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

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17 Jan 2013, 06:33

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C

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75% (01:42) correct
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Roads.png [ 25.68 KiB | Viewed 6531 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?

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 4669 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]

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

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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:

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

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]

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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:

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.

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

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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).

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Attachment:

Roads.png [ 25.68 KiB | Viewed 1282 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.
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