GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 16 Jan 2019, 20:56

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winning strategy for a high GRE score

     January 17, 2019

     January 17, 2019

     08:00 AM PST

     09:00 AM PST

    Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52164
Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters  [#permalink]

Show Tags

New post 19 Nov 2018, 23:39
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

55% (00:54) correct 45% (01:07) wrong based on 119 sessions

HideShow timer Statistics

Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters, how many different triangles can be made using one rod for each side?

A. 6
B. 4
C. 3
D. 2
E. 1

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

VP
VP
User avatar
G
Joined: 18 Aug 2017
Posts: 1162
Location: India
Concentration: Sustainability, Marketing
WE: Marketing (Energy and Utilities)
CAT Tests
Re: Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters  [#permalink]

Show Tags

New post 20 Nov 2018, 05:29
Bunuel wrote:
Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters, how many different triangles can be made using one rod for each side?

A. 6
B. 4
C. 3
D. 2
E. 1


Triangle rule length : third side< 2nd and 1st side
in this case only 1 case is possible 5+3>7 so IMO E
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

Senior Manager
Senior Manager
User avatar
S
Status: love the club...
Joined: 24 Mar 2015
Posts: 272
Re: Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters  [#permalink]

Show Tags

New post 04 Dec 2018, 06:40
Archit3110 wrote:
Bunuel wrote:
Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters, how many different triangles can be made using one rod for each side?

A. 6
B. 4
C. 3
D. 2
E. 1


Triangle rule length : third side< 2nd and 1st side
in this case only 1 case is possible 5+3>7 so IMO E


hi

what about 7 + 1 > 3 ...?

thanks
VP
VP
User avatar
G
Joined: 18 Aug 2017
Posts: 1162
Location: India
Concentration: Sustainability, Marketing
WE: Marketing (Energy and Utilities)
CAT Tests
Re: Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters  [#permalink]

Show Tags

New post 04 Dec 2018, 08:03
1
testcracker wrote:
Archit3110 wrote:
Bunuel wrote:
Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters, how many different triangles can be made using one rod for each side?

A. 6
B. 4
C. 3
D. 2
E. 1


Triangle rule length : third side< 2nd and 1st side
in this case only 1 case is possible 5+3>7 so IMO E


hi

what about 7 + 1 > 3 ...?

thanks


Triangle rule states sum of two sides> third side ...

Could you please identify which is third side and other two side below as per ?
7 + 1 > 3

You have taken sum of largest and smallest side ... Which isn't correct... Hope this helps.

Posted from my mobile device
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

Senior Manager
Senior Manager
User avatar
S
Status: love the club...
Joined: 24 Mar 2015
Posts: 272
Re: Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters  [#permalink]

Show Tags

New post 04 Dec 2018, 08:47
testcracker wrote:
Archit3110 wrote:
Bunuel wrote:
Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters, how many different triangles can be made using one rod for each side?

A. 6
B. 4
C. 3
D. 2
E. 1


Triangle rule length : third side< 2nd and 1st side
in this case only 1 case is possible 5+3>7 so IMO E


hi

what about 7 + 1 > 3 ...?

thanks


Archit3110
hi

My bad, got it!
thanks a lot +1

actually I think you wanted to mean, the sum of ANY 2 sides of a triangle is greater than the third side

thanks again, take care
CEO
CEO
User avatar
D
Joined: 11 Sep 2015
Posts: 3326
Location: Canada
Re: Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters  [#permalink]

Show Tags

New post 31 Dec 2018, 10:24
1
Top Contributor
1
Bunuel wrote:
Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters, how many different triangles can be made using one rod for each side?

A. 6
B. 4
C. 3
D. 2
E. 1


IMPORTANT RULE: If two sides of a triangle have lengths A and B, then . . .
DIFFERENCE between A and B < length of third side < SUM of A and B

Let's focus on this part: length of third side < SUM of A and B
We can also say that the length of LONGEST side must be less than the SUM of the other two sides

Let's systematically go through all possible combinations of 3 sides

case a) the LONGEST side has a length of 7 meters
So, 7 must be less than the SUM of the other two sides
This means the remaining 2 sides must have lengths 3 and 5 meters
So, a triangle with lengths 3-5-7 is POSSIBLE
This is the ONLY possible configuration in which the LONGEST side has a length of 7 meters

case b) the LONGEST side has a length of 5 meters
So, 5 must be less than the SUM of the other two (shorter) sides
If 5 is the longest side, then the other 2 sides must have lengths of 1 and 3 meters
HOWEVER, this breaks our rule that says the length of LONGEST side must be less than the SUM of the other two sides
So, we CANNOT have a triangle in which the LONGEST side has a length of 5 meters

case c) the LONGEST side has a length of 3 meters
This cannot work, since there's only one rod that has a length that's less than 1

case d) the LONGEST side has a length of 1 meters
This cannot work

So, there's only 1 possible triangle that can be created.

Answer: E

RELATED VIDEO FROM OUR COURSE

_________________

Test confidently with gmatprepnow.com
Image

Intern
Intern
avatar
B
Joined: 24 Nov 2018
Posts: 1
Re: Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters  [#permalink]

Show Tags

New post 01 Jan 2019, 22:29
Archit3110 wrote:
Bunuel wrote:
Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters, how many different triangles can be made using one rod for each side?

A. 6
B. 4
C. 3
D. 2
E. 1


Triangle rule length : third side< 2nd and 1st side
in this case only 1 case is possible 5+3>7 so IMO E



We can have two triangles in the configuration 5-3-7.
1) 5-3-7
2) 3-5-7
So, I think the answer should be D
Correct me if I am wrong
CEO
CEO
User avatar
D
Joined: 11 Sep 2015
Posts: 3326
Location: Canada
Re: Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters  [#permalink]

Show Tags

New post 02 Jan 2019, 06:05
Top Contributor
hannan4644 wrote:

We can have two triangles in the configuration 5-3-7.
1) 5-3-7
2) 3-5-7
So, I think the answer should be D
Correct me if I am wrong


Those 2 triangles are considered the same. So, we can only counted them once.

Cheers,
Brent
_________________

Test confidently with gmatprepnow.com
Image

VP
VP
User avatar
G
Joined: 18 Aug 2017
Posts: 1162
Location: India
Concentration: Sustainability, Marketing
WE: Marketing (Energy and Utilities)
CAT Tests
Re: Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters  [#permalink]

Show Tags

New post 02 Jan 2019, 15:44
hannan4644 wrote:
Archit3110 wrote:
Bunuel wrote:
Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters, how many different triangles can be made using one rod for each side?

A. 6
B. 4
C. 3
D. 2
E. 1


Triangle rule length : third side< 2nd and 1st side
in this case only 1 case is possible 5+3>7 so IMO E



We can have two triangles in the configuration 5-3-7.
1) 5-3-7
2) 3-5-7
So, I think the answer should be D
Correct me if I am wrong


hannan4644

Writing the triangle as either way doesnt make the triangle different in anyway... it would be same triangle only.
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

GMAT Club Bot
Re: Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters &nbs [#permalink] 02 Jan 2019, 15:44
Display posts from previous: Sort by

Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.