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

It is currently 19 Jun 2018, 07:38

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

Events & Promotions in June
Open Detailed Calendar

A spotlight on the ceiling is 5 feet from one wall of a room and 10

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46164
A spotlight on the ceiling is 5 feet from one wall of a room and 10 [#permalink]

Show Tags

New post 08 Mar 2018, 02:20
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

96% (00:56) correct 4% (00:02) wrong based on 23 sessions

HideShow timer Statistics

A spotlight on the ceiling is 5 feet from one wall of a room and 10 feet from the wall at right angles to it. How many feet is it from the intersection of the two walls?

(A) 15

(B) \(5\sqrt{2}\)

(C) \(5\sqrt{5}\)

(D) \(10\sqrt{2}\)

(E) \(10\sqrt{5}\)

_________________

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

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46164
Re: A spotlight on the ceiling is 5 feet from one wall of a room and 10 [#permalink]

Show Tags

New post 08 Mar 2018, 02:21
Bunuel wrote:
A spotlight on the ceiling is 5 feet from one wall of a room and 10 feet from the wall at right angles to it. How many feet is it from the intersection of the two walls?

(A) 15

(B) \(5\sqrt{2}\)

(C) \(5\sqrt{5}\)

(D) \(10\sqrt{2}\)

(E) \(10\sqrt{5}\)


23. Geometry




24. Coordinate Geometry




25. Triangles




26. Polygons




27. Circles




28. Rectangular Solids and Cylinders




29. Graphs and Illustrations




For other subjects:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread
_________________

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

BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 2816
Location: India
GPA: 3.12
Premium Member
Re: A spotlight on the ceiling is 5 feet from one wall of a room and 10 [#permalink]

Show Tags

New post 08 Mar 2018, 04:01
Attachment:
RtAngledTri.png
RtAngledTri.png [ 2.67 KiB | Viewed 228 times ]


Since the spotlight is 5 feet from one wall and 10 feet from another wall,
which is at right angles, the distance from the intersection of the two walls
can be calculated using the Pythogoras theorem

\(x^2 = 5^2 + 10^2\)
\(x^2 = 25 + 100 = 125\)
x = \(\sqrt{125} = 5\sqrt{5}\)

Therefore, the distance between the intersection of the walls and the spotlight is \(5\sqrt{5}\) (Option C)
_________________

You've got what it takes, but it will take everything you've got

Expert Post
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2570
Re: A spotlight on the ceiling is 5 feet from one wall of a room and 10 [#permalink]

Show Tags

New post 12 Mar 2018, 10:09
Bunuel wrote:
A spotlight on the ceiling is 5 feet from one wall of a room and 10 feet from the wall at right angles to it. How many feet is it from the intersection of the two walls?

(A) 15

(B) \(5\sqrt{2}\)

(C) \(5\sqrt{5}\)

(D) \(10\sqrt{2}\)

(E) \(10\sqrt{5}\)


We can use the Pythagorean theorem, where c is the distance of the spotlight from the intersection of the two walls, and create the following equation:

5^2 + 10^2 = c^2

25 + 100 = c^2

125 = c^2

c = √125 = √25 x √5 = 5√5

Answer: C
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: A spotlight on the ceiling is 5 feet from one wall of a room and 10   [#permalink] 12 Mar 2018, 10:09
Display posts from previous: Sort by

A spotlight on the ceiling is 5 feet from one wall of a room and 10

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


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®.