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When a class is divided into 6 teams with an equal number of

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loveparis
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When a class is divided into 6 teams with an equal number of [#permalink] New post   09 Feb 2011, 16:40
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75. When a class is divided into 6 teams with an equal number of players on each team, n students will be left, where n < 6?
(1) If 5 students were absent, the class can be equally divided into 6 teams.
(2) If 7 more students were added in, all of the students can be equally divided into 6 teams.

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Re: When a class is divided into 6 teams with an equal number of [#permalink] New post   10 Feb 2011, 06:01
Agreed that it is poorly worded, and I think it's a remainder question.

To me it seems, the question should be is n < 6 ?

On taking 1 and 2 as :

x - 5 = 6k

x+ 7 = 6m

I get D as in either case remainder of players < 6.
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Re: When a class is divided into 6 teams with an equal number of [#permalink] New post   10 Feb 2011, 06:31
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loveparis wrote:
75. When a class is divided into 6 teams with an equal number of players on each team, n students will be left, where n < 6?
(1) If 5 students were absent, the class can be equally divided into 6 teams.
(2) If 7 more students were added in, all of the students can be equally divided into 6 teams.


This is poorly worded question. Guess we should find the value of \(n\). Given \(students=6q+n\), where \(n<6\). Basically \(n\) is the remainder when the # of students is divided by 6.

(1) If 5 students were absent, the class can be equally divided into 6 teams --> directly gives the value of remainder as 5. Sufficient.

(2) If 7 more students were added in, all of the students can be equally divided into 6 teams --> \(n+7\) is a multiple of 6, as \(n<6\) then \(n\) must be 5. Sufficient.

Answer: D.
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Re: When a class is divided into 6 teams with an equal number of [#permalink] New post   17 Aug 2011, 06:45
Do we really need options a or b to answer the questions..

N is the reminder when a number is divided by 6.. It has to be <6 in any case....
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Re: When a class is divided into 6 teams with an equal number of [#permalink] New post   17 Aug 2011, 10:00
That's true, we may not need either of the statements if we need to prove "whether n<6?", however we need at least one of these statements if need to "find value of n".

Ironically, this question doesn't tell you what needs to be done, however, in both the scenarios answer is D :-)

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Re: When a class is divided into 6 teams with an equal number of [#permalink]
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