GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
In the figure above, if 5x = 4y then what is the value of y
[#permalink]
28 Apr 2020, 09:55
28 Apr 2020, 09:55
Expert Reply
1
Bookmarks
00:00
Question Stats:
97% (01:28) correct
2% (02:21) wrong based on 41 sessions
Hide Show timer Statistics
Attachment:
#greprepclub in the graph above.jpg [ 25.49 KiB | Viewed 4003 times ]
In the figure above, if 5x = 4y then what is the value of y ?
A. 25
B. 50
C. 60
D. 80
E. 100
Kudos for the right answer and explanation
Kudos for the right answer and explanation
Re: In the figure above, if 5x = 4y then what is the value of y
[#permalink]
28 Apr 2020, 13:11
28 Apr 2020, 13:11
2
If 4y = 5x then it means that the vertically opposite angles are equal i.e. \(\angle EOF = \angle BOC\)
Now, AD is a straight line so sum of all the angles = 180.
\(\angle AOB + \angle BOC + \angle COD = 180\)
\(x+5x + 3x = 180\)
\(9x = 180\)
\(x = 20\)
\(5x = 4y\) so, \(100 = 4y\) and \(y = 25\)
OA, A
Now, AD is a straight line so sum of all the angles = 180.
\(\angle AOB + \angle BOC + \angle COD = 180\)
\(x+5x + 3x = 180\)
\(9x = 180\)
\(x = 20\)
\(5x = 4y\) so, \(100 = 4y\) and \(y = 25\)
OA, A
Attachments
line.png [ 42.22 KiB | Viewed 3963 times ]
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1141
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: In the figure above, if 5x = 4y then what is the value of y
[#permalink]
08 Sep 2022, 10:50
08 Sep 2022, 10:50
Refer below Image. Let the highlighted angle be z
img.png [ 26.61 KiB | Viewed 2614 times ]
We know that Opposite angles are equal and z and 4y are opposite to each other
=> z = 4y
We know that Sum of angles in a line = 180°
=> x + z + 3x = 180°
=> x + 4y + 3x = 180°
=> 4x + 4y = 180°
=> x + y = \(\frac{180°}{4}\) = 45°
=> x = 45° - y
Also, we know that 5x = 4y
=> 5*(45° - y) = 4y
=> 225° = 9y
=> y = \(\frac{225°}{9}\) = 25°
So, Answer will be A
Hope it helps!
Attachment:
img.png [ 26.61 KiB | Viewed 2614 times ]
We know that Opposite angles are equal and z and 4y are opposite to each other
=> z = 4y
We know that Sum of angles in a line = 180°
=> x + z + 3x = 180°
=> x + 4y + 3x = 180°
=> 4x + 4y = 180°
=> x + y = \(\frac{180°}{4}\) = 45°
=> x = 45° - y
Also, we know that 5x = 4y
=> 5*(45° - y) = 4y
=> 225° = 9y
=> y = \(\frac{225°}{9}\) = 25°
So, Answer will be A
Hope it helps!
