It is currently 24 Nov 2017, 04:40

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# The figure above shows a construction plan for the intersect

Author Message
TAGS:

### Hide Tags

Director
Joined: 29 Nov 2012
Posts: 866

Kudos [?]: 1456 [2], given: 543

The figure above shows a construction plan for the intersect [#permalink]

### Show Tags

17 Jan 2013, 06:33
2
KUDOS
10
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

74% (00:39) correct 26% (00:54) wrong based on 304 sessions

### HideShow timer Statistics

Attachment:

Roads.png [ 25.68 KiB | Viewed 8253 times ]
The figure above shows a construction plan for the intersection of three straight roads, each having parallel edges and each having the same width. what is the value of t?

(1) r = 140
(2) s = 160
[Reveal] Spoiler: OA

_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Last edited by Bunuel on 17 Jan 2013, 07:25, edited 1 time in total.
Edited the question.

Kudos [?]: 1456 [2], given: 543

Director
Joined: 29 Nov 2012
Posts: 866

Kudos [?]: 1456 [1], given: 543

Re: The figure above shows a construction plan for the intersect [#permalink]

### Show Tags

17 Jan 2013, 07:05
1
KUDOS
My net was lagging and wouldn't let me upload the image.
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Kudos [?]: 1456 [1], given: 543

Math Expert
Joined: 02 Sep 2009
Posts: 42356

Kudos [?]: 133195 [6], given: 12439

Re: The figure above shows a construction plan for the intersect [#permalink]

### Show Tags

17 Jan 2013, 07:33
6
KUDOS
Expert's post
2
This post was
BOOKMARKED

The figure above shows a construction plan for the intersection of three straight roads, each having parallel edges and each having the same width. what is the value of t?

(1) r = 140. Not sufficient.
(2) s = 160. Not sufficient.

(1)+(2) Consider the width of the roads to be 0 as shown below:
Attachment:

Roads.png [ 14.39 KiB | Viewed 6196 times ]
From the figure we have that r+s+t=360 degrees --> 140+160+t=360 --> t=60 degrees. Sufficient.

_________________

Kudos [?]: 133195 [6], given: 12439

Director
Joined: 29 Nov 2012
Posts: 866

Kudos [?]: 1456 [0], given: 543

Re: The figure above shows a construction plan for the intersect [#permalink]

### Show Tags

18 Jan 2013, 04:37
Seems a very basic question, but what other possible concepts are tested here? The official explanations was pretty convoluted had a parallelogram and all of that.
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Kudos [?]: 1456 [0], given: 543

Director
Joined: 28 Jul 2011
Posts: 517

Kudos [?]: 305 [0], given: 16

Location: United States
GPA: 3.86
WE: Accounting (Commercial Banking)
Re: The figure above shows a construction plan for the intersect [#permalink]

### Show Tags

18 Jan 2013, 23:05
Bunuel wrote:

The figure above shows a construction plan for the intersection of three straight roads, each having parallel edges and each having the same width. what is the value of t?

(1) r = 140. Not sufficient.
(2) s = 160. Not sufficient.

(1)+(2) Consider the width of the roads to be 0 as shown below:
Attachment:
From the figure we have that r+s+t=360 degrees --> 140+160+t=360 --> t=60 degrees. Sufficient.

Bunnel

I have small doubt here

Suppose the length is not 0 then you will have two variables and you cannot solve the equation i.e the equation becomes

Suppose width=X

Then T= 360-3X-R-S

and here you have 2 variables and 1 equation you cannot get a single solution

Am i right?
_________________

Kudos [?]: 305 [0], given: 16

Math Expert
Joined: 02 Sep 2009
Posts: 42356

Kudos [?]: 133195 [0], given: 12439

Re: The figure above shows a construction plan for the intersect [#permalink]

### Show Tags

19 Jan 2013, 04:58
mydreammba wrote:
Bunuel wrote:

The figure above shows a construction plan for the intersection of three straight roads, each having parallel edges and each having the same width. what is the value of t?

(1) r = 140. Not sufficient.
(2) s = 160. Not sufficient.

(1)+(2) Consider the width of the roads to be 0 as shown below:
Attachment:
From the figure we have that r+s+t=360 degrees --> 140+160+t=360 --> t=60 degrees. Sufficient.

Bunnel

I have small doubt here

Suppose the length is not 0 then you will have two variables and you cannot solve the equation i.e the equation becomes

Suppose width=X

Then T= 360-3X-R-S

and here you have 2 variables and 1 equation you cannot get a single solution

Am i right?

No you are not. The edges of the road are parallel, so there is 0 degree angle between them.
_________________

Kudos [?]: 133195 [0], given: 12439

Director
Joined: 28 Jul 2011
Posts: 517

Kudos [?]: 305 [0], given: 16

Location: United States
GPA: 3.86
WE: Accounting (Commercial Banking)
Re: The figure above shows a construction plan for the intersect [#permalink]

### Show Tags

19 Jan 2013, 07:57
Bunuel wrote:
mydreammba wrote:
Bunuel wrote:

The figure above shows a construction plan for the intersection of three straight roads, each having parallel edges and each having the same width. what is the value of t?

(1) r = 140. Not sufficient.
(2) s = 160. Not sufficient.

(1)+(2) Consider the width of the roads to be 0 as shown below:
Attachment:
From the figure we have that r+s+t=360 degrees --> 140+160+t=360 --> t=60 degrees. Sufficient.

Bunnel

I have small doubt here

Suppose the length is not 0 then you will have two variables and you cannot solve the equation i.e the equation becomes

Suppose width=X

Then T= 360-3X-R-S

and here you have 2 variables and 1 equation you cannot get a single solution

Am i right?

No you are not. The edges of the road are parallel, so there is 0 degree angle between them.

Thanks Bunnel Got it
_________________

Kudos [?]: 305 [0], given: 16

Manager
Joined: 27 Jul 2012
Posts: 96

Kudos [?]: 121 [0], given: 62

Location: India
GMAT Date: 10-25-2012
WE: Consulting (Computer Software)
Re: The figure above shows a construction plan for the intersect [#permalink]

### Show Tags

14 Feb 2013, 06:44
Quote:
(1)+(2) Consider the width of the roads to be 0 as shown below:

Bunuel - can you please elaborate it further ? why do we need to make this assumption ?

Regards.
_________________

if my post helped you, let me know by pressing Kudos...

Kudos [?]: 121 [0], given: 62

MBA Section Director
Status: Back to work...
Affiliations: GMAT Club
Joined: 22 Feb 2012
Posts: 4784

Kudos [?]: 3801 [0], given: 2448

Location: India
City: Pune
GMAT 1: 680 Q49 V34
GPA: 3.4
Re: The figure above shows a construction plan for the intersect [#permalink]

### Show Tags

14 Feb 2013, 08:19
Quote:
(1)+(2) Consider the width of the roads to be 0 as shown below:

Bunuel - can you please elaborate it further ? why do we need to make this assumption ?

Regards.

Go thru the file attached. Then you will understand the point which Bunuel is making.

Regards,

Abhijit
Attachments

parallel lines.docx [11.83 KiB]

_________________

Kudos [?]: 3801 [0], given: 2448

Intern
Joined: 28 May 2012
Posts: 4

Kudos [?]: [0], given: 5

Re: The figure above shows a construction plan for the intersect [#permalink]

### Show Tags

25 Sep 2014, 06:25
Hi Guys,

I assumed Angle R = Angle S due to the parallel lines property. Hence for me each statement was sufficient. Why is R not equal to S?

Kudos [?]: [0], given: 5

Manager
Status: I am not a product of my circumstances. I am a product of my decisions
Joined: 20 Jan 2013
Posts: 131

Kudos [?]: 122 [0], given: 68

Location: India
Concentration: Operations, General Management
GPA: 3.92
WE: Operations (Energy and Utilities)
Re: The figure above shows a construction plan for the intersect [#permalink]

### Show Tags

25 Sep 2014, 21:48
piyusharma wrote:
Hi Guys,

I assumed Angle R = Angle S due to the parallel lines property. Hence for me each statement was sufficient. Why is R not equal to S?

Because the two parallel lines you considered are not cut by the same traversal. So angle R is not equal to angle S.

Kudos [?]: 122 [0], given: 68

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7751

Kudos [?]: 17876 [2], given: 235

Location: Pune, India
Re: The figure above shows a construction plan for the intersect [#permalink]

### Show Tags

25 Sep 2014, 22:55
2
KUDOS
Expert's post
piyusharma wrote:
Hi Guys,

I assumed Angle R = Angle S due to the parallel lines property. Hence for me each statement was sufficient. Why is R not equal to S?

Also note that in DS questions, the two statements never contradict each other. If you had assumed that angle R = angle S, the two statements should have told you that that is not true.
Statement 1 tells you that angle R is 140. According to you, then angle S should be 140 too. But statement 2 tells you that angle S is 160. This means there is something wrong in your assumption.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Kudos [?]: 17876 [2], given: 235

Non-Human User
Joined: 09 Sep 2013
Posts: 15497

Kudos [?]: 283 [0], given: 0

Re: The figure above shows a construction plan for the intersect [#permalink]

### Show Tags

21 Oct 2015, 04:34
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 283 [0], given: 0

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4362

Kudos [?]: 3066 [0], given: 0

GPA: 3.82
Re: The figure above shows a construction plan for the intersect [#permalink]

### Show Tags

25 Oct 2015, 11:56
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Attachment:

Roads.png [ 25.68 KiB | Viewed 2796 times ]

The figure above shows a construction plan for the intersection of three straight roads, each having parallel edges and each having the same width. what is the value of t?

(1) r = 140
(2) s = 160

From the original condition, we can see that there are 3 variables (r,s,t), and one equation (r+s+t=360), so we need 2 more equations, which are given from the 2 conditions, so there is high chance (C) will be our answer.
Looking at the conditions together, r+s+t=140+160+t=360, so it answers the question 'yes', and the answer becomes (C).

For cases where we need 2 more equation, such as original conditions with “2 variables”, or “3 variables and 1 equation”, or “4 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 70% chance that C is the answer, while E has 25% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since C is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, D or E.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Kudos [?]: 3066 [0], given: 0

Non-Human User
Joined: 09 Sep 2013
Posts: 15497

Kudos [?]: 283 [0], given: 0

Re: The figure above shows a construction plan for the intersect [#permalink]

### Show Tags

02 Jan 2017, 07:50
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 283 [0], given: 0

Intern
Joined: 03 Jul 2016
Posts: 15

Kudos [?]: 2 [0], given: 43

Re: The figure above shows a construction plan for the intersect [#permalink]

### Show Tags

27 Mar 2017, 11:16
VeritasPrepKarishma wrote:
piyusharma wrote:
Hi Guys,

I assumed Angle R = Angle S due to the parallel lines property. Hence for me each statement was sufficient. Why is R not equal to S?

Also note that in DS questions, the two statements never contradict each other. If you had assumed that angle R = angle S, the two statements should have told you that that is not true.
Statement 1 tells you that angle R is 140. According to you, then angle S should be 140 too. But statement 2 tells you that angle S is 160. This means there is something wrong in your assumption.

Kudos [?]: 2 [0], given: 43

Re: The figure above shows a construction plan for the intersect   [#permalink] 27 Mar 2017, 11:16
Display posts from previous: Sort by