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# It is known that no more than 7 children will be attending a party.

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Math Expert
Joined: 02 Sep 2009
Posts: 43849
It is known that no more than 7 children will be attending a party. [#permalink]

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24 Jul 2016, 07:49
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89% (00:50) correct 11% (00:47) wrong based on 55 sessions

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It is known that no more than 7 children will be attending a party. What is the smallest number of cookies that must be brought to the party so that each child receives the same number of cookies?

(A) 220
(B) 250
(C) 320
(D) 420
(E) 560
[Reveal] Spoiler: OA

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Re: It is known that no more than 7 children will be attending a party. [#permalink]

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24 Jul 2016, 09:17
The number of children is not specified. We are just given that there are no more than 7 children.

If we assume that number of children is 5 then answer will be A.

If we assume that number of children is 7 then answer will be D because only 420 is divisible by 7.
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It is known that no more than 7 children will be attending a party. [#permalink]

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24 Jul 2016, 09:56
14101992 wrote:
The number of children is not specified. We are just given that there are no more than 7 children.

If we assume that number of children is 5 then answer will be A.

If we assume that number of children is 7 then answer will be D because only 420 is divisible by 7.

The prompt is quite specific, it tells you that the number of students is ≤ 7. -> x ≤ 7,
so only an answer that takes into consideration all numbers from 1 to 7 can be the OA.

Since 420 = 1 x 2 x 2 x 3 x 5 x 7
you see how any number from 1 to 7 is accounted for.
Something which isn't true for 560, whose prime factorization is $$2^4 x 5 x 7$$, or for 220.

So D)

Last edited by DensetsuNo on 24 Jul 2016, 09:59, edited 1 time in total.
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Re: It is known that no more than 7 children will be attending a party. [#permalink]

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24 Jul 2016, 09:58
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Bunuel wrote:
It is known that no more than 7 children will be attending a party. What is the smallest number of cookies that must be brought to the party so that each child receives the same number of cookies?

(A) 220
(B) 250
(C) 320
(D) 420
(E) 560

No more than 7 children attending the party means the number of children could be 1,2,3,4,5,6,7.

We need to find a number that is divisible by each of these. Out of the choices given only 420 is divisible by each of these numbers.

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Re: It is known that no more than 7 children will be attending a party. [#permalink]

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08 Jan 2018, 01:11
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Re: It is known that no more than 7 children will be attending a party.   [#permalink] 08 Jan 2018, 01:11
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