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The figure above shows a construction plan for the intersect [#permalink]
17 Jan 2013, 05:33

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00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

75% (01:37) correct
25% (01:15) wrong based on 103 sessions

Attachment:

Roads.png [ 25.68 KiB | Viewed 4510 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?

Re: The figure above shows a construction plan for the intersect [#permalink]
17 Jan 2013, 06:33

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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 2813 times ]

From the figure we have that r+s+t=360 degrees --> 140+160+t=360 --> t=60 degrees. Sufficient.

Re: The figure above shows a construction plan for the intersect [#permalink]
18 Jan 2013, 03:37

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. _________________

Re: The figure above shows a construction plan for the intersect [#permalink]
18 Jan 2013, 22:05

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:

Roads.png

From the figure we have that r+s+t=360 degrees --> 140+160+t=360 --> t=60 degrees. Sufficient.

Answer: C.

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

Re: The figure above shows a construction plan for the intersect [#permalink]
19 Jan 2013, 03:58

Expert's post

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:

Roads.png

From the figure we have that r+s+t=360 degrees --> 140+160+t=360 --> t=60 degrees. Sufficient.

Answer: C.

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. _________________

Re: The figure above shows a construction plan for the intersect [#permalink]
19 Jan 2013, 06:57

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:

Roads.png

From the figure we have that r+s+t=360 degrees --> 140+160+t=360 --> t=60 degrees. Sufficient.

Answer: C.

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.

Re: The figure above shows a construction plan for the intersect [#permalink]
25 Sep 2014, 21:55

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. _________________

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