Author 
Message 
Senior Manager
Joined: 05 Oct 2008
Posts: 263

A child had 5 friends at her birthday party. The children [#permalink]
Show Tags
23 Oct 2008, 20:21
Question Stats:
0% (00:00) correct 0% (00:00) wrong based on 1 sessions
HideShow timer Statistics
A child had 5 friends at her birthday party. The children opened a box containing 21 pieces of candy. Each piece of candy was received by a child. There were no other pieces of candy received by the children at the party. Did each child at the party receive at least 1 piece of candy from the box? (1) Each child received a different number of candies. (2) The birthday girl received 6 pieces of candy, which was more than any other child. == Message from GMAT Club Team == This is not a quality discussion. It has been retired. If you would like to discuss this question please repost it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative  Verbal Please note  we may remove posts that do not follow our posting guidelines. Thank you.



VP
Joined: 30 Jun 2008
Posts: 1018

study wrote: A child had 5 friends at her birthday party. The children opened a box containing 21 pieces of candy. Each piece of candy was received by a child. There were no other pieces of candy received by the children at the party. Did each child at the party receive at least 1 piece of candy from the box?
(1) Each child received a different number of candies.
(2) The birthday girl received 6 pieces of candy, which was more than any other child. The answer is C ? there are totally 6 children (including the bday girl). total no of candies = 21 (1) each child recd diff no of candies  not sufficient info to determine whether each child received at least a candy (2) the b day girl recd 6 candies which is more than any other child got. Still not suff info. (1) and (2) b day gal recd 6 candies and everyone recd diff no of candies. so no one else can get 6 or more than 6. even if we try and give maximum number of candies to each child, we end up giving at least one candy to each child. Say there are 6 kids a,b,c,d,e and f. say a is the b day gal a  got 6 b  cant have 6 or more. lets give b the next maximum possible number of candies, that is 5 c  cant have 5 or more, max no. of candies possible is 4 d  3 e  2 f  1 totally 6+5+4+3+2+1 = 21
_________________
"You have to find it. No one else can find it for you."  Bjorn Borg



Manager
Joined: 09 Jul 2008
Posts: 109
Location: Dallas, TX
Schools: McCombs 2011

study wrote: A child had 5 friends at her birthday party. The children opened a box containing 21 pieces of candy. Each piece of candy was received by a child. There were no other pieces of candy received by the children at the party. Did each child at the party receive at least 1 piece of candy from the box?
(1) Each child received a different number of candies.
(2) The birthday girl received 6 pieces of candy, which was more than any other child. C. 1+2 tells that each of the girl's friends received some number of candy and that number needs to be less than 6 and that they received different number of candy. So, 5 children, different numbers and choices we have are 1, 2, 3, 4, 5.



SVP
Joined: 17 Jun 2008
Posts: 1502

I think A is sufficient. Each child received a different number of candies. That means, no child received 0 candies and in order for the sum to be 21, these will be 1,2,3,4,5,6. Hence, sufficient.



VP
Joined: 30 Jun 2008
Posts: 1018

scthakur wrote: I think A is sufficient. Each child received a different number of candies. That means, no child received 0 candies and in order for the sum to be 21, these will be 1,2,3,4,5,6. Hence, sufficient. scthakur ... it can be 7,5,4,3,2,0 or some other combination ?? or am i missing something as usual ?
_________________
"You have to find it. No one else can find it for you."  Bjorn Borg



Senior Manager
Joined: 05 Oct 2008
Posts: 263

Thanks all  I overlooked the basc assumption  different no of candies!!
OA is C



Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown

C
1  In Suff 2  In Suff
Together 6,5,4,3,2,1 = 21



SVP
Joined: 17 Jun 2008
Posts: 1502

study wrote: Thanks all  I overlooked the basc assumption  different no of candies!!
OA is C What is the source? I still go for A. If 21 candies are divided among six children and each of them receives different number, how can one receive zero candies?



SVP
Joined: 17 Jun 2008
Posts: 1502

amitdgr wrote: scthakur wrote: I think A is sufficient. Each child received a different number of candies. That means, no child received 0 candies and in order for the sum to be 21, these will be 1,2,3,4,5,6. Hence, sufficient. scthakur ... it can be 7,5,4,3,2,0 or some other combination ?? or am i missing something as usual ? How can 0 be the number of candies? May be I am missing something. I saw the OA and somehow I do not seem to agree with OA.



VP
Joined: 30 Jun 2008
Posts: 1018

scthakur wrote: amitdgr wrote: scthakur wrote: I think A is sufficient. Each child received a different number of candies. That means, no child received 0 candies and in order for the sum to be 21, these will be 1,2,3,4,5,6. Hence, sufficient. scthakur ... it can be 7,5,4,3,2,0 or some other combination ?? or am i missing something as usual ? How can 0 be the number of candies? May be I am missing something. I saw the OA and somehow I do not seem to agree with OA. Maybe one of the kids got no candy .... the question does not mandate that EVERY kid has to get a candy, in fact the question is whether every kid got at least a candy or not
_________________
"You have to find it. No one else can find it for you."  Bjorn Borg



Intern
Joined: 02 Sep 2008
Posts: 45

I am also getting A.
Because of 2 conditions. 1) every one gets atleast 1 piece of candy 2) Every one gets different number of candies.
So Answer is A.



VP
Joined: 30 Jun 2008
Posts: 1018

Twoone wrote: I am also getting A.
Because of 2 conditions. 1) every one gets atleast 1 piece of candy 2) Every one gets different number of candies.
So Answer is A. How did you get the first condition ? The question is asking if everyone gets at least one candy, it does not state that everyone gets one candy ....
_________________
"You have to find it. No one else can find it for you."  Bjorn Borg



VP
Joined: 05 Jul 2008
Posts: 1367

amitdgr wrote: Twoone wrote: I am also getting A.
Because of 2 conditions. 1) every one gets atleast 1 piece of candy 2) Every one gets different number of candies.
So Answer is A. How did you get the first condition ? The question is asking if everyone gets at least one candy, it does not state that everyone gets one candy .... A " Each child received a different number of candies " and the Q is asking Did each child get at least one candy. So what is a good assumption here? A child received 0 candies makes sense mathematically but does not make sense logically. I believe the Q wants us to consider the option of 0 candies. If A is ignoring that case, we have an easy answer. Where is this Q from? I could not decide either way and was stuck on the interpretation and then figured out that I have enough company. == Message from GMAT Club Team == This is not a quality discussion. It has been retired. If you would like to discuss this question please repost it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative  Verbal Please note  we may remove posts that do not follow our posting guidelines. Thank you.










