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

It is currently 13 Oct 2019, 18:07

Close

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

What is a in terms of b and y?

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

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
B
Joined: 12 Nov 2015
Posts: 45
Location: United States
GRE 1: Q169 V165
What is a in terms of b and y?  [#permalink]

Show Tags

New post Updated on: 13 Sep 2017, 04:27
3
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

71% (02:38) correct 29% (02:32) wrong based on 58 sessions

HideShow timer Statistics

Image
What is a in terms of b and y?

(A) b + y + 65
(B) b - y + 65
(C) b + y + 75
(D) b - 2y + 45
(E) b - y + 75


I found this question somewhat difficult in translating to b and y format.

Was hoping someone could possibly point me to similar questions as this one to practice.

Thank you!
Attachment:
math pic.JPG
math pic.JPG [ 25.99 KiB | Viewed 1090 times ]


Attachment:
Untitled2.png
Untitled2.png [ 25.84 KiB | Viewed 1165 times ]

Originally posted by jboog on 13 Sep 2017, 04:18.
Last edited by Bunuel on 13 Sep 2017, 04:27, edited 1 time in total.
Edited the question.
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 7940
Re: What is a in terms of b and y (exterior/interior angles of a triangle)  [#permalink]

Show Tags

New post 13 Sep 2017, 04:30
1
jboog wrote:
What is a in terms of b and y?

I found this question somewhat difficult in translating to b and y format.

Was hoping someone could possibly point me to similar questions as this one to practice.

Thank you!



Hi..
As you have mentioned it is more to do with exterior angles..

Two equations you get is..
1) a=x+90
2) b=x+10+y+5=x+y+15 OR x=b-y-15

Substitute value of x in equation 1
a=b-y-15+90=b-y+75

E
_________________
Manager
Manager
User avatar
B
Joined: 22 May 2017
Posts: 84
GMAT 1: 580 Q41 V29
GMAT 2: 580 Q43 V27
Re: What is a in terms of b and y?  [#permalink]

Show Tags

New post 13 Sep 2017, 04:42
Use external angle theorem, then get two equations, substitute value of X with other variable present in other equation.

Sent from my Redmi Note 3 using GMAT Club Forum mobile app
Director
Director
User avatar
V
Joined: 04 Dec 2015
Posts: 745
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: What is a in terms of b and y?  [#permalink]

Show Tags

New post 13 Sep 2017, 08:44
jboog wrote:
Image
What is a in terms of b and y?

(A) b + y + 65
(B) b - y + 65
(C) b + y + 75
(D) b - 2y + 45
(E) b - y + 75


I found this question somewhat difficult in translating to b and y format.

Was hoping someone could possibly point me to similar questions as this one to practice.

Thank you!
Attachment:
math pic.JPG


Attachment:
Untitled2.png

We need to use external angles properties : An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Therefore given from the figure;

\(a = x + 90\) -------- (i)

\(b = (x + 10) + (y + 5)\)

\(b = x + y + 15\)

\(x = b - y - 15\) --------- (ii)

Substituting value of \(x\) from (ii) to (i), we get;

\(a = b - y - 15 + 90\)

\(a = b - y + 75\)

Answer (E)...
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3337
Location: India
GPA: 3.12
What is a in terms of b and y?  [#permalink]

Show Tags

New post 13 Sep 2017, 09:15
From the first triangle, \(x+y+90 = 180 => x+y = 90\)

From the second triangle, \((180 - b) + x + 10 + y + 5 = 180\)
Since \(x + y = 90, 180 + 10 + 5 + 90 - b = 180 => b = 105\)

We have been asked to find the value of a(in terms of b and y)
Since the sum of angles in a line is 180, \(a+y = 180\)
Therefore \(a = 180 - y = 105 + 75 - y = b - y + 75\)(Option E)
_________________
You've got what it takes, but it will take everything you've got
CR & LSAT Forum Moderator
User avatar
V
Status: He came. He saw. He conquered. -- Studying for the LSAT -- Corruptus in Extremis
Joined: 31 Jul 2017
Posts: 776
Location: United States (MA)
Concentration: Finance, Economics
Reviews Badge
What is a in terms of b and y?  [#permalink]

Show Tags

New post 13 Sep 2017, 14:01
Given the first triangle is a right triangle, X and Y can be 45 and 45, or 30 and 60. Either way, plugging those values into the second triangle will net an answer that can be solved by (E).
_________________
D-Day: November 18th, 2017

My CR Guide: Here

My RC Guide: Here

Need an expert to grade your AWA? Go: Here

Want to be a moderator? We may want you to be one! See how: Here
VP
VP
User avatar
D
Joined: 31 Oct 2013
Posts: 1475
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
CAT Tests
Re: What is a in terms of b and y?  [#permalink]

Show Tags

New post 11 Oct 2018, 03:33
Bunuel wrote:
Image
What is a in terms of b and y?

(A) b + y + 65
(B) b – y + 65
(C) b + y + 75
(D) b – 2y + 45
(E) b – y + 75


Attachment:
Capture (1).JPG



a = x + 90

b = x + y + 15

x = b - y -15

Now substitute the value of x .


a = x + 90

a = b - y - 15 + 90

a = b - y + 75

The best answer is E.
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8030
Location: United States (CA)
Re: What is a in terms of b and y?  [#permalink]

Show Tags

New post 13 Oct 2018, 18:45
Bunuel wrote:
Image
What is a in terms of b and y?

(A) b + y + 65
(B) b – y + 65
(C) b + y + 75
(D) b – 2y + 45
(E) b – y + 75


Attachment:
Capture (1).JPG


Since a is an exterior angle of the triangle on the left, a = x + 90 or x = a - 90

Since b is an exterior angle of the triangle on the right, b = x + 10 + y + 5 or b = x + y + 15.

Now we can substitute x = a - 90 into b = x + y + 15:

b = a - 90 + y + 15

a + y - 75 = b

a = b - y + 75

Alternate Solution:

Since a and y are supplementary angles, a + y = 180 or a = 180 - y.

Since b is an exterior angle of the triangle on the right, b = x + 10 + y + 5 or b = x + y + 15.

Since x + y + 90 = 180, x + y = 90. Substituting this for the expression for b, we get b = 90 + 15 = 105.

Then, a = 180 - y = 105 + 75 - a = b + 75 - y.

Answer: E
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: What is a in terms of b and y?   [#permalink] 13 Oct 2018, 18:45
Display posts from previous: Sort by

What is a in terms of b and y?

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne