|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
19 Aug 2018, 09:53
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
76% (02:39) correct
24%
(02:14)
wrong
based on 358
sessions
History
Date
Time
Result
Not Attempted Yet
If \(d = 2c\) and \(e = \frac{1}{2}a\), what is x in terms of a, b, and c?
(A) \(\frac{3}{2}a + b + 3c - 540\)
(B) \(\frac{3}{2}a + b + 3c\)
(C) \(720 - \frac{3}{2}a - b - 3c\)
(D) \(720 - \frac{1}{2}a - b - 2c\)
(E) \(540 - \frac{1}{2}a - b - \frac{3}{2}c\)
Attachment:
Capture.PNG [ 64.12 KiB | Viewed 9918 times ]
19 Aug 2018, 10:02
Kudos
Bookmarks
Bunuel
sum of internal angles of a polygon = (n-2)*180
n= 6
sum of angles = 720
now,
720=a+b+c+d+e+(180-x)
x=a+b+c+d+e-540
there is only one option with a -540 (a)
still
substituting the values
x=\(\frac{3}{2}a + b + 3c - 540\)
19 Aug 2018, 10:10
Kudos
Bookmarks
Bunuel
Given, \(d = 2c\) and \(e = \frac{1}{2}a\)
Sum of the interior angles of a polygon=(n-2)*180=(6-2)*180=720
We have, a+b+c+d+e+180-x=720
Or, a+b+c+d+e-x=720-180=540
Or, x=a+b+c+d+e-540.
Substituting the value of d and e,
\(x=a+b+c+2c+\frac{a}{2}-540\)
Or, \(x=\frac{3a}{2}+b+3c-540\)
Ans. (A)
