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

 It is currently 14 Dec 2018, 18:24

### 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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

December 14, 2018

December 14, 2018

10:00 PM PST

11:00 PM PST

Carolyn and Brett - nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session.
• ### Free GMAT Strategy Webinar

December 15, 2018

December 15, 2018

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# The figure above shows a rectangle ABCD in the xy- coordinate plane

Author Message
Retired Moderator
Joined: 27 May 2014
Posts: 525
GMAT 1: 730 Q49 V41
The figure above shows a rectangle ABCD in the xy- coordinate plane  [#permalink]

### Show Tags

Updated on: 23 Feb 2018, 23:45
00:00

Difficulty:

25% (medium)

Question Stats:

82% (01:09) correct 18% (00:29) wrong based on 28 sessions

### HideShow timer Statistics

The figure below shows a rectangle ABCD in the xy- coordinate plane. The sides AB and AD are parallel to the x- and the y- axis respectively. How many squares of side 1 unit that lie on or inside the rectangle ABCD can be drawn?

(1) The length of side AB is 6 units
(2) The coordinates of points A and C are (3,2) and (9, 5)

Attachment:
File comment: Figure 1

Capture.JPG [ 16.01 KiB | Viewed 1517 times ]

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

Originally posted by saswata4s on 23 Feb 2018, 09:49.
Last edited by Bunuel on 23 Feb 2018, 23:45, edited 1 time in total.
Edited the question.
PS Forum Moderator
Joined: 25 Feb 2013
Posts: 1217
Location: India
GPA: 3.82
Re: The figure above shows a rectangle ABCD in the xy- coordinate plane  [#permalink]

### Show Tags

23 Feb 2018, 09:59
saswata4s wrote:
The figure below shows a rectangle ABCD in the xy- coordinate plane. The sides AB and AD are parallel to the x- and the y- axis respectively. How many squares of side 1 unit that lie on or inside the rectangle ABCD can be drawn?

(1) The length of side AB is 6 units
(2) The coordinates of points A and C are (3,2) and (9, 5)

To know the number of square on or inside rectangle ABCD, we need to know the area of rectangle ABCD. Hence we need to know the length and breadth of the rectangle ABCD

Statement 1: provides the value of length, but neither the width or any co-ordinates are mentioned. Insufficient

Statement 2: $$A=(3,2)$$ & $$C=(9,5)$$, then $$B=(9,2)$$ because B will have the same x-coordinate as that of point C & same y-coordinate as that of point A

so length $$AB=9-3=6$$ and width $$BC=5-2=3$$. Sufficient

Option B
DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India
Re: The figure above shows a rectangle ABCD in the xy- coordinate plane  [#permalink]

### Show Tags

23 Feb 2018, 10:30
saswata4s wrote:
The figure below shows a rectangle ABCD in the xy- coordinate plane. The sides AB and AD are parallel to the x- and the y- axis respectively. How many squares of side 1 unit that lie on or inside the rectangle ABCD can be drawn?

(1) The length of side AB is 6 units
(2) The coordinates of points A and C are (3,2) and (9, 5)

I personally think that the question should mention 'How many squares of side 1 unit and with all its vertices having integer coordinates' that lie on or inside the rectangle ABCD can be drawn.

That is because if we do not mention that the vertices of square have to be integers, then actually infinite squares can be made.

Eg, we start with the first square of side 1 unit which is at the leftmost bottom position in this rectangle, i.e., the square whose bottom left vertex is A. Now if we assume the coordinates of A to be (3,2) then the other three vertices will be at (4,2); (4,3) and (3,3).
Now if we just shift this square by 0.1 units on the right, then we will have another different square with side 1 unit having the four vertices as: (3.1,2); (4.1,2); (4.1,3) and (3.1,3).

Similarly we can shift that first square 0.1 units up (instead of right) and we will have another square. Similarly, instead of shifting 0.1 units we could also shift by 0.01 units or 0.02 units. So we can just make the first square anywhere in this rectangle and then keep shifting it very slightly to right/left and/or top/bottom - thereby resulting in infinite squares.
Manager
Joined: 26 Sep 2016
Posts: 62
Re: The figure above shows a rectangle ABCD in the xy- coordinate plane  [#permalink]

### Show Tags

23 Feb 2018, 14:53
Hi , what is meant by "How many squares of side 1 unit that lie on or inside the rectangle ABCD can be drawn?"
If it just said inside the rectangle it would be plain , we need the area of the rectangle and then divide it to the square. This wording on or confused me.
PS Forum Moderator
Joined: 25 Feb 2013
Posts: 1217
Location: India
GPA: 3.82
Re: The figure above shows a rectangle ABCD in the xy- coordinate plane  [#permalink]

### Show Tags

23 Feb 2018, 21:16
saswata4s wrote:
The figure below shows a rectangle ABCD in the xy- coordinate plane. The sides AB and AD are parallel to the x- and the y- axis respectively. How many squares of side 1 unit that lie on or inside the rectangle ABCD can be drawn?

(1) The length of side AB is 6 units
(2) The coordinates of points A and C are (3,2) and (9, 5)

I think if at all there is any deficiency in the wording of the question then that is that it should specify "maximum number of square (without any overlap) of side 1 unit that lie on or inside". By using Maximum word, it will imply that small squares need to be drawn starting from any of the four vertices and this is what I have assumed in my solution. By starting from any other point inside the big square will not yield "maximum" number of small squares.
Retired Moderator
Joined: 27 May 2014
Posts: 525
GMAT 1: 730 Q49 V41
Re: The figure above shows a rectangle ABCD in the xy- coordinate plane  [#permalink]

### Show Tags

24 Feb 2018, 07:26
niks18 wrote:
saswata4s wrote:
The figure below shows a rectangle ABCD in the xy- coordinate plane. The sides AB and AD are parallel to the x- and the y- axis respectively. How many squares of side 1 unit that lie on or inside the rectangle ABCD can be drawn?

(1) The length of side AB is 6 units
(2) The coordinates of points A and C are (3,2) and (9, 5)

I think if at all there is any deficiency in the wording of the question then that is that it should specify "maximum number of square (without any overlap) of side 1 unit that lie on or inside". By using Maximum word, it will imply that small squares need to be drawn starting from any of the four vertices and this is what I have assumed in my solution. By starting from any other point inside the big square will not yield "maximum" number of small squares.

I agree. But this is how the question was framed in the source.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: The figure above shows a rectangle ABCD in the xy- coordinate plane &nbs [#permalink] 24 Feb 2018, 07:26
Display posts from previous: Sort by