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m/n > m => m/n - m > 0 =>(m- mn)/n > 0 =>m(1-n)/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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When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long +1 Kudos if you find this post helpful

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. _________________

______________ KUDOS please, if you like the post or if it helps "Giving kudos" is a decent way to say "Thanks"

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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