It is currently 17 Dec 2017, 17:32

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

Events & Promotions in June
Open Detailed Calendar

Joan has 100 candies to distribute among 10 children. If each child re

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

Hide Tags

Senior Manager
Senior Manager
avatar
Status: Do and Die!!
Joined: 15 Sep 2010
Posts: 311

Kudos [?]: 608 [0], given: 193

Joan has 100 candies to distribute among 10 children. If each child re [#permalink]

Show Tags

New post 18 Oct 2010, 08:51
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (00:52) correct 13% (00:52) wrong based on 56 sessions

HideShow timer Statistics

Joan has 100 candies to distribute among 10 children. If each child receives at least 1 candy and no two children receive the same number of candies, what is the maximum number of candies that a child can receive?

10
34
39
45
55
[Reveal] Spoiler: OA

_________________

I'm the Dumbest of All !!

Kudos [?]: 608 [0], given: 193

1 KUDOS received
Manager
Manager
User avatar
Joined: 08 Sep 2010
Posts: 223

Kudos [?]: 332 [1], given: 21

Location: India
WE 1: 6 Year, Telecom(GSM)
Re: Joan has 100 candies to distribute among 10 children. If each child re [#permalink]

Show Tags

New post 18 Oct 2010, 09:25
1
This post received
KUDOS
shrive555 wrote:
Joan has 100 candies to distribute among 10 children. If each child receives at least 1 candy and no two children receive the same number of candies, what is the maximum number of candies that a child can receive?

10
34
39
45
55



No its not a combination question.It is somewhat tricky.Here we have to distribute 100 candies in 10 children and no two children will receive the same number of candy .so for making the number of candies maximum for one child we have to make it minimum for the remaining children i.e 1,2,3,4,5,6,7,8,9 so total will be 45 for 9 children.
For the tenth child who is getting maximum, the number of candies will be ( 100-45)=55.Hence answer is E


Consider kudos if it helped u in some way.

Kudos [?]: 332 [1], given: 21

2 KUDOS received
Retired Moderator
User avatar
Joined: 02 Sep 2010
Posts: 792

Kudos [?]: 1232 [2], given: 25

Location: London
GMAT ToolKit User Reviews Badge
Re: Joan has 100 candies to distribute among 10 children. If each child re [#permalink]

Show Tags

New post 18 Oct 2010, 13:21
2
This post received
KUDOS
1
This post was
BOOKMARKED
shrive555 wrote:
Joan has 100 candies to distribute among 10 children. If each child receives at least 1 candy and no two children receive the same number of candies, what is the maximum number of candies that a child can receive?

10
34
39
45
55


To maximize the number of candies a child gets, we will need to minimize the number that the other 9 get.

Child 1 : We give him 1 because thats the minimum we can give
Child 2 : We can't give 1 (since number has to be unique). So we give 2
Child 3 : We can't give 1 or 2, so we give 3
....
Child 9 : We can't give 1,2,3,..,8. So we give 9

So total distributed so far = 1+2+3+...+9 = 9(10)/2 =45

The rest we give to child 10, which is the maximum possible, and is 100-45 or 55.

Answer is (e)
_________________

Math write-ups
1) Algebra-101 2) Sequences 3) Set combinatorics 4) 3-D geometry

My GMAT story

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 1232 [2], given: 25

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14796

Kudos [?]: 288 [0], given: 0

Premium Member
Re: Joan has 100 candies to distribute among 10 children. If each child re [#permalink]

Show Tags

New post 01 Oct 2017, 02:45
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 288 [0], given: 0

1 KUDOS received
Manager
Manager
avatar
S
Joined: 05 Jul 2017
Posts: 190

Kudos [?]: 48 [1], given: 184

Location: India
Concentration: Entrepreneurship, Technology
GMAT 1: 700 Q49 V36
GPA: 4
Re: Joan has 100 candies to distribute among 10 children. If each child re [#permalink]

Show Tags

New post 03 Oct 2017, 11:05
1
This post received
KUDOS
Hello Moderators,

This is a Max/Min problem. Can you change the tag from "combinations" to "max/min" ?
_________________

My journey From 410 to 700 :-)
Here's my experience when I faced a glitch in my GMAT Exam
Don't do this mistake when you give your GMATPrep Mock!

Kudos [?]: 48 [1], given: 184

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42652

Kudos [?]: 135984 [0], given: 12719

Re: Joan has 100 candies to distribute among 10 children. If each child re [#permalink]

Show Tags

New post 03 Oct 2017, 11:07

Kudos [?]: 135984 [0], given: 12719

Manager
Manager
User avatar
B
Status: love the club...
Joined: 24 Mar 2015
Posts: 213

Kudos [?]: 22 [0], given: 472

Re: Joan has 100 candies to distribute among 10 children. If each child re [#permalink]

Show Tags

New post 15 Oct 2017, 23:35
shrive555 wrote:
Joan has 100 candies to distribute among 10 children. If each child receives at least 1 candy and no two children receive the same number of candies, what is the maximum number of candies that a child can receive?

10
34
39
45
55


hi

think easy
2 things to identify:

only integer values are in play
no child get 0 candy

now, as each child will get at least 1 candy, and as no two children will get the same number of candy
1+2+3+4+5+6+7+8+9 = 45

so the maximum number of candy a child can receive is (100 - 45) = 55

cheers
thanks
8-)

Kudos [?]: 22 [0], given: 472

Re: Joan has 100 candies to distribute among 10 children. If each child re   [#permalink] 15 Oct 2017, 23:35
Display posts from previous: Sort by

Joan has 100 candies to distribute among 10 children. If each child re

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.