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

It is currently 19 Nov 2018, 02:12

INSEAD R1 Results This Week!

First Decision Reported on Decision Tracker  |  Join INSEAD Chat to Calm Your Nerves & Catch the Latest Action


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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • How to QUICKLY Solve GMAT Questions - GMAT Club Chat

     November 20, 2018

     November 20, 2018

     09:00 AM PST

     10:00 AM PST

    The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.
  • The winning strategy for 700+ on the GMAT

     November 20, 2018

     November 20, 2018

     06:00 PM EST

     07:00 PM EST

    What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

If the circumference of a circle inscribed in a square is 25π, what is

  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: 50660
If the circumference of a circle inscribed in a square is 25π, what is  [#permalink]

Show Tags

New post 22 Jun 2018, 00:27
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

81% (00:48) correct 19% (00:54) wrong based on 342 sessions

HideShow timer Statistics

If the circumference of a circle inscribed in a square is 25π, what is the perimeter of the square?


A. 20

B. 25

C. 40

D. 50

E. 100


NEW question from GMAT® Official Guide 2019


(PS12542)

_________________

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
B
Joined: 21 May 2017
Posts: 42
Re: If the circumference of a circle inscribed in a square is 25π, what is  [#permalink]

Show Tags

New post 22 Jun 2018, 01:13
1
Answer is E.

Diameter of circle = Side of square.
Let diameter be d and side be s.
Circumference = πd = 25π
So, d = 25 = s.
Perimeter = 4s = 100

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
Intern
Intern
avatar
B
Joined: 03 Aug 2014
Posts: 18
Re: If the circumference of a circle inscribed in a square is 25π, what is  [#permalink]

Show Tags

New post 22 Jun 2018, 01:13
πD = 25π => diameter is 25.
Therefore, side of square = 25.
Perimeter = 4*side = 100

Sent from my Pixel using GMAT Club Forum mobile app
e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 2203
Re: If the circumference of a circle inscribed in a square is 25π, what is  [#permalink]

Show Tags

New post 22 Jun 2018, 03:39

Solution



Given:
    • The circumference of a circle inscribed in a square is 25π

To find:
    • The perimeter of the square

Approach and Working:
When a circle is inscribed in a square, the diameter of the circle is equal to the length of the side of the square

Image

If r is the radius of the circle, then
    • 2πr = 25π
    Or, 2r = 25

Therefore, we can say, length of the side of the square = 25
    • Perimeter of the square = 25 * 4 = 100

Hence, the correct answer is option E.

Answer: E
_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-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

CEO
CEO
User avatar
D
Joined: 11 Sep 2015
Posts: 3122
Location: Canada
Re: If the circumference of a circle inscribed in a square is 25π, what is  [#permalink]

Show Tags

New post 23 Jun 2018, 08:10
Top Contributor
Bunuel wrote:
If the circumference of a circle inscribed in a square is 25π, what is the perimeter of the square?


A. 20

B. 25

C. 40

D. 50

E. 100


We have the following:
Image

The perimeter of the circle = 25π

We can see that the perimeter of the square is GREATER THAN the perimeter of the circle

25π ≈ (25)(3) ≈ 75
So, the perimeter of the square is GREATER THAN 25π

Check the answer choices....only one answer choice works.

Answer: E

Cheers,
Brent
_________________

Test confidently with gmatprepnow.com
Image

Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: If the circumference of a circle inscribed in a square is 25π, what is  [#permalink]

Show Tags

New post 27 Jun 2018, 17:06
Bunuel wrote:
If the circumference of a circle inscribed in a square is 25π, what is the perimeter of the square?


A. 20

B. 25

C. 40

D. 50

E. 100


When a circle is inscribed in a square, the diameter of the circle is equal to the side of the square.

Since circumference = πd, we have:

πd = 25π

d = 25 = side of the square

Thus, the perimeter of the square is 25 x 4 = 100.

Answer: E
_________________

Jeffery Miller
Head of GMAT Instruction

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

GMAT Club Bot
Re: If the circumference of a circle inscribed in a square is 25π, what is &nbs [#permalink] 27 Jun 2018, 17:06
Display posts from previous: Sort by

If the circumference of a circle inscribed in a square is 25π, what is

  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®.