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# Number property need help

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Senior Manager
Joined: 23 Mar 2011
Posts: 461

Kudos [?]: 282 [0], given: 59

Location: India
GPA: 2.5
WE: Operations (Hospitality and Tourism)

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21 Oct 2011, 09:58
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A school administrator will assign each student in a group of n students to one of m classrooms.[highlight]If 3<m<13<n[/highlight], is it possible to assign each of n students to one of the m classrooms so that each classroom has the same number of students assigned to it?

1. It is possible to assign each of 3n students to one of m classrooms so that each classroom has the same number of students assigned to it.

2. It is possible to assign each of 13n students to one of m classrooms so that each classroom has the same number of students assigned to it.
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Senior Manager
Joined: 11 May 2011
Posts: 353

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Location: US
Re: Number property need help [#permalink]

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21 Oct 2011, 10:33
Very nice question and answer is indeed "B". I picked "D" initially.

Explanation, The whole question boils down to --> n/m = integer or not. We know, 3<m<13.
1. Given, 3n/m= integer, it CAN NOT be refered that n/m is interger because 3<m<13.
Check this - if n=14 and m=6. This condition is invalid. Hence insuff.

2. Given, 13n/m= integer, it CAN be refered that n/m is interger because m<13 & m is PRIME number.
Hence suff.

Cheers.
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Kudos [?]: 121 [0], given: 46

Senior Manager
Joined: 23 Mar 2011
Posts: 461

Kudos [?]: 282 [0], given: 59

Location: India
GPA: 2.5
WE: Operations (Hospitality and Tourism)
Re: Number property need help [#permalink]

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21 Oct 2011, 12:26
Ajay, request you to please elaborate. I cant get this correct mathematically....
_________________

"When the going gets tough, the tough gets going!"

Bring ON SOME KUDOS MATES+++

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My GMAT journey begins: http://gmatclub.com/forum/my-gmat-journey-begins-122251.html

Kudos [?]: 282 [0], given: 59

Re: Number property need help   [#permalink] 21 Oct 2011, 12:26
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