cupcakes

Expert replies

maihuna: Legendary Member; Posts: 1578; Joined: Sun Dec 28, 2008 1:49 amFollowed by: 9 members; Thanked: 82 times; GMAT Score:720

by maihuna » Mon Apr 11, 2011 11:51 am

The ratio of cupcakes to children at a particular birthday party is 104 to 7. Each child at the birthday party
eats exactly x cupcakes (where x is a positive integer) and the adults attending the birthday party do not eat
anything. If the number of cupcakes that remain uneaten is less than the number of children at the birthday
party, what must be true about the number of uneaten cupcakes?
I. It is a multiple of 2. II. It is a multiple of 3. III. It is a multiple of 7.
(A) I only (B) II only (C) III only (D) I and II only (E) I, II and III

Charged up again to beat the beast

Like this post

Source: Beat The GMAT — Problem Solving | Mon Apr 11, 2011 11:51 am

srcc25anu: Master | Next Rank: 500 Posts; Posts: 423; Joined: Fri Jun 11, 2010 7:59 amFollowed by: 2 members; Location: Seattle, WA; Thanked: 86 times

by srcc25anu » Mon Apr 11, 2011 12:04 pm

ck : ch = 104:7
no of cupcakes eaten will be 7k. numbers of cupcakes not eaten will be less than 7
in the above case, lets assume cupcakes = 104 and children = 7
7 children will eat 7 *14 each cupcakes = total 98 cupcakes. uneaten cupcakes = 6 (multiple of 2 and 3)
hence Ans D

Like this post

manpsingh87: Master | Next Rank: 500 Posts; Posts: 436; Joined: Tue Feb 08, 2011 3:07 amFollowed by: 6 members; Thanked: 72 times

by manpsingh87 » Mon Apr 11, 2011 10:45 pm

maihuna wrote:The ratio of cupcakes to children at a particular birthday party is 104 to 7. Each child at the birthday party
eats exactly x cupcakes (where x is a positive integer) and the adults attending the birthday party do not eat
anything. If the number of cupcakes that remain uneaten is less than the number of children at the birthday
party, what must be true about the number of uneaten cupcakes?
I. It is a multiple of 2. II. It is a multiple of 3. III. It is a multiple of 7.
(A) I only (B) II only (C) III only (D) I and II only (E) I, II and III

let cupcakes = p, no. of children=q,
therefore we have p/q=104/7;
also no. of cupcakes eaten by each child = x;

now consider the condition,

If the number of cupcakes that remain uneaten is less than the number of children at the birthdayparty,

therefore we have (p-xq)<q;
p<q(k+1);
P/q<k+1; we know that p/q=104/7;
therefore 104/7-1<k; 97/7<k; 13.85<k; therefore minimum possible value of k=14;
now consider no. of cupcakes be 104 and children=7;
therefore 7 children will eat 14*7=98 cupcakes , uneaten=6 multiple of 2 and 3 hence D

O Excellence... my search for you is on... you can be far.. but not beyond my reach!

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

563 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (563 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review