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

It is currently 18 Jul 2018, 09:46

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

Shaun is starting a new diet plan that offers him the choice of fruit

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

Hide Tags

1 KUDOS received
Intern
Intern
avatar
B
Joined: 14 Jan 2016
Posts: 31
Location: India
Concentration: General Management, Entrepreneurship
Shaun is starting a new diet plan that offers him the choice of fruit [#permalink]

Show Tags

New post Updated on: 08 Sep 2016, 09:04
1
5
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

63% (02:22) correct 37% (02:05) wrong based on 68 sessions

HideShow timer Statistics

Shaun is starting a new diet plan that offers him the choice of fruit or yogurt for breakfast, 6 different entrees for lunch, and 9 different entrees for dinner. If Shaun chooses an Italian entree for lunch, he always chooses an Italian entree for dinner. If Shaun chooses a Chinese entree for lunch, he never chooses a Chinese entree for dinner. If there are 2 Italian entrees and 2 Chinese entrees among the lunch choices, and 3 Italian entrees and 3 Chinese entrees among the dinner choices, from how many different daily menus can Shaun choose?

A. 24
B. 36
C. 72
D. 90
E. 108

Originally posted by sahilmshah92 on 08 Sep 2016, 08:53.
Last edited by Bunuel on 08 Sep 2016, 09:04, edited 1 time in total.
RENAMED THE TOPIC.
2 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 23 Apr 2015
Posts: 322
Location: United States
Concentration: General Management, International Business
WE: Engineering (Consulting)
Re: Shaun is starting a new diet plan that offers him the choice of fruit [#permalink]

Show Tags

New post 08 Sep 2016, 09:25
2
sahilmshah92 wrote:
Shaun is starting a new diet plan that offers him the choice of fruit or yogurt for breakfast, 6 different entrees for lunch, and 9 different entrees for dinner. If Shaun chooses an Italian entree for lunch, he always chooses an Italian entree for dinner. If Shaun chooses a Chinese entree for lunch, he never chooses a Chinese entree for dinner. If there are 2 Italian entrees and 2 Chinese entrees among the lunch choices, and 3 Italian entrees and 3 Chinese entrees among the dinner choices, from how many different daily menus can Shaun choose?

A. 24
B. 36
C. 72
D. 90
E. 108


Let the Breakfast set be {F , Y}
Lunch be {I ,I , C,C , L1,L2}
Dinner be {I,I,I , C,C,C, D1,D2,D3}

There are only 2 restrictions, Italian Lunch has to go with Italian Dinner and Chinese Lunch cannot go with Chinese dinner.
So the set of Breakfast, Lunch and Dinner will
{Any BF, Italian Lunch, Italian Dinner } = 2 * 2 * 2
{Any BF, Chinese Lunch, Not Chinese Dinner} = 2 * 2 * 6
{Any BF, Not Italian or Chinese Lunch, Any Dinner} = 2 * 2 * 9

Adding all these gives 72.
Answer is C
Intern
Intern
avatar
B
Joined: 14 Jan 2016
Posts: 31
Location: India
Concentration: General Management, Entrepreneurship
Re: Shaun is starting a new diet plan that offers him the choice of fruit [#permalink]

Show Tags

New post 09 Sep 2016, 04:27
1
Senthil1981 wrote:
sahilmshah92 wrote:
Shaun is starting a new diet plan that offers him the choice of fruit or yogurt for breakfast, 6 different entrees for lunch, and 9 different entrees for dinner. If Shaun chooses an Italian entree for lunch, he always chooses an Italian entree for dinner. If Shaun chooses a Chinese entree for lunch, he never chooses a Chinese entree for dinner. If there are 2 Italian entrees and 2 Chinese entrees among the lunch choices, and 3 Italian entrees and 3 Chinese entrees among the dinner choices, from how many different daily menus can Shaun choose?

A. 24
B. 36
C. 72
D. 90
E. 108


Let the Breakfast set be {F , Y}
Lunch be {I ,I , C,C , L1,L2}
Dinner be {I,I,I , C,C,C, D1,D2,D3}

There are only 2 restrictions, Italian Lunch has to go with Italian Dinner and Chinese Lunch cannot go with Chinese dinner.
So the set of Breakfast, Lunch and Dinner will
{Any BF, Italian Lunch, Italian Dinner } = 2 * 2 * 2
{Any BF, Chinese Lunch, Not Chinese Dinner} = 2 * 2 * 6
{Any BF, Not Italian or Chinese Lunch, Any Dinner} = 2 * 2 * 9

Adding all these gives 72.
Answer is C


You meant this?

{Any BF, Italian Lunch, Italian Dinner } = 2 * 2 * 3
{Any BF, Chinese Lunch, Not Chinese Dinner} = 2 * 2 * 6
{Any BF, Not Italian or Chinese Lunch, Any Dinner} = 2 * 2 * 9

Anyway, it makes sense to me now. Thank you :)
Manager
Manager
avatar
G
Joined: 27 Jan 2016
Posts: 145
Schools: ISB '18
GMAT 1: 700 Q50 V34
Shaun is starting a new diet plan that offers him the choice of fruit [#permalink]

Show Tags

New post 01 Aug 2017, 13:14
Shaun is starting a new diet plan that offers him the choice of fruit or yogurt for breakfast, 6 different entrees for lunch, and 9 different entrees for dinner. If Shaun chooses an Italian entree for lunch, he always chooses an Italian entree for dinner. If Shaun chooses a Chinese entree for lunch, he never chooses a Chinese entree for dinner. If there are 2 Italian entrees and 2 Chinese entrees among the lunch choices, and 3 Italian entrees and 3 Chinese entrees among the dinner choices, from how many different daily menus can Shaun choose?

24

36

72

90

108
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47080
Re: Shaun is starting a new diet plan that offers him the choice of fruit [#permalink]

Show Tags

New post 01 Aug 2017, 13:22
srikanth9502 wrote:
Shaun is starting a new diet plan that offers him the choice of fruit or yogurt for breakfast, 6 different entrees for lunch, and 9 different entrees for dinner. If Shaun chooses an Italian entree for lunch, he always chooses an Italian entree for dinner. If Shaun chooses a Chinese entree for lunch, he never chooses a Chinese entree for dinner. If there are 2 Italian entrees and 2 Chinese entrees among the lunch choices, and 3 Italian entrees and 3 Chinese entrees among the dinner choices, from how many different daily menus can Shaun choose?

24

36

72

90

108


Merging topics. Please refer to the discussion above.
_________________

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

Director
Director
User avatar
P
Joined: 18 Aug 2016
Posts: 631
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Premium Member Reviews Badge
Re: Shaun is starting a new diet plan that offers him the choice of fruit [#permalink]

Show Tags

New post 01 Aug 2017, 21:07
sahilmshah92 wrote:
Shaun is starting a new diet plan that offers him the choice of fruit or yogurt for breakfast, 6 different entrees for lunch, and 9 different entrees for dinner. If Shaun chooses an Italian entree for lunch, he always chooses an Italian entree for dinner. If Shaun chooses a Chinese entree for lunch, he never chooses a Chinese entree for dinner. If there are 2 Italian entrees and 2 Chinese entrees among the lunch choices, and 3 Italian entrees and 3 Chinese entrees among the dinner choices, from how many different daily menus can Shaun choose?

A. 24
B. 36
C. 72
D. 90
E. 108


Breakfast - 2 (F or Y)
Lunch - 6 (2I, 2C, 2O)
Dinner - 9 (3I, 3C, 3O)

If L = I then D = I
If L= C then D is not equal to C

Italian Lunch
2 * 2 * 3 =12
Chinese Lunch
2* 2 * 6 = 24
Other Lunch
2 * 2 * 9 = 36

Total = 72 options
C
_________________

We must try to achieve the best within us


Thanks
Luckisnoexcuse

Re: Shaun is starting a new diet plan that offers him the choice of fruit   [#permalink] 01 Aug 2017, 21:07
Display posts from previous: Sort by

Shaun is starting a new diet plan that offers him the choice of fruit

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

Events & Promotions

PREV
NEXT


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®.