NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 03:34 It is currently 25 Apr 2024, 03:34
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If each of the two lines L1 and L2 is parallel to line L3, which of th

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
bimalr9
Intern
Intern
Joined: 20 Mar 2015
Posts: 40
Own Kudos [?]: 261 [24]
Given Kudos: 9
Send PM
GMAT ToolKit User
If each of the two lines L1 and L2 is parallel to line L3, which of th [#permalink] New post   19 Jun 2016, 11:51
3
Kudos
20
Bookmarks
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

89% (00:39) correct 11% (00:43) wrong based on 1265 sessions
Hide Show timer Statistics
If each of the two lines L1 and L2 is parallel to line L3, which of the following must be true?

(A) Lines L1 , L2, and L3 lie in the same plane.
(B) Lines L1 , ,L2 and L3 lie in different planes.
(C) Line L1 is parallel to line L2 .
(D) Line L1 is the same line as line L2.
(E) Line L1 is the same line as line L3 .


Show Spoiler
Aren't answers D and E contradicting with questions?
ShowHide Answer
Official Answer
C
avatar
B
t4hwg
Intern
Intern
Joined: 21 Dec 2018
Posts: 2
Own Kudos [?]: 1 [1]
Given Kudos: 103
Send PM
Re: If each of the two lines L1 and L2 is parallel to line L3, which of th [#permalink] New post   05 Apr 2019, 14:50
1
Kudos
How can we assume L1 /= L2? If L1 and L2 are the same lines then they intersect infinitely and are therefore not parallel...
User avatar
G
m1033512
Senior Manager
Senior Manager
Joined: 25 Feb 2019
Posts: 279
Own Kudos [?]: 217 [1]
Given Kudos: 32
Send PM
Reviews Badge
Re: If each of the two lines L1 and L2 is parallel to line L3, which of th [#permalink] New post   05 Apr 2019, 20:55
1
Kudos
t4hwg wrote:
How can we assume L1 /= L2? If L1 and L2 are the same lines then they intersect infinitely and are therefore not parallel...



There is a theoram which says

if two lines are parallel to a third line , then

all three lines are parallel to one another

means
L1 ||L3

and L2 || L3

then ,

L1 || L2 || L3



hope this helps

award kudos if helpful

Posted from my mobile device
avatar
B
hsn81960
Manager
Manager
Joined: 16 May 2018
Posts: 63
Own Kudos [?]: 6 [1]
Given Kudos: 45
Location: Hungary
Schools: Queen's MBA'20
Send PM
Re: If each of the two lines L1 and L2 is parallel to line L3, which of th [#permalink] New post   31 May 2019, 04:27
1
Kudos
Why is this wrong ?
(A) Lines m, n and p lie in the same plane
If they are parallel how can they be in different plane ? ( We just have x and y plane right )
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32665
Own Kudos [?]: 821 [1]
Given Kudos: 0
Send PM
Re: If each of the two lines L1 and L2 is parallel to line L3, which of th [#permalink] New post   24 Aug 2023, 17:09
1
Kudos
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.
User avatar
FacelessMan
Manager
Manager
Joined: 19 Dec 2015
Posts: 89
Own Kudos [?]: 395 [0]
Given Kudos: 13
Location: United States
Schools: Duke '19 Kenan-Flagler '19
GMAT 1: 720 Q50 V38
GPA: 3.8
WE:Information Technology (Computer Software)
Send PM
Re: If each of the two lines L1 and L2 is parallel to line L3, which of th [#permalink] New post   19 Jun 2016, 13:12
If each of the two lines L1 and L2 is parallel to line L3, it means L1 || L2 || L3. And thats exactly in answer choice C.
User avatar
L
pushpitkc
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 2873
Own Kudos [?]: 5205 [0]
Given Kudos: 47
Location: India
GPA: 3.12
Send PM
Re: If each of the two lines L1 and L2 is parallel to line L3, which of th [#permalink] New post   01 Aug 2017, 07:33
Bunuel wrote:
If each of the two lines m and n are parallel to line p, which of the following must be true?

(A) Lines m, n and p lie in the same plane
(B) Lines m, n and p are in different planes
(C) Line m is parallel to line n
(D) Line m is the same line as line n
(E) Line m is the same line as line p


The rest of the statements may or may not be true.
But, if both line m || p and n || p, line m must be definitely parallel to n(Option C)
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5958
Own Kudos [?]: 13387 [1]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
Re: If each of the two lines L1 and L2 is parallel to line L3, which of th [#permalink] New post   01 Aug 2017, 08:07
1
Bookmarks
Expert Reply
Bunuel wrote:
If each of the two lines m and n are parallel to line p, which of the following must be true?

(A) Lines m, n and p lie in the same plane
(B) Lines m, n and p are in different planes
(C) Line m is parallel to line n
(D) Line m is the same line as line n
(E) Line m is the same line as line p


(A) Lines m, n and p lie in the same plane - INCORRECT
Reasons: m and p could be in one plane and n and p could be in another plane hence not necessarily they all will be in same plane

(B) Lines m, n and p are in different planes - INCORRECT
Reasons: m, n and p could all be in one plane as well

(C) Line m is parallel to line n - CORRECT
Since m and p are parallel on one part and n and p are parallel on other plane then there must be a plane containing lines n and m as well hence they must be parallel not necessarily in the same plane containing line p as well

(D) Line m is the same line as line n - INCORRECT

(E) Line m is the same line as line p - INCORRECT

ANswer: Option C
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6272 [0]
Given Kudos: 1646
Send PM
Re: If each of the two lines L1 and L2 is parallel to line L3, which of th [#permalink] New post   02 Aug 2017, 13:35
Expert Reply
Bunuel wrote:
If each of the two lines m and n are parallel to line p, which of the following must be true?

(A) Lines m, n and p lie in the same plane
(B) Lines m, n and p are in different planes
(C) Line m is parallel to line n
(D) Line m is the same line as line n
(E) Line m is the same line as line p


We have a theorem that says:

If two lines each are parallel to a third line, then they are parallel to each other.

Since line m and line n are both parallel to line p,lines m and n must also be parallel to each other.

Answer: C
avatar
B
t4hwg
Intern
Intern
Joined: 21 Dec 2018
Posts: 2
Own Kudos [?]: 1 [0]
Given Kudos: 103
Send PM
Re: If each of the two lines L1 and L2 is parallel to line L3, which of th [#permalink] New post   06 Apr 2019, 08:32
m1033512 wrote:
t4hwg wrote:
How can we assume L1 /= L2? If L1 and L2 are the same lines then they intersect infinitely and are therefore not parallel...



There is a theoram which says

if two lines are parallel to a third line , then

all three lines are parallel to one another

means
L1 ||L3

and L2 || L3

then ,

L1 || L2 || L3



hope this helps

award kudos if helpful

Posted from my mobile device


That seems rather arbitrary though doesn’t it?
For example:
L1 is (0,2) through (5,2)
L2 is Y=2
L3 is Y=0

In this case, both lines 1 and 2 are parallel to 3 but not to each other. Is there some special line nomenclature that I’m missing?
User avatar
L
dcummins
VP
VP
Joined: 14 Feb 2017
Posts: 1115
Own Kudos [?]: 2163 [0]
Given Kudos: 368
Location: Australia
Concentration: Technology, Strategy
Schools: INSEAD Sept'21 Intake (WA$) Melbourne (A$) AGSM (A$) Kellogg '23 (WL) Said '22 (A$) CBS '23 (D) Booth '23 (D) Anderson '23 (WL) Cambridge '22 (WL) LBS '23 (D) Stern '24 (WA)
GMAT 1: 560 Q41 V26
GMAT 2: 550 Q43 V23
GMAT 3: 650 Q47 V33
GMAT 4: 650 Q44 V36
GMAT 5: 600 Q38 V35
GMAT 6: 710 Q47 V41
WE:Management Consulting (Consulting)
Send PM
Reviews Badge
Re: If each of the two lines L1 and L2 is parallel to line L3, which of th [#permalink] New post   18 Jul 2019, 17:29
if L1 and L2 aren't parallel to each other then they cannot be parallel to L3 as they'd intersect at some point.
avatar
S
mba757
Current Student
Joined: 15 Jun 2020
Posts: 319
Own Kudos [?]: 81 [0]
Given Kudos: 245
Location: United States
Schools: Darden '24 (A) Fuqua '24 (WL) Kellogg '24 (D)
GPA: 3.3
Send PM
Re: If each of the two lines L1 and L2 is parallel to line L3, which of th [#permalink] New post   31 Aug 2020, 15:38
Hello experts!

What does it mean to be on the "same plane"? Is this 2D vs 3D?
User avatar
B
summerbummer
Manager
Manager
Joined: 16 Jul 2020
Posts: 56
Own Kudos [?]: 10 [0]
Given Kudos: 138
Location: India
GMAT 1: 520 Q39 V23
GMAT 2: 600 Q42 V30
Send PM
If each of the two lines L1 and L2 is parallel to line L3, which of th [#permalink] New post   15 Sep 2020, 11:09
GMATinsight wrote:
Bunuel wrote:
If each of the two lines m and n are parallel to line p, which of the following must be true?

(A) Lines m, n and p lie in the same plane
(B) Lines m, n and p are in different planes
(C) Line m is parallel to line n
(D) Line m is the same line as line n
(E) Line m is the same line as line p


(A) Lines m, n and p lie in the same plane - INCORRECT
Reasons: m and p could be in one plane and n and p could be in another plane hence not necessarily they all will be in same plane

(B) Lines m, n and p are in different planes - INCORRECT
Reasons: m, n and p could all be in one plane as well

(C) Line m is parallel to line n - CORRECT
Since m and p are parallel on one part and n and p are parallel on other plane then there must be a plane containing lines n and m as well hence they must be parallel not necessarily in the same plane containing line p as well

(D) Line m is the same line as line n - INCORRECT

(E) Line m is the same line as line p - INCORRECT

ANswer: Option C

---------------------------------------------------
Why cannot m, n, p be on the same plane? In the question it states that m & n are both // to p. C is true but why can't A be true?
User avatar
B
summerbummer
Manager
Manager
Joined: 16 Jul 2020
Posts: 56
Own Kudos [?]: 10 [0]
Given Kudos: 138
Location: India
GMAT 1: 520 Q39 V23
GMAT 2: 600 Q42 V30
Send PM
Re: If each of the two lines L1 and L2 is parallel to line L3, which of th [#permalink] New post   15 Jun 2022, 08:39
summerbummer wrote:
GMATinsight wrote:
Bunuel wrote:
If each of the two lines m and n are parallel to line p, which of the following must be true?

(A) Lines m, n and p lie in the same plane
(B) Lines m, n and p are in different planes
(C) Line m is parallel to line n
(D) Line m is the same line as line n
(E) Line m is the same line as line p


(A) Lines m, n and p lie in the same plane - INCORRECT
Reasons: m and p could be in one plane and n and p could be in another plane hence not necessarily they all will be in same plane

(B) Lines m, n and p are in different planes - INCORRECT
Reasons: m, n and p could all be in one plane as well

(C) Line m is parallel to line n - CORRECT
Since m and p are parallel on one part and n and p are parallel on other plane then there must be a plane containing lines n and m as well hence they must be parallel not necessarily in the same plane containing line p as well

(D) Line m is the same line as line n - INCORRECT

(E) Line m is the same line as line p - INCORRECT

ANswer: Option C

---------------------------------------------------
Why cannot m, n, p be on the same plane? In the question it states that m & n are both // to p. C is true but why can't A be true?



Bunuel please help?
User avatar
G
ThatDudeKnows
Tutor
Joined: 11 May 2022
Posts: 1092
Own Kudos [?]: 697 [0]
Given Kudos: 81
Send PM
Re: If each of the two lines L1 and L2 is parallel to line L3, which of th [#permalink] New post   15 Jun 2022, 09:05
Expert Reply
summerbummer wrote:
GMATinsight wrote:
Bunuel wrote:
If each of the two lines m and n are parallel to line p, which of the following must be true?

(A) Lines m, n and p lie in the same plane
(B) Lines m, n and p are in different planes
(C) Line m is parallel to line n
(D) Line m is the same line as line n
(E) Line m is the same line as line p


(A) Lines m, n and p lie in the same plane - INCORRECT
Reasons: m and p could be in one plane and n and p could be in another plane hence not necessarily they all will be in same plane

(B) Lines m, n and p are in different planes - INCORRECT
Reasons: m, n and p could all be in one plane as well

(C) Line m is parallel to line n - CORRECT
Since m and p are parallel on one part and n and p are parallel on other plane then there must be a plane containing lines n and m as well hence they must be parallel not necessarily in the same plane containing line p as well

(D) Line m is the same line as line n - INCORRECT

(E) Line m is the same line as line p - INCORRECT

ANswer: Option C

---------------------------------------------------
Why cannot m, n, p be on the same plane? In the question it states that m & n are both // to p. C is true but why can't A be true?


summerbummer

Does the question ask us for answer choice that CAN be true or one that MUST be true? ;)

All of the answer choices CAN be true...but only one (C) MUST be.
GMAT Club Bot
gmatclubot
Re: If each of the two lines L1 and L2 is parallel to line L3, which of th [#permalink]
15 Jun 2022, 09:05
Moderators:
Bunuel
Math Expert
92912 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions