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Lines l1 and l2 eventually meet when extended to the right.

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Lines l1 and l2 eventually meet when extended to the right. [#permalink]

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Attachment:
lines.JPG
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Lines l1 and l2 eventually meet when extended to the right. Which of the following could be true?

I. e = a
II. a = f
III. e + c = 180

(A) None
(B) I only
(C) II only
(D) II and III only
(E) I, II, and III
[Reveal] Spoiler: OA

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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink]

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New post 22 Mar 2012, 02:44
Straight ans is D.

SInce the lines are not parellel
I can be eliminated

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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink]

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New post 22 Mar 2012, 06:50
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iwillcrackgmat wrote:
Lines l1 and l2 eventually meet when extended to the right. Which of the following could be true?

I. e = a
II. a = f
III. e + c = 180

(A) None
(B) I only
(C) II only
(D) II and III only
(E) I, II, and III
Attachment:
lines.JPG
lines.JPG [ 7.37 KiB | Viewed 2593 times ]


Look at the diagram below:
Attachment:
Lines.png
Lines.png [ 8.46 KiB | Viewed 2534 times ]

I. e = a --> as you can see this scenario is possible;
II. a = f --> would be so if the lines l1 and l2 were parallel, since in this case a=c=f would be true;
III. e + c = 180 --> would be so if the lines l1 and l2 were parallel, since in this case c=f and e+f=180 (also notice that since e=g then the sum of two interior angles of the triangle g and c can not be 180 degrees);

Answer: B.
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink]

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New post 28 Mar 2012, 02:04
Good question and nice explanation
thanks

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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink]

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New post 29 Jan 2014, 22:37
Hi Bunuel ,

I am just trying to understand this question.
If e = a, then by looking at the diagram can we say b=f, and c=g ?

Regards
Vinni

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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink]

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New post 29 Jan 2014, 22:59
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink]

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New post 29 Jan 2014, 23:13
Hi Bunuel, just out of curiosity, if the lines were organized similar to the attached, are statements 2 or 3 still not possible? As always, your help is most appreciated.
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink]

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New post 29 Jan 2014, 23:23
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m3equals333 wrote:
Hi Bunuel, just out of curiosity, if the lines were organized similar to the attached, are statements 2 or 3 still not possible? As always, your help is most appreciated.


Essentially your drawing is the same as mine: if you lower the point of intersection you get the same image as in my post. Hence the logic discarding II and III would be the same too.
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink]

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New post 30 Jan 2014, 00:25
ok, upon further inspection I see exactly what you're saying and why statement 2/3 are not possible, thanks!
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink]

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New post 30 Jan 2014, 01:32
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Bunuel wrote:
iwillcrackgmat wrote:
Lines l1 and l2 eventually meet when extended to the right. Which of the following could be true?

I. e = a
II. a = f
III. e + c = 180

(A) None
(B) I only
(C) II only
(D) II and III only
(E) I, II, and III
Attachment:
lines.JPG


Look at the diagram below:
Attachment:
Lines.png

I. e = a --> as you can see this scenario is possible;
II. a = f --> would be so if the lines l1 and l2 were parallel, since in this case a=c=f would be true;
III. e + c = 180 --> would be so if the lines l1 and l2 were parallel, since in this case c=f and e+f=180 (also notice that since e=g then the sum of two interior angles of the triangle g and c can not be 180 degrees);

Answer: B.


Hi Bunuel,

If the question would have said which of the following must be true then Answer would have been be A.
Since the Question ask could be true clearly II and III statements can be ruled out cause we need the lines l1 and l2 to be parallel.

Is it correct??
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink]

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New post 30 Jan 2014, 01:34
WoundedTiger wrote:
Bunuel wrote:
iwillcrackgmat wrote:
Lines l1 and l2 eventually meet when extended to the right. Which of the following could be true?

I. e = a
II. a = f
III. e + c = 180

(A) None
(B) I only
(C) II only
(D) II and III only
(E) I, II, and III
Attachment:
lines.JPG


Look at the diagram below:
Attachment:
Lines.png

I. e = a --> as you can see this scenario is possible;
II. a = f --> would be so if the lines l1 and l2 were parallel, since in this case a=c=f would be true;
III. e + c = 180 --> would be so if the lines l1 and l2 were parallel, since in this case c=f and e+f=180 (also notice that since e=g then the sum of two interior angles of the triangle g and c can not be 180 degrees);

Answer: B.


Hi Bunuel,

If the question would have said which of the following must be true then Answer would have been be A.
Since the Question ask could be true clearly II and III statements can be ruled out cause we need the lines l1 and l2 to be parallel.

Is it correct??


Absolutely. If the question were which of the following MUST be true, then the answer would be A, none.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink]

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New post 11 Feb 2014, 03:58
The point to note here is that l1 & l2 are NOT parallel. hence II & III cannot be true. I (a=e) could be true hence answer is B.
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Hello from the GMAT Club BumpBot!

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Re: Lines l1 and l2 eventually meet when extended to the right.   [#permalink] 16 Sep 2017, 09:27
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