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

It is currently 21 Feb 2019, 20:07

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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Online GMAT boot camp for FREE

     February 21, 2019

     February 21, 2019

     10:00 PM PST

     11:00 PM PST

    Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
  • Free GMAT RC Webinar

     February 23, 2019

     February 23, 2019

     07:00 AM PST

     09:00 AM PST

    Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

A squirrel climbs a straight wire from point A to point C. If B is the

  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: 53063
A squirrel climbs a straight wire from point A to point C. If B is the  [#permalink]

Show Tags

New post 30 Mar 2015, 04:19
13
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

57% (01:17) correct 43% (01:33) wrong based on 281 sessions

HideShow timer Statistics

Image
A squirrel climbs a straight wire from point A to point C. If B is the midpoint of AC, how far above the ground is point B?

(1) Point C is 40 feet above the ground.

(2) x = 60

Kudos for a correct solution.

Attachment:
squirrelonwire_figure.PNG
squirrelonwire_figure.PNG [ 4.32 KiB | Viewed 3339 times ]

_________________

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

Manager
Manager
avatar
Joined: 18 Dec 2014
Posts: 99
Re: A squirrel climbs a straight wire from point A to point C. If B is the  [#permalink]

Show Tags

New post 30 Mar 2015, 04:29
1
1
A squirrel climbs a straight wire from point A to point C. If B is the midpoint of AC, how far above the ground is point B?

(1) Point C is 40 feet above the ground.

(2) x = 60


1) Insufficient, no information about the line
2) Insufficient, no information about the highest point
1+2) Information about the line (it's linear, so it's rising equally?) and the highest point is 40. Since you know B is the midpoint, 40/2 = 20. B is 20 feet above the ground.

C.
Intern
Intern
avatar
Joined: 17 Feb 2015
Posts: 27
GPA: 3
Reviews Badge
Re: A squirrel climbs a straight wire from point A to point C. If B is the  [#permalink]

Show Tags

New post 30 Mar 2015, 04:52
3
Option A. Statement 1 alone is sufficient.

1. point C is 40 feet above ground.

Let \(C_1\) by point on ground directly below \(C\)and \(B_1\) be point directly below \(B\).

\(\triangle ABB_1\) is similar to \(\triangle ACC_1\)

\(Therefore \frac{AB}{AC} = \frac{BB_1}{CC_1}\)

Therefore \(BB_1\) = 20


2. x = 60, alone is not sufficient.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53063
Re: A squirrel climbs a straight wire from point A to point C. If B is the  [#permalink]

Show Tags

New post 06 Apr 2015, 04:27
1
Bunuel wrote:
Image
A squirrel climbs a straight wire from point A to point C. If B is the midpoint of AC, how far above the ground is point B?

(1) Point C is 40 feet above the ground.

(2) x = 60

Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:
Attachment:
squirrelonwire_text.PNG
squirrelonwire_text.PNG [ 18.42 KiB | Viewed 3033 times ]

_________________

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

Intern
Intern
avatar
Joined: 13 Nov 2014
Posts: 6
Re: A squirrel climbs a straight wire from point A to point C. If B is the  [#permalink]

Show Tags

New post 12 Apr 2015, 09:49
Hi, Is this a rule? As in; if the squirrel had travelled 1/4 of the distance would he stand 10m above the ground?
Intern
Intern
avatar
Joined: 11 Apr 2013
Posts: 12
Re: A squirrel climbs a straight wire from point A to point C. If B is the  [#permalink]

Show Tags

New post 19 Apr 2015, 10:08
4
tgubbay1 wrote:
Hi, Is this a rule? As in; if the squirrel had travelled 1/4 of the distance would he stand 10m above the ground?

hi tgubbay,
It is called properties of similar triangles i.e if two triangles are similar than their angles are equal and their sides are in proportion suppose c makes a point c1 on ground and b makes a point b1 on ground then ab/bb1= ac/cc1 and the answer to your question is yes b will be 10 just plug in the values in the ratios.

hope it helps
e-GMAT Representative
User avatar
D
Joined: 04 Jan 2015
Posts: 2593
Re: A squirrel climbs a straight wire from point A to point C. If B is the  [#permalink]

Show Tags

New post 20 Apr 2015, 10:04
1
anshul2014 wrote:
tgubbay1 wrote:
Hi, Is this a rule? As in; if the squirrel had travelled 1/4 of the distance would he stand 10m above the ground?

hi tgubbay,
It is called properties of similar triangles i.e if two triangles are similar than their angles are equal and their sides are in proportion suppose c makes a point c1 on ground and b makes a point b1 on ground then ab/bb1= ac/cc1 and the answer to your question is yes b will be 10 just plug in the values in the ratios.

hope it helps


Hi tgubbay1 - let me explain to you how the ratio of the sides was arrived at.

Image

If you look at the figure, you can observe that in triangle ACE which is a right angled triangle, we can write \(Sin x = \frac{CE}{AC}\)

Similarly, in triangle ABD which is also a right angled triangle, we can write \(Sin x = \frac{BD}{AB}\)

From the above two equations, we can write \(\frac{CE}{AC} = \frac{BD}{AB}\). Since we know that \(AB= \frac{AC}{2}\), we can simplify the expression to \(BD = \frac{CE}{2}\). Thus, to find the value of BD, we need to know the value of CE, which is given to us by st-I.

Hence, had AB been equal to \(\frac{AC}{4}\), BD would also have been equal to \(\frac{CE}{4}\).

Hope it helps!

Regards
Harsh
_________________








Register for free sessions
Number Properties:- Get 5 free video lessons, 50 practice questions | Algebra:-Get 4 free video lessons, 40 practice questions
Quant Workshop:- Get 100 practice questions | Free Strategy Weession:- Key strategy to score 760

Success Stories
Q38 to Q50 | Q35 to Q50 | More Success Stories

Ace GMAT
Articles and Question to reach Q51 | Question of the week | Tips From V40+ Scoreres | V27 to V42:- GMAT 770 | Guide to Get into ISB-MBA

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Study Buddy Forum Moderator
User avatar
V
Joined: 04 Sep 2016
Posts: 1300
Location: India
WE: Engineering (Other)
Premium Member CAT Tests
Re: A squirrel climbs a straight wire from point A to point C. If B is the  [#permalink]

Show Tags

New post 16 Dec 2017, 22:40
niks18 Bunuel

regarding approach of shreyast

Quote:
1. point C is 40 feet above ground.

Let \(C_1\) by point on ground directly below \(C\)and \(B_1\) be point directly below \(B\).

\(\triangle ABB_1\) is similar to \(\triangle ACC_1\)

\(Therefore \frac{AB}{AC} = \frac{BB_1}{CC_1}\)

Therefore \(BB_1\) = 20



We can only take ratio of two sides in same triangle, did the user missed this step (although end result would be the same)


\(\frac{AC}{CC_1} = \frac{AB}{BB_1}\)

Regarding approach by EgmatQuantExpert trigonometry is not included in GMAT but concept of similar triangles by using side and angles property is.
_________________

It's the journey that brings us happiness not the destination.

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53063
Re: A squirrel climbs a straight wire from point A to point C. If B is the  [#permalink]

Show Tags

New post 16 Dec 2017, 23:51
adkikani wrote:
niks18 Bunuel

regarding approach of shreyast

Quote:
1. point C is 40 feet above ground.

Let \(C_1\) by point on ground directly below \(C\)and \(B_1\) be point directly below \(B\).

\(\triangle ABB_1\) is similar to \(\triangle ACC_1\)

\(Therefore \frac{AB}{AC} = \frac{BB_1}{CC_1}\)

Therefore \(BB_1\) = 20



We can only take ratio of two sides in same triangle, did the user missed this step (although end result would be the same)


\(\frac{AC}{CC_1} = \frac{AB}{BB_1}\)

Regarding approach by EgmatQuantExpert trigonometry is not included in GMAT but concept of similar triangles by using side and angles property is.


If \(ABC\) is similar to \(A'B'C'\), then \(\frac{AB}{A'B'}=\frac{AC}{A'C'}=\frac{BC}{B'C'}\) from here it follows that \(\frac{AB}{AC}=\frac{A'B'}{A'C'}\), \(\frac{AB}{BC}=\frac{A'B'}{B'C'}\), \(\frac{AC}{BC}=\frac{AC}{B'C'}\).
_________________

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

Manager
Manager
avatar
B
Joined: 12 Apr 2011
Posts: 77
Location: United Arab Emirates
Concentration: Strategy, Marketing
Schools: CBS '21, Yale '21, INSEAD
GMAT 1: 670 Q50 V31
WE: Marketing (Telecommunications)
Re: A squirrel climbs a straight wire from point A to point C. If B is the  [#permalink]

Show Tags

New post 29 Jan 2019, 07:33
Bunuel wrote:
Image
A squirrel climbs a straight wire from point A to point C. If B is the midpoint of AC, how far above the ground is point B?

(1) Point C is 40 feet above the ground.

(2) x = 60

Kudos for a correct solution.

Attachment:
squirrelonwire_figure.PNG


Use the midpoint theorem we studied in school/college.

In the triangle provided consider the points from B&C hitting the ground as D&E.

Hence we have two triangles -> ACE & ABD. Since B is the midpoint of AC and CE||BD from the midpoint theorem we know that D is the midpoint of AE and also CE=2BD.

Actually, the midpoint theorem stems from the concept of similar triangles and all the sides in the 2 triangles will be in the ratio 1:2

hence CE = 2BD, AC = 2AB = 2BC, AE = 2DE = 2AD

So we can conclude if we know any one of the sides we can know the corresponding side of the other triangle. Here we know CE and hence can calculate BD.

Hence A is the correct answer.
_________________

Hit Kudos if you like what you see!

GMAT Club Bot
Re: A squirrel climbs a straight wire from point A to point C. If B is the   [#permalink] 29 Jan 2019, 07:33
Display posts from previous: Sort by

A squirrel climbs a straight wire from point A to point C. If B is the

  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®.