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

It is currently 14 Nov 2018, 23:15

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
  • $450 Tuition Credit & Official CAT Packs FREE

     November 15, 2018

     November 15, 2018

     10:00 PM MST

     11:00 PM MST

    EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
  • Free GMAT Strategy Webinar

     November 17, 2018

     November 17, 2018

     07:00 AM PST

     09:00 AM PST

    Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

A bouquet contains 16 flowers, each of them either a rose, tulip, dais

  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: 50585
A bouquet contains 16 flowers, each of them either a rose, tulip, dais  [#permalink]

Show Tags

New post 13 Apr 2018, 02:27
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

63% (01:51) correct 37% (01:49) wrong based on 123 sessions

HideShow timer Statistics

A bouquet contains 16 flowers, each of them either a rose, tulip, daisy, or daffodil. If no two types of flower appear the same number of times in the bouquet, and there are more tulips than any other type of flower, what is the minimum number of tulips?

A. 4
B. 5
C. 6
D. 7
E. 8

_________________

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

Manager
Manager
avatar
G
Joined: 30 May 2017
Posts: 122
Location: United States
Schools: HBS '21
GMAT 1: 690 Q50 V32
GRE 1: Q168 V164
GPA: 3.57
CAT Tests
A bouquet contains 16 flowers, each of them either a rose, tulip, dais  [#permalink]

Show Tags

New post Updated on: 13 Apr 2018, 05:27
1
Bunuel wrote:
A bouquet contains 16 flowers, each of them either a rose, tulip, daisy, or daffodil. If no two types of flower appear the same number of times in the bouquet, and there are more tulips than any other type of flower, what is the minimum number of tulips?

A. 4
B. 5
C. 6
D. 7
E. 8



Test option A. 4 cannot be the answer for tulips. as there will be at least 1 greater than or equal to tulips.
Test option B. 5 cannot be the answer for tulips. 16-5 = 11. There will be at least 1 other type equal or greater than tulip.
Test option C. 6 can be the answer. since 16-6 = 10. For example tulips = 6, rose = 5, daisy = 3 and daffodil = 2. 6+5+3+2 =16

Hence option C = 6 is the answer.


Give me +1 Kudos if you like the explanation. Thanks.
_________________

Kindly press the +1Kudos if you like the explanation. Thanks a lot!!!


Originally posted by houston1980 on 13 Apr 2018, 03:44.
Last edited by houston1980 on 13 Apr 2018, 05:27, edited 1 time in total.
Intern
Intern
User avatar
B
Joined: 04 Apr 2018
Posts: 21
GMAT ToolKit User
Re: A bouquet contains 16 flowers, each of them either a rose, tulip, dais  [#permalink]

Show Tags

New post 13 Apr 2018, 03:52
The only possibility that I can see here is tulip should be 6 and either of the three (rose,daisy,daffodil) should be among (5,4,1). This adds upto 6+5+4+1 = 16. Answer should be option C. 6
Senior Manager
Senior Manager
avatar
G
Joined: 15 Oct 2017
Posts: 308
Reviews Badge CAT Tests
Re: A bouquet contains 16 flowers, each of them either a rose, tulip, dais  [#permalink]

Show Tags

New post 14 Apr 2018, 10:09
IMO E.

If other number of flowers = 1, 2, 5.
Then, maximum number of tulips in this case = 8.
Manager
Manager
avatar
G
Joined: 30 Mar 2017
Posts: 135
GMAT 1: 200 Q1 V1
Reviews Badge
Re: A bouquet contains 16 flowers, each of them either a rose, tulip, dais  [#permalink]

Show Tags

New post 15 Apr 2018, 16:04
We need to find the min number of tulips. I interpret this as the least number of tulips with which we can make a 16-flower bouquet. If we have 5 tulips, we can have a maximum of 14 flowers in the bouquet (e.g. 2 roses, 3 daisies, 4 daffodils), so a 16-flower bouquet is not possible. If we have 6 tulips, a 16-flower bouquet is possible (e.g. 1 rose, 4 daisies, 5 daffodils).

Answer: C
Director
Director
avatar
P
Joined: 02 Oct 2017
Posts: 692
Re: A bouquet contains 16 flowers, each of them either a rose, tulip, dais  [#permalink]

Show Tags

New post 28 Apr 2018, 18:08
Tulips minimum number needs to be calculated

So 3,4,5,6 as sum would have to make 16 also

Posted from my mobile device
_________________

Give kudos if you like the post

Manager
Manager
User avatar
S
Joined: 22 Jun 2017
Posts: 72
Location: Brazil
GMAT 1: 600 Q48 V25
GPA: 3.5
WE: Engineering (Energy and Utilities)
GMAT ToolKit User Premium Member Reviews Badge
Re: A bouquet contains 16 flowers, each of them either a rose, tulip, dais  [#permalink]

Show Tags

New post 28 Apr 2018, 18:31
Option C

- 16 flowers;
- no two types of flower appear the same number of times in the bouquet;
- more tulips than any other type of flower;

- minimum number of tulips?

x + (x-1) + (x-2) + (x-3) = 16

4x = 22

x = 5,5

5 cannot be the answer (there will be at least 1 other type equal or greater than tulip), so 6 is the answer.
Intern
Intern
User avatar
B
Joined: 11 Sep 2017
Posts: 47
GMAT 1: 600 Q42 V31
Reviews Badge
Re: A bouquet contains 16 flowers, each of them either a rose, tulip, dais  [#permalink]

Show Tags

New post 29 Apr 2018, 01:31
urvashis09 wrote:
IMO E.

If other number of flowers = 1, 2, 5.
Then, maximum number of tulips in this case = 8.


We have been asked to find to MINUMUM number for Tulips possible.
Your explanation stands true for MAXIMUM number of Tulips possible
Intern
Intern
avatar
B
Joined: 11 Jul 2018
Posts: 13
Re: A bouquet contains 16 flowers, each of them either a rose, tulip, dais  [#permalink]

Show Tags

New post 21 Jul 2018, 01:46
Bunuel wrote:
A bouquet contains 16 flowers, each of them either a rose, tulip, daisy, or daffodil. If no two types of flower appear the same number of times in the bouquet, and there are more tulips than any other type of flower, what is the minimum number of tulips?

A. 4
B. 5
C. 6
D. 7
E. 8



A way to go about it is as follows,
As the number of tulips has to be minimum possible, with the given condition, we can agree that all the flower must be as close to each other as possible (can not be equal) and would have the average value of 4.
(how? 16/4=4)
Now let's divide the 4 numbers into two sets, if a>b>c>d, then a and d are one set and b and c are another
Hence the two numbers (in a set) will have to be at equal distances from 4 in opposite directions to have the same sum as 4+4, ie 4+1, coupled with 4-1 and 4+2 coupled with 4-2.
(Why not 4+0? because 4+0 = 4-0, hence the numbers become equal, which is not allowed)
Therefore clearly the closest (from each other) set of numbers fulfilling this questions conditions are 6,5,3,2
Therefore no. of tulips = 6.
Side note: This method only works because min value is asked, in the case of max, it is better to simply subtract the smallest possible values (1,2,3)
Please do leave a kudos if I could introduce a new method to you :)
GMAT Club Bot
Re: A bouquet contains 16 flowers, each of them either a rose, tulip, dais &nbs [#permalink] 21 Jul 2018, 01:46
Display posts from previous: Sort by

A bouquet contains 16 flowers, each of them either a rose, tulip, dais

  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®.