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Two teachers, Ms. Ames and Mr. Betancourt, each had N

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Two teachers, Ms. Ames and Mr. Betancourt, each had N

by AAPL » Tue May 28, 2019 3:42 am

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Magoosh

Two teachers, Ms. Ames, and Mr. Betancourt, each had \(N\) Cookies. Ms. Ames was able to give the same number of cookies to each one of her 24 students, with none left over. Mr. Betancourt also able to give the same number of cookies to each one of his 18 students, with none left over. What is the value of \(N\)?

1) \(N < 100\)
2) \(N > 50\)

OA A
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Source: — Data Sufficiency |
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by swerve » Tue May 28, 2019 9:21 am

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Since \(N\) is divisible by both 24 and 18, it will be the \(LCM\) of the two numbers

\(N = LCM(18,24) = 72\)

1) \(N < 100\)

Then only 1 possibility for \(N=72\). Sufficient.

2) \(N> 50\)

\(N\) can be \(72,144, \cdots\) Not Sufficient.

Hence, the correct answer is __A__
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