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

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Intern
Joined: 09 Feb 2011
Posts: 15

Kudos [?]: 58 [1], given: 0

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

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09 Feb 2011, 16:40
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Question Stats:

83% (01:36) correct 18% (02:41) wrong based on 40 sessions

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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.
[Reveal] Spoiler: OA

Kudos [?]: 58 [1], given: 0

SVP
Joined: 16 Nov 2010
Posts: 1594

Kudos [?]: 592 [0], given: 36

Location: United States (IN)
Concentration: Strategy, Technology
Re: When a class is divided into 6 teams with an equal number [#permalink]

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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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Kudos [?]: 592 [0], given: 36

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129150 [0], given: 12194

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

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10 Feb 2011, 06:31
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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Intern
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Re: When a class is divided into 6 teams with an equal number [#permalink]

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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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Manager
Joined: 28 May 2011
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Location: United States
Concentration: General Management, International Business
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Re: When a class is divided into 6 teams with an equal number [#permalink]

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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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Kudos [?]: 71 [0], given: 7

Re: When a class is divided into 6 teams with an equal number   [#permalink] 17 Aug 2011, 10:00
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# When a class is divided into 6 teams with an equal number of

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