GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 27 May 2020, 15:31 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # Please refer to the figure, if A is a point in

Author Message
TAGS:

### Hide Tags

Retired Moderator V
Joined: 27 Oct 2017
Posts: 1787
WE: General Management (Education)
Please refer to the figure, if A is a point in  [#permalink]

### Show Tags 00:00

Difficulty:   25% (medium)

Question Stats: 73% (01:43) correct 27% (02:12) wrong based on 49 sessions

### HideShow timer Statistics

GMATBusters’ Quant Quiz Question -2 Please refer to the figure, if A is a point in the shaded region, then the point could be
A. (2,3)
B. (-3,4)
C. (4,7)
D. (8,3)
E. (13,6)

Attachment: Quiz 2.jpg [ 34.17 KiB | Viewed 744 times ]

_________________
Retired Moderator V
Joined: 27 Oct 2017
Posts: 1787
WE: General Management (Education)
Re: Please refer to the figure, if A is a point in  [#permalink]

### Show Tags

1
Manager  S
Joined: 16 Sep 2011
Posts: 128
Re: Please refer to the figure, if A is a point in  [#permalink]

### Show Tags

For a point inside shaded region, the point must satisfy the equation
x-2y<0
x-2y=0 intersects y =5 hence x cannot be more than 10
A. (2,3)=-4
B. (-3,4) cannot be as figure in 1st quadrant
C. (4,7) cannot be as if y>5
D. (8,3)=2
E. (13,6) cannot be as x >10

Posted from my mobile device
Manager  G
Joined: 04 Jun 2019
Posts: 79
Location: United States
Re: Please refer to the figure, if A is a point in  [#permalink]

### Show Tags

A is a point in the yellow shadow region that is surrounded among line x=0, y=5 and 0=x-2y => y=x/2 line.
from this we can find range of each x and y.
intersection of y=5 line y=x/2 line is 5=x/2 => x=2.5, x=0 (line) so x range is between 0 and 2.5
intersection of x=0 line y=x/2 line is y=0/2 => y=0, y=5 (line) so y range is between 0 and 5
answer choice could be between (x, y) => (0-2.5, 0-5)
therefore, A is right
Intern  S
Joined: 13 Nov 2019
Posts: 33
Location: India
GPA: 4
Re: Please refer to the figure, if A is a point in  [#permalink]

### Show Tags

This question is testing for the knowledge in inequalities.
Attachments New Doc 2020-02-16 08.09.13_2.jpg [ 191.15 KiB | Viewed 656 times ]

Director  V
Joined: 22 Feb 2018
Posts: 741
Re: Please refer to the figure, if A is a point in  [#permalink]

### Show Tags

Although, i don't know the approach but still i'll give a try.

Based on the figure, the shaded region is less than 2.5 on x axis. So it can never be option C, D and E.
x axis can also not be less than 0. So, B is also out. So, A is can be the correct answer.

Ans. A.
Director  P
Joined: 14 Dec 2019
Posts: 659
Location: Poland
GMAT 1: 570 Q41 V27
WE: Engineering (Consumer Electronics)
Re: Please refer to the figure, if A is a point in  [#permalink]

### Show Tags

Please refer to the figure, if A is a point in the shaded region, then the point could be
A. (2,3)
B. (-3,4)
C. (4,7)
D. (8,3)
E. (13,6)

Since x= 2y => x largest value can be 10
y = 5 => y values can be only less than 5 for the point to be in the shaded region.

Since A and the shaded region lies in the 1st quadrant :-
x has to be greater than 0 and less than 10 and y has to be greater than 0 and less than 5 for the point to be in the shaded region

Only 1 option fits that -> 2,3

Intern  B
Joined: 25 Mar 2013
Posts: 11
Re: Please refer to the figure, if A is a point in  [#permalink]

### Show Tags

Solution:

Question 2: Please refer to the figure, if A is a point in the shaded region, then the point could be

A. (2,3)
B. (-3,4)
C. (4,7)
D. (8,3)
E. (13,6)

In order to solve this question, we need to first observe that the figure is plotted on grid that is similar to graph paper and the distance between the integer coordinates on each of the X axis and Y axis is 1 unit. For example, point y = 5 on Y axis is 5 units away from the origin (0,0). Moreover, it is asked in this question that we need to find a point A in the shaded region of the graph and the right coordinates of point A are required to be identified from the given options.

We can eliminate the wrong options and select the right option by looking at the area of shaded region in the graph that is a right angled triangle. In the shaded triangle, one side is Y = 5 units or (5,0) and in case of other side, y-coordinate is 5 and x-coordinate can be found by looking at the grid distance on x-axis from the origin. X-coordinate is 2.5 units away from the origin (0,0). Thus, the coordinates of three vertices of the triangle are (0,0), (0,5) and (2.5,5).
. Now, by looking at the given options in the question, we can easily eliminate option B,C,D and E because any option with y-coordinate value > 5 or x-coordinate value < 0 is clearly incorrect as the shaded region lies in the first quadrant in which values of both X and Y coordinates are positive.

Option A i.e.; (2,3) is the correct answer.
Senior Manager  P
Joined: 31 May 2018
Posts: 432
Location: United States
Concentration: Finance, Marketing
Re: Please refer to the figure, if A is a point in  [#permalink]

### Show Tags

Please refer to the figure, if A is a point in the shaded region, then the point could be
A. (2,3) -- this is the possible answer--for x = 2 for point to lie in shaded region it should lie between (2,1) and (2,5) - (correct)

B. (-3,4)--this is not possible since x coordinates of points in shaded regions should be positive

C. (4,7)-- for x = 4 for point to lie in shaded region it should lie between (4,2) and (4,5) but y co-ordinate of the given option is greater than 5 so out

D. (8,3)-- for x = 8 for points to lie in shaded region it should lie between (8,4) and (8,5) but y coordinate of the given option is less than 4 so out

E. (13,6) -- this again is not possible shaded region is till x = 10
if we solve x-2y = 0 and y = 5 we get x = 10
Manager  S
Joined: 05 May 2016
Posts: 142
Location: India
Re: Please refer to the figure, if A is a point in  [#permalink]

### Show Tags

Considering the figure is not drawn to scale:

if y intercept given is 5, then x-intercept will be 10.

So all of the options within the range of 0<x<=10 & 0<y<5, can be considered.

Now, I dont know if my logic 100% correct, but if we see the graph: y is almost half of x, so we can go ahead with the option : (8,3) as our answer.
Retired Moderator V
Joined: 27 Oct 2017
Posts: 1787
WE: General Management (Education)
Re: Please refer to the figure, if A is a point in  [#permalink]

### Show Tags

Even D satisfy ur condition: " x has to be greater than 0 and less than 10 and y has to be greater than 0 and less than 5 for the point to be in the shaded region"
The reasoning is not perfect
shameekv1989 wrote:
Please refer to the figure, if A is a point in the shaded region, then the point could be
A. (2,3)
B. (-3,4)
C. (4,7)
D. (8,3)
E. (13,6)

Since x= 2y => x largest value can be 10
y = 5 => y values can be only less than 5 for the point to be in the shaded region.

Since A and the shaded region lies in the 1st quadrant :-
x has to be greater than 0 and less than 10 and y has to be greater than 0 and less than 5 for the point to be in the shaded region

Only 1 option fits that -> 2,3

_________________ Re: Please refer to the figure, if A is a point in   [#permalink] 17 Feb 2020, 23:07

# Please refer to the figure, if A is a point in  