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If m/n < 1 which of the following must be greater than 1 ?

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If m/n < 1 which of the following must be greater than 1 ?  [#permalink]

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New post 16 Apr 2020, 04:10
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A
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Question Stats:

54% (01:30) correct 46% (01:02) wrong based on 35 sessions

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If \(m/n < 1\) which of the following must be greater than 1 ?

(A) \(\frac{m}{n^2}\)

(B) \(\frac{m}{2n}\)

(C) \(\frac{n}{m^2}\)

(D) \(\frac{n}{m}\)

(E) None of the above

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Re: If m/n < 1 which of the following must be greater than 1 ?  [#permalink]

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New post 16 Apr 2020, 05:06
GMATBusters wrote:
If \(m/n < 1\) which of the following must be greater than 1 ?

(A) \(\frac{m}{n^2}\)

(B) \(\frac{m}{2n}\)

(C) \(\frac{m}{n^2}\)

(D) \(\frac{n}{m}\)

(E) None of the above

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Given: \(m/n < 1\)

(A) \(\frac{m}{n^2}\) If m/n = 1/2, m/n^2 = 1/4 i.e. NOT greater than 1 so ELIMINATED

(B) \(\frac{m}{2n}\) If m/n = 1/2, m/2n = 1/4 i.e. NOT greater than 1 so ELIMINATED

(C) \(\frac{m}{n^2}\) If m/n = 1/2, m/n^2 = 1/4 i.e. NOT greater than 1 so ELIMINATED (By mistake it is same option as Option A)

(D) \(\frac{n}{m}\) If m/n = -1, n/m = -1 i.e. NOT greater than 1 so ELIMINATED

(E) None of the above CORRECT OPTION
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If m/n < 1 which of the following must be greater than 1 ?  [#permalink]

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New post 16 Apr 2020, 09:31
GMATBusters wrote:
If \(m/n < 1\) which of the following must be greater than 1 ?

(A) \(\frac{m}{n^2}\)

(B) \(\frac{m}{2n}\)

(C) \(\frac{n}{m^2}\)

(D) \(\frac{n}{m}\)

(E) None of the above

GMATBusters Collection


Remember that we have two possible cases: \(\frac{m}{n}\) is between 0 and 1, or \(\frac{m}{n}\) is negative.
If \(\frac{m}{n}\) is negative then this means m and n have opposite signs. We will check if the answers are forced to be positive first.
(A) m negative n positive, then A is negative.
(B) m negative n positive, then B is negative.
(C) n negative m positive, then C is negative.
(D) n negative m positive, then D is negative.

Therefore in all cases we can't even pass the "must be positive" test, E is the answer.
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If m/n < 1 which of the following must be greater than 1 ?   [#permalink] 16 Apr 2020, 09:31

If m/n < 1 which of the following must be greater than 1 ?

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