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Which of the following is equivalent to the statement that 0.5 is betw

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Which of the following is equivalent to the statement that 0.5 is betw  [#permalink]

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New post 04 Apr 2017, 22:17
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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
Spoiler: OA

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Re: Which of the following is equivalent to the statement that 0.5 is betw  [#permalink]

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New post 04 Apr 2017, 22:24
0.5 is between 2/n and 3/n --> (2/n) < 0.5 < (3/n)

Multiply by 2n, we get 4 < n < 6

Answer: D
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Re: Which of the following is equivalent to the statement that 0.5 is betw  [#permalink]

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New post 05 Apr 2017, 01:58
Answer : [D]

for 4 < n < 6

2 < 0.5 * n< 3 [multiplying all by 0.5 or 1/2 ]

If n is positive, 2/n < 0.5 < 3/n
If n is negative, 2/n > 0.5 > 3/n

either way 0.5 is between 2/n and 3/n
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Re: Which of the following is equivalent to the statement that 0.5 is betw &nbs [#permalink] 05 Apr 2017, 01:58
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