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# The ratio of cupcakes to children at a party is 27 to 7

Author Message
Intern
Joined: 15 Jun 2018
Posts: 15
Location: India
Concentration: Finance, Strategy
GPA: 3.45
WE: Asset Management (Commercial Banking)
The ratio of cupcakes to children at a party is 27 to 7  [#permalink]

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07 Jul 2018, 02:51
2
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (01:08) wrong based on 6 sessions

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The ratio of cupcakes to children at a party is 27 to 7. Each child at the party eats exactly x
cupcakes, where x is a positive integer, after which a total of y cupcakes remain uneaten. If y is
less than the number of children at the birthday party, which of the following must be true?
I. y is a multiple of 2.
II. y is a multiple of 3.
III. y is a multiple of 7

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II and III
Intern
Joined: 27 Feb 2018
Posts: 36
Location: India
WE: Engineering (Real Estate)
Re: The ratio of cupcakes to children at a party is 27 to 7  [#permalink]

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07 Jul 2018, 05:26
CaptainGMAT wrote:
The ratio of cupcakes to children at a party is 27 to 7. Each child at the party eats exactly x
cupcakes, where x is a positive integer, after which a total of y cupcakes remain uneaten. If y is
less than the number of children at the birthday party, which of the following must be true?
I. y is a multiple of 2.
II. y is a multiple of 3.
III. y is a multiple of 7

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II and III

OA seems to be wrong, the number of cupcakes will always be a multiple of 3 and 2.

For Example: Consider 27 cupcakes and 7 Children:
Given Cupcakes remaining is less than number of Children. Therefore only combination is 3 Cupcakes per Child leaves 6 Cupcakes which is multiple of 3 and 2 only.
Same goes for 54 cupcakes and 14 Children.
Math Expert
Joined: 02 Sep 2009
Posts: 51121
Re: The ratio of cupcakes to children at a party is 27 to 7  [#permalink]

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07 Jul 2018, 06:40
CaptainGMAT wrote:
The ratio of cupcakes to children at a party is 27 to 7. Each child at the party eats exactly x
cupcakes, where x is a positive integer, after which a total of y cupcakes remain uneaten. If y is
less than the number of children at the birthday party, which of the following must be true?
I. y is a multiple of 2.
II. y is a multiple of 3.
III. y is a multiple of 7

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II and III

Check here: https://gmatclub.com/forum/the-ratio-of ... fl=similar
_________________
Re: The ratio of cupcakes to children at a party is 27 to 7 &nbs [#permalink] 07 Jul 2018, 06:40
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