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# On a weekend, 6 college friends went skiing and evenly split the cost

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Math Expert
Joined: 02 Sep 2009
Posts: 62289
On a weekend, 6 college friends went skiing and evenly split the cost  [#permalink]

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13 Apr 2016, 04:30
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Difficulty:

5% (low)

Question Stats:

93% (01:01) correct 7% (00:24) wrong based on 62 sessions

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On a weekend, 6 college friends went skiing and evenly split the cost of their cabin. If the amount paid by each person was an integer, which of the following could not have been the cost of the cabin?

A. \$126
B. \$156
C. \$218
D. \$648
E. \$1,728

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Joined: 02 Aug 2009
Posts: 8298
On a weekend, 6 college friends went skiing and evenly split the cost  [#permalink]

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13 Apr 2016, 19:49
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Bunuel wrote:
On a weekend, 6 college friends went skiing and evenly split the cost of their cabin. If the amount paid by each person was an integer, which of the following could not have been the cost of the cabin?

A. \$126
B. \$156
C. \$218
D. \$648
E. \$1,728

Evenly distributing within 6 friends MEANS the Total should be a multiple of 6..

All choices are EVEN, so lets check for Div by 3..

A. \$126 ... 1+2+6 = 9... YES
B. \$156 ... 1+5+6 = 12... YES
C. \$218 ... 2+1+8 = 11... NO ... ANSWER
D. \$648 ... 6+4+8 = 18... YES
E. \$1,728... 1+7+2+8 = 18... YES

ans C
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Re: On a weekend, 6 college friends went skiing and evenly split the cost  [#permalink]

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10 May 2016, 12:28
Condition states that amount paid by each of the 6 persons for the cost of the cabin is an integer amount
Clearly we have to check for divisibility by 6 in all five answer choices
126 = 6 * 21 Yes so eliminate
156 = 6 * 26 Yes so eliminate
218 = 6 * 36.3333 clearly not divisible so correct answer
648 = 6 * 108 Yes so eliminate
1728 = 6 * 288 Yes so eliminate
Re: On a weekend, 6 college friends went skiing and evenly split the cost   [#permalink] 10 May 2016, 12:28
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