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If m > 0, is m/n > m? [#permalink]
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01 Nov 2015, 08:21
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Re: If m > 0, is m/n > m? [#permalink]
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01 Nov 2015, 10:05
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Basically question asks if 1/n>1 Statement 1: tells that n lies between 0.5 and 0.75 thus 1/n >1. SUFFICIENT
Statement 2: provides no information on n. If n =2 then 1/n >n is true If n =2 then 1/n >n is false INSUFFICIENT
OME: A



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Re: If m > 0, is m/n > m? [#permalink]
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01 Nov 2015, 11:32
m/n > m => m/n  m > 0 =>(m mn)/n > 0 =>m(1n)/n > 0 and m > 0 1. 0.5< n < 0.75 1 n will be positive Sufficient 2. m > .5 Not sufficient Answer A
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Re: If m > 0, is m/n > m? [#permalink]
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01 Nov 2015, 11:35
Bunuel wrote: If m > 0, is m/n > m? (1) 0.5 < n < 0.75 (2) m > 0.5 Kudos for a correct solution. Given m > 0. So, the value of m can be any value greater than zero e.g. 0.25, 0.50, 1.25, 4 etc. Now questions asks whether \(\frac{m}{n}\) > m? i.e. \(\frac{1}{n}\) > 1?Statement 1 says 0.5 < n < 0.75. Here to be noted that any positive number, if divided by a decimal (d) such that 0 < d < 1 , then that positive number will be less than its quotient. For example, \(\frac{.2}{.6}\) = .33, \(\frac{5}{.60}\) = 8.33 , \(\frac{.7}{.7}\) = 1 etc. So \(\frac{m}{n}\) will be less than m. Sufficient.Statement 2 says m > 0.5. however there is no mention of n. So dual answer is possible. NOT Sufficient.So Option (A) wins.
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Re: If m > 0, is m/n > m? [#permalink]
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01 Nov 2015, 11:47
for m/n to be greater than m, n must be a decimal between 0 and 1, regardless of the value of M, since any number divided by a fraction is greater than itself. statement 1 tells us exactly what we need. n is a decimal, and is not negative. this is sufficient. statement 2 gives us a value of m. if n = 2 then m/n is not greater than m, but if n =0.5, then m/n is greater than m. not sufficient. answer A.



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Re: If m > 0, is m/n > m? [#permalink]
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01 Nov 2015, 12:04
m > 0, that is m is positive. Note : If a number is +ve then it can be multiplied or divide by itself on both side of inequality. Question "is m/n > m" becomes "is 1/n > 1" when we divide by m on both sides. 1) 0.5 < n < 0.75 so lets say n is 0.6 i.e. 6/10, then 1/n would be 10/6 which is greater than 1. Sufficient. 2) m > 0.5, as we need value of n here. information about m does not help. Insufficient. Hence, "A" is the right answer.
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Re: If m > 0, is m/n > m? [#permalink]
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01 Nov 2015, 22:06
Hi,
Going by the premise; m > 0 => m = 0.1, 0.2, 0.3, 1.2, 1.4 etc
Now using Statement 1: 0.5 < n < 0.75
Case 1: m = 0.1 n = 0.6; m/n = 0.1/0.6 = 0.16666 and m = 0.1 So m/n > m Case 2: m = 1.2 n = 0.7; m/n = 1.7 So m/n > m
Sufficient
Statement 2: We have no idea about n Insufficient
Hence Option A



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Re: If m > 0, is m/n > m? [#permalink]
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