer coordinates, then the coordinates of the height will be integers as well. That is, the point of one end of the height will have the same coordinates as one of the vertices, hence, integers. And the point of the other end the height (where it meets the base) will have the same x-coordinate as one of the vertices and the y-coordante that will be the same as the y-coordinate of the other vertex. When you'll be calculating the length of the height (h), you care only about its y-coordinates (which are integers). The difference of two integers will give you an integer (h). The length of the base will be an integer too. Area= integer*integer= integer.
(2) Insufficient. The lengths of the height and base could be anything.
VP
Joined: 23 Feb 2015
Posts: 1262
Re: A parallelogram is drawn in the xy-coordinate plane. Is the parallelog  [#permalink]

### Show Tags

17 Dec 2016, 09:03
santorasantu wrote:
A parallelogram is drawn in the xy-coordinate plane. Is the parallelogram's area, in square units, an integer?

(1) The x- and y-coordinates of each of the parallelogram's four vertices are integers.

(2) The parallelogram has four sides of equal length.

Please give me a shortcut to solve this within 2 minutes

Thank you...
_________________
“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”

Do you need official questions for Quant?
3700 Unique Official GMAT Quant Questions
------
SEARCH FOR ALL TAGS
GMAT Club Tests
VP
Joined: 05 Mar 2015
Posts: 1000
Re: A parallelogram is drawn in the xy-coordinate plane. Is the parallelog  [#permalink]

### Show Tags

17 Dec 2016, 20:01
iMyself wrote:
santorasantu wrote:
A parallelogram is drawn in the xy-coordinate plane. Is the parallelogram's area, in square units, an integer?

(1) The x- and y-coordinates of each of the parallelogram's four vertices are integers.

(2) The parallelogram has four sides of equal length.

Please give me a shortcut to solve this within 2 minutes

Thank you...

iMyself

try drawing any parallelogram having integer coordinates

(2,3) (3,8) (6,8) (5,3)
here H=5 and B=3
Area=5*3=15 integer...thus suff...for any integer coordinates

whereas in statement 2 ,if cordinates are fractions then we get either H or B or both values in fraction
leading to any integer/fraction values..hence insuff..

Ans A
VP
Joined: 23 Feb 2015
Posts: 1262
Re: A parallelogram is drawn in the xy-coordinate plane. Is the parallelog  [#permalink]

### Show Tags

26 Mar 2017, 04:45
rohit8865 wrote:
iMyself wrote:
santorasantu wrote:
A parallelogram is drawn in the xy-coordinate plane. Is the parallelogram's area, in square units, an integer?

(1) The x- and y-coordinates of each of the parallelogram's four vertices are integers.

(2) The parallelogram has four sides of equal length.

Please give me a shortcut to solve this within 2 minutes

Thank you...

iMyself

try drawing any parallelogram having integer coordinates

(2,3) (3,8) (6,8) (5,3)
here H=5 and B=3
Area=5*3=15 integer...thus suff...for any integer coordinates

whereas in statement 2 ,if cordinates are fractions then we get either H or B or both values in fraction
leading to any integer/fraction values..hence insuff..

Ans A

This question is from Manhattan GMAT challenge question, so I thought it will be difficult to make the solution and I scared about it. But, this question is more easier, i think. It may take just 30 seconds to solve this problem. Anyway Thank you rohit8865. Goodluck man...
_________________
“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”

Do you need official questions for Quant?
3700 Unique Official GMAT Quant Questions
------
SEARCH FOR ALL TAGS
GMAT Club Tests
Manager
Joined: 22 Mar 2014
Posts: 99
Location: United States
Concentration: Finance, Operations
GMAT 1: 530 Q45 V20
GPA: 3.91
WE: Information Technology (Computer Software)
Re: A parallelogram is drawn in the xy-coordinate plane. Is the parallelog  [#permalink]

### Show Tags

26 Mar 2017, 13:00
Hi,

Even if all the vertices of a parallelogram are integers, the parallelogram might be tilted on XY plane and in that case the lengths of height and base might be fractions. You can try with a rectangle since it is a parallelogram on XY plane. So I guess the ans should be E.
RC Moderator
Joined: 24 Aug 2016
Posts: 789
GMAT 1: 540 Q49 V16
GMAT 2: 680 Q49 V33
Re: A parallelogram is drawn in the xy-coordinate plane. Is the parallelog  [#permalink]

### Show Tags

01 May 2018, 10:10
Bunuel .... could you pls help on this
_________________
Please let me know if I am going in wrong direction.
Thanks in appreciation.
Intern
Joined: 28 Aug 2018
Posts: 27
Location: India
Schools: LBS '21 (A)
GMAT 1: 650 Q49 V31
GPA: 3.16
Re: A parallelogram is drawn in the xy-coordinate plane. Is the parallelog  [#permalink]

### Show Tags

19 Nov 2018, 10:04
The area of a parallelogram is base multiplied by height that is base * height. If the x coordinates and y coordinates are integers then the multiplication of the base (an integer) and height (an integer) will result in an integer. Hence A is sufficient.

From B we do not know if the base and height are integers or not. Hence, the multiplication of base and height may or may not result in an integer.
Manager
Joined: 04 Jun 2010
Posts: 73
Location: India
GMAT 1: 660 Q49 V31
GPA: 3.22
Re: A parallelogram is drawn in the xy-coordinate plane. Is the parallelog  [#permalink]

### Show Tags

05 Mar 2019, 04:39
anant327 wrote:
The area of a parallelogram is base multiplied by height that is base * height. If the x coordinates and y coordinates are integers then the multiplication of the base (an integer) and height (an integer) will result in an integer. Hence A is sufficient.

From B we do not know if the base and height are integers or not. Hence, the multiplication of base and height may or may not result in an integer.

even if the base and height coordinates are integers..........base and height lengths may or may not be integers.......Try tilting the parallelogram in the XY plane..........

Thoughts on this Bunuel
Director
Joined: 18 Feb 2019
Posts: 581
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
Re: A parallelogram is drawn in the xy-coordinate plane. Is the parallelog  [#permalink]

### Show Tags

09 Mar 2019, 06:21
Can anyone explain with diagram?
Intern
Joined: 28 Aug 2018
Posts: 27
Location: India
Schools: LBS '21 (A)
GMAT 1: 650 Q49 V31
GPA: 3.16
Re: A parallelogram is drawn in the xy-coordinate plane. Is the parallelog  [#permalink]

### Show Tags

18 Mar 2019, 09:05
avikroy wrote:
anant327 wrote:
The area of a parallelogram is base multiplied by height that is base * height. If the x coordinates and y coordinates are integers then the multiplication of the base (an integer) and height (an integer) will result in an integer. Hence A is sufficient.

From B we do not know if the base and height are integers or not. Hence, the multiplication of base and height may or may not result in an integer.

even if the base and height coordinates are integers..........base and height lengths may or may not be integers.......Try tilting the parallelogram in the XY plane..........

Thoughts on this Bunuel

Can you please tell me an example of 4 coordinates which has integer x and y coorfinates but has a decimal length ?

Posted from my mobile device
Intern
Joined: 11 May 2018
Posts: 24
Location: India
Re: A parallelogram is drawn in the xy-coordinate plane. Is the parallelog  [#permalink]

### Show Tags

19 Mar 2019, 06:52
anant327 wrote:
avikroy wrote:
anant327 wrote:
The area of a parallelogram is base multiplied by height that is base * height. If the x coordinates and y coordinates are integers then the multiplication of the base (an integer) and height (an integer) will result in an integer. Hence A is sufficient.

From B we do not know if the base and height are integers or not. Hence, the multiplication of base and height may or may not result in an integer.

even if the base and height coordinates are integers..........base and height lengths may or may not be integers.......Try tilting the parallelogram in the XY plane..........

Thoughts on this Bunuel

Can you please tell me an example of 4 coordinates which has integer x and y coorfinates but has a decimal length ?

Posted from my mobile device

For easier calculation, lets take one of the vertices is the origin (0,0)
Another vertices of parallelogram be (7, 3) and the line passes through these points be a length

Length of this side of parallelogram = $$\sqrt{7^2+3^2}$$ = $$\sqrt{58}$$ --> not an integer

Width of parallelogram can be any integer, it will not give area in integer.

Thus i feel answer should be E.

Am I missing something?
Re: A parallelogram is drawn in the xy-coordinate plane. Is the parallelog   [#permalink] 19 Mar 2019, 06:52
Display posts from previous: Sort by