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

 It is currently 23 Sep 2018, 07:30

### 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
Your Progress

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

# If d = 2c and e = a/2, what is x in terms of a, b, and c?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49320
If d = 2c and e = a/2, what is x in terms of a, b, and c?  [#permalink]

### Show Tags

19 Aug 2018, 09:53
00:00

Difficulty:

45% (medium)

Question Stats:

73% (02:17) correct 28% (02:17) wrong based on 39 sessions

### HideShow timer Statistics

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 398 times ]

_________________
Director
Joined: 20 Feb 2015
Posts: 733
Concentration: Strategy, General Management
Re: If d = 2c and e = a/2, what is x in terms of a, b, and c?  [#permalink]

### Show Tags

19 Aug 2018, 10:02
1
Bunuel wrote:

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

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=$$\frac{3}{2}a + b + 3c - 540$$
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 859
WE: Supply Chain Management (Energy and Utilities)
Re: If d = 2c and e = a/2, what is x in terms of a, b, and c?  [#permalink]

### Show Tags

19 Aug 2018, 10:10
Bunuel wrote:

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

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)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Re: If d = 2c and e = a/2, what is x in terms of a, b, and c? &nbs [#permalink] 19 Aug 2018, 10:10
Display posts from previous: Sort by

# If d = 2c and e = a/2, what is x in terms of a, b, and c?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

## Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.