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

It is currently 19 Jun 2018, 03:26
Search
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
Unanswered

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar
CLICK HERE TO HIDE/SHOW EVENTS

A box contains 10 tablets of medicine A and 15 tablets

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
  Sort by Date Sort by Kudos  
Search for:
 
Print view
First unread post
Author Message
TAGS:

Hide Tags
1 KUDOS received
Intern
Intern
avatar
Joined: 29 Dec 2012
Posts: 17
Reviews Badge
A box contains 10 tablets of medicine A and 15 tablets [#permalink]

Show Tags

New post Updated on: 17 Sep 2014, 06:12
1
3
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

63% (00:46) correct 37% (00:38) wrong based on 227 sessions

HideShow timer Statistics

A box contains 10 tablets of medicine A and 15 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.

A. 12
B. 15
C. 17
D. 19
E. 21
Spoiler: OA

Originally posted by schittuluri on 11 Aug 2013, 12:05.
Last edited by Bunuel on 17 Sep 2014, 06:12, edited 2 times in total.
Added the OA.
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46162
Premium Member CAT Tests
Top Member of the Month
Re: A box contains 10 tablets of medicine A and 15 tablets [#permalink]

Show Tags

New post 11 Aug 2013, 12:11
2
schittuluri wrote:
A box contains 10 tablets of medicine A and 15 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.

A)12
B)15
C)17
D)19
E)21


The worst case scenario will be if we remove all 15 tablets of medicine B first. The next 2 tablets we remove have to be of medicine A, so to guarantee that at least two tablets of each kind will be taken we should remove minimum of 15+2=17 tablets.

Answer: C.
_________________

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

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 10 Jul 2013
Posts: 318
Re: A box contains 10 tablets of medicine A and 15 tablets [#permalink]

Show Tags

New post 11 Aug 2013, 14:24
1
schittuluri wrote:
A box contains 10 tablets of medicine A and 15 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.

A)12
B)15
C)17
D)19
E)21

if we extract 12 then it can be all B, but if 17 then 2kinds of each must have to be there like 15B+2A.....
_________________

Asif vai.....

Intern
Intern
avatar
Joined: 29 Dec 2012
Posts: 17
Reviews Badge
Re: A box contains 10 tablets of medicine A and 15 tablets [#permalink]

Show Tags

New post 11 Aug 2013, 17:24
I didnt understand ...
if there should be two from each box , the total number shoukdnt be EVEN??

Posted from my mobile device
2 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 10 Jul 2013
Posts: 318
Re: A box contains 10 tablets of medicine A and 15 tablets [#permalink]

Show Tags

New post 12 Aug 2013, 15:55
2
schittuluri wrote:
I didnt understand ...
if there should be two from each box , the total number shoukdnt be EVEN??

Posted from my mobile device


At least two means 2,3,4,5 etc, so not just even.

12 tablets = 12 B but no A
17 tablets = 15 B and 2 A (even if 15 B extracted)

pick 12 tablets out of the box, chances are that all the 12 tablets are B.
so we have 12 B tablets, not at least two of each kind.

but if we pick 17 tablets out of the box, then even after 15 B we can still have 2 tablets of A.

i mean pick 17 then you have to pick at least 2 from A as well as at least 2 from B.
_________________

Asif vai.....

Intern
Intern
avatar
Joined: 02 Mar 2012
Posts: 1
Concentration: Entrepreneurship, General Management
Schools: Insead Sept '16, IMD '16, ISB '15, Babson '15
GMAT Date: 09-27-2013
GMAT ToolKit User
Re: A box contains 10 tablets of medicine A and 15 tablets [#permalink]

Show Tags

New post 13 Sep 2014, 03:35
why cant we take all of 10 A and then next 2 will be B tablets so total will be 12 and it is the least to ensure we have at least 2 of each type?
Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46162
Premium Member CAT Tests
Top Member of the Month
Re: A box contains 10 tablets of medicine A and 15 tablets [#permalink]

Show Tags

New post 13 Sep 2014, 07:27
1
1
rcformba wrote:
why cant we take all of 10 A and then next 2 will be B tablets so total will be 12 and it is the least to ensure we have at least 2 of each type?


Extracting 12 tablets does not guarantee having at least 2 of each type, because all 12 could be medicine B. In such problems you have to consider the worst case scenario.

Similar questions to practice:
12-easy-pieces-or-not-126366.html#p1033935
in-his-pocket-a-boy-has-3-red-marbles-4-blue-marbles-and-85216.html
of-the-science-books-in-a-certain-supply-room-50-are-on-131100.html
in-a-deck-of-52-cards-each-card-is-one-of-4-different-color-83183.html
a-box-contains-10-red-pills-5-blue-pills-12-yellow-56779.html
each-of-the-integers-from-0-to-9-inclusive-is-written-on-130562.html
a-student-is-asked-to-pick-marbles-from-a-bag-that-contains-72390.html
of-the-science-books-in-a-certain-supply-room-50-are-on-131100.html

Hope it helps.
_________________

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

Expert Post
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2738
Location: United States (CA)
Re: A box contains 10 tablets of medicine A and 15 tablets [#permalink]

Show Tags

New post 04 Apr 2017, 16:05
schittuluri wrote:
A box contains 10 tablets of medicine A and 15 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.

A. 12
B. 15
C. 17
D. 19
E. 21


Let’s consider the worst possible scenario: It’s possible to take out 15 tablets and all of them are medicine B. In this case, we only take out one kind of medicine instead of both. Therefore, we need to take out at least 15 + 2 = 17 tablets (all 15 of medicine B and 2 of medicine A) to ensure that at least two tablets of each kind are extracted.

Answer: C
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Re: A box contains 10 tablets of medicine A and 15 tablets   [#permalink] 04 Apr 2017, 16:05
Print view
First unread post
Display posts from previous: Sort by

A box contains 10 tablets of medicine A and 15 tablets

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

Moderators: chetan2u, VeritasPrepKarishma, Bunuel, niks18, mikemcgarry, generis

Search for:


cron

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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions