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

It is currently 24 Jan 2019, 00:40

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
  • Key Strategies to Master GMAT SC

     January 26, 2019

     January 26, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.
  • Free GMAT Number Properties Webinar

     January 27, 2019

     January 27, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.

M22-25

  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: 52442
M22-25  [#permalink]

Show Tags

New post 16 Sep 2014, 00:17
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

61% (00:45) correct 39% (00:35) wrong based on 140 sessions

HideShow timer Statistics

If a circle is inscribed in a square, what is the ratio of the diagonal of the square to the radius of the circle?

A. \(\frac{1}{2}\)
B. \(\frac{1}{\sqrt{2}}\)
C. \(\sqrt{2}\)
D. 2
E. \(2\sqrt{2}\)

_________________

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

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52442
Re M22-25  [#permalink]

Show Tags

New post 16 Sep 2014, 00:17
Official Solution:

If a circle is inscribed in a square, what is the ratio of the diagonal of the square to the radius of the circle?

A. \(\frac{1}{2}\)
B. \(\frac{1}{\sqrt{2}}\)
C. \(\sqrt{2}\)
D. 2
E. \(2\sqrt{2}\)

If \(x\) is the side of the square, then the diagonal of the square is \(\sqrt{2}x\) and the radius of the circle is \(\frac{x}{2}\). The required ratio \(= \frac{\sqrt{2}x}{\frac{x}{2}} = 2\sqrt{2}\).

Answer: E
_________________

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: 01 Jan 2017
Posts: 1
Re: M22-25  [#permalink]

Show Tags

New post 17 Mar 2017, 11:00
I didn't get it :(
Study Buddy Forum Moderator
User avatar
V
Joined: 04 Sep 2016
Posts: 1299
Location: India
WE: Engineering (Other)
Premium Member CAT Tests
M22-25  [#permalink]

Show Tags

New post 18 Dec 2017, 09:08
Bunuel niks18

Quote:
If \(x\) is the side of the square, then the diagonal of the square is \(\sqrt{2}x\)

This is simple application of Pythagoras theorem


Quote:
and the radius of the circle is \(\frac{x}{2}\). The required ratio \(= \frac{\sqrt{2}x}{\frac{x}{2}} = 2\sqrt{2}\).

Is this from the property that side of square = diameter for circle inscribed in triangle?
_________________

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

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52442
M22-25  [#permalink]

Show Tags

New post 18 Dec 2017, 09:15
adkikani wrote:
Bunuel niks18

Quote:
If \(x\) is the side of the square, then the diagonal of the square is \(\sqrt{2}x\)

This is simple application of Pythagoras theorem


Quote:
and the radius of the circle is \(\frac{x}{2}\). The required ratio \(= \frac{\sqrt{2}x}{\frac{x}{2}} = 2\sqrt{2}\).

Is this from the property that side of square = diameter for circle inscribed in triangle?


The diagonal of the square is: \(diagonal^2=side^2+side^2=x^2 + x^2\) --> \(diagonal=\sqrt{2}x\)

When a circle is inscribed in a square, the side of a square = the diameter of the circle, so the radius of the circle is \(\frac{side}{2}\).
_________________

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

Senior Manager
Senior Manager
User avatar
S
Joined: 08 Jun 2015
Posts: 432
Location: India
GMAT 1: 640 Q48 V29
GMAT 2: 700 Q48 V38
GPA: 3.33
Premium Member Reviews Badge
Re: M22-25  [#permalink]

Show Tags

New post 26 Jan 2018, 07:40
+1 for option E
_________________

" The few , the fearless "

GMAT Club Bot
Re: M22-25 &nbs [#permalink] 26 Jan 2018, 07:40
Display posts from previous: Sort by

M22-25

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

Moderators: chetan2u, Bunuel



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®.