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

It is currently 13 Oct 2019, 13:56

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

A single slice cut from the center of a circular pizza has an edge len

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58335
A single slice cut from the center of a circular pizza has an edge len  [#permalink]

Show Tags

New post 30 Oct 2018, 02:50
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

17% (03:38) correct 83% (02:27) wrong based on 18 sessions

HideShow timer Statistics

A single slice cut from the center of a circular pizza has an edge length (from the center of the pizza to the edge of the crust) of 5″, has an arc length of 1.25π″, and weighs 4 ounces. If a serving weighs 8 ounces, then, to the nearest integer, what is the largest number of servings that six 6″ diameter pizzas can yield? (Note that servings must weigh 8 ounces, but they do not need to be equal in shape.)

A. 1
B. 4
C. 6
D. 8
E. 9

_________________
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 7940
A single slice cut from the center of a circular pizza has an edge len  [#permalink]

Show Tags

New post 30 Oct 2018, 21:13
Bunuel wrote:
A single slice cut from the center of a circular pizza has an edge length (from the center of the pizza to the edge of the crust) of 5″, has an arc length of 1.25π″, and weighs 4 ounces. If a serving weighs 8 ounces, then, to the nearest integer, what is the largest number of servings that six 6″ diameter pizzas can yield? (Note that servings must weigh 8 ounces, but they do not need to be equal in shape.)

A. 1
B. 4
C. 6
D. 8
E. 9


The Timer shows all 5 wrong so the solution is here

We have to find the weight per unit of area

So radius =5, circumference =2*π*5=10π
The circumference is 1.25π or \(10π/1.25π\)=8th part of entire pizza, so the area of slice will be 1/8 of that of pizza= \(\frac{π*5^2}{8}\)=25π/8 but this is 4 ounce, so double of it or 25π/4 will give 8ounces

Now area of 6 pizzas with radius 3=\(6*π*3^2=54π\)
Number of slices of 8ounces =\(54π/\frac{25π}{8}\)=\(\frac{4*54}{25}\)=4*2.16=8.64
Therefore 8 slices

D
_________________
GMAT Club Bot
A single slice cut from the center of a circular pizza has an edge len   [#permalink] 30 Oct 2018, 21:13
Display posts from previous: Sort by

A single slice cut from the center of a circular pizza has an edge len

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





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