Which of the following is equivalent to the statement that : PS Archive
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# Which of the following is equivalent to the statement that

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Which of the following is equivalent to the statement that [#permalink]

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17 Sep 2007, 18:17
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Which of the following is equivalent to the statement that 0.5 is between 2/n and 3/n?

(A) 1<n<6
(B) 2<n<3
(C) 2<n<5
(D) 4<n<6
(E) n>10

Last edited by ggarr on 17 Sep 2007, 18:55, edited 3 times in total.
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17 Sep 2007, 18:44
ggarr wrote:
Which of the following is equivalent to the statement that 0.5 is between 2/n and 3/n?

(A) 1<n<6
(B) 2<n<3
(C) 2<n<5
(D) 4<n<6>10

In order to solve can we assign n an arbitrary value?

n=5.

.4<.5<.6 A and D work here.

what am i missing?
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17 Sep 2007, 18:47
2/n < 0.5 < 3/n
2 < 0.5n < 3
4 < n < 6
Director
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17 Sep 2007, 18:58
ywilfred wrote:
2/n < 0.5 < 3/n
2 < 0.5n < 3
4 < n < 6

ywilfred,

what made you take this approach instead of blackbelt's? why not set n equal to 5?
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17 Sep 2007, 19:12
ggarr wrote:
Which of the following is equivalent to the statement that 0.5 is between 2/n and 3/n?

(A) 1<n<6
(B) 2<n<3
(C) 2<n<5
(D) 4<n<6>10

0.5 <2> n>4
05 > 3/n => n<6
Ans D.
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18 Sep 2007, 00:12
GMATBLACKBELT wrote:
ggarr wrote:
Which of the following is equivalent to the statement that 0.5 is between 2/n and 3/n?

(A) 1<n<6
(B) 2<n<3
(C) 2<n<5
(D) 4<n<6>10

In order to solve can we assign n an arbitrary value?

n=5.

.4<.5<.6 A and D work here.

what am i missing?

In A, n can be any value b/w 1 and 6. If n=5 then the answer works, else it doesn't. In D, n has to be 5 so answer always works. Hence D.
Re: PS   [#permalink] 18 Sep 2007, 00:12
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