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

It is currently 16 Oct 2019, 05:54

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 university cafeteria offers 4 flavors of pizza – pepperoni, chicken,

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

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
Joined: 22 Sep 2011
Posts: 27
GMAT ToolKit User
A university cafeteria offers 4 flavors of pizza – pepperoni, chicken,  [#permalink]

Show Tags

New post Updated on: 12 Oct 2014, 02:43
2
16
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

63% (01:01) correct 37% (00:53) wrong based on 497 sessions

HideShow timer Statistics

A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ?

(A) 4
(B) 8
(C) 12
(D) 16
(E) 32

Originally posted by jrymbei on 11 Oct 2014, 16:49.
Last edited by Bunuel on 12 Oct 2014, 02:43, edited 1 time in total.
Renamed the topic and edited the question.
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58384
Re: A university cafeteria offers 4 flavors of pizza – pepperoni, chicken,  [#permalink]

Show Tags

New post 12 Oct 2014, 02:47
4
5
jrymbei wrote:
A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ?

(A) 4
(B) 8
(C) 12
(D) 16
(E) 32


There are 4 flavors of pizza and each can be:
1. Without cheese and mushrooms;
2. With cheese;
3. With mushrooms;
4. With cheese and mushrooms.

So, the total number of pizza varieties is 4*4 = 16.

Answer: D.
_________________
General Discussion
Retired Moderator
avatar
B
Status: On a mountain of skulls, in the castle of pain, I sit on a throne of blood.
Joined: 30 Jul 2013
Posts: 300
GMAT ToolKit User Reviews Badge
Re: A university cafeteria offers 4 flavors of pizza – pepperoni, chicken,  [#permalink]

Show Tags

New post 12 Oct 2014, 02:53
4 flavours * 4 choices = 4C1*4C1 = 4*4=16

Note: The question says in that among the options of cheese, mushroom or both, they have the choice but not the obligation of picking the option. So we have a 4 options - cheese, mushroom, both or *none*.
Senior Manager
Senior Manager
avatar
Joined: 21 Dec 2009
Posts: 457
Concentration: Entrepreneurship, Finance
Re: A university cafeteria offers 4 flavors of pizza – pepperoni, chicken,  [#permalink]

Show Tags

New post 19 Nov 2014, 07:43
In this case, if it becomes obligatory to add either cheese, mushroom, or both.
Then the "none" varieties will be 0.

Total varieties would then be 12.
_________________
KUDOS me if you feel my contribution has helped you.
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15262
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: A university cafeteria offers 4 flavors of pizza – pepperoni, chicken,  [#permalink]

Show Tags

New post 13 Feb 2018, 22:45
1
Hi All,

From the answer choices, we know that the number of total possibilities is limited, so we can 'map them' all out:

4 types of pizza and 4 options per pizza:

Pepperoni - as is, extra cheese, mushrooms, BOTH cheese/mushrooms = 4 options
Chicken - as is, extra cheese, mushrooms, BOTH cheese/mushrooms = 4 options
Hawaiian - as is, extra cheese, mushrooms, BOTH cheese/mushrooms = 4 options
Vegetarian - as is, extra cheese, mushrooms, BOTH cheese/mushrooms = 4 options

Total = 4+4+4+4 = 16 varieties

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com
Image


The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8069
Location: United States (CA)
Re: A university cafeteria offers 4 flavors of pizza – pepperoni, chicken,  [#permalink]

Show Tags

New post 15 Feb 2018, 11:04
jrymbei wrote:
A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ?

(A) 4
(B) 8
(C) 12
(D) 16
(E) 32


We are given 4 flavors for pizza and there are 4 options for each flavor: no toppings, cheese-only, mushrooms-only, and both toppings. Thus, we have 4 x 4 = 16 different pizzas possible.

Answer: D
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 12 Sep 2015
Posts: 4003
Location: Canada
Re: A university cafeteria offers 4 flavors of pizza – pepperoni, chicken,  [#permalink]

Show Tags

New post 06 Dec 2018, 17:13
Top Contributor
jrymbei wrote:
A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ?

(A) 4
(B) 8
(C) 12
(D) 16
(E) 32


Take the task of building a pizza and break it into stages.

Stage 1: Choose one of the flavors
There are 4 flavors of pizza (pepperoni, chicken, Hawaiian and vegetarian), so we can complete stage 1 in 4 ways

Stage 2: Choose whether to add extra cheese
We can either add extra cheese or not add extra cheese, so we can complete stage 2 in 2 ways.

Stage 3: Choose whether to add mushrooms
We can either add mushrooms or not mushrooms, so we can complete stage 3 in 2 ways.

By the Fundamental Counting Principle (FCP) we can complete all 3 stages (and thus build a pizza) in (4)(2)(2) ways (= 16 ways)

Answer: D

Note: the FCP can be used to solve the MAJORITY of counting questions on the GMAT. So, be sure to learn it.

RELATED VIDEOS



_________________
Test confidently with gmatprepnow.com
Image
GMAT Club Bot
Re: A university cafeteria offers 4 flavors of pizza – pepperoni, chicken,   [#permalink] 06 Dec 2018, 17:13
Display posts from previous: Sort by

A university cafeteria offers 4 flavors of pizza – pepperoni, chicken,

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





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