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17 Dec 2010, 11:24
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66% (01:18) correct
34%
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17 Dec 2010, 11:34
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If m/n = 1/2, what is the value of m + n ?
(1) \(mn = 2\):
Substitute \(n = 2m\) into the above:
If \(m = -1\), then \(3m = -3\);
If \(m = 1\), then \(3m = 3\).
Not sufficient.
(2) n > 0. Not sufficient.
(1)+(2) Since from (2) \(n>0\), then \(m>0\) (as n=3m), thus \(3m=3\). Sufficient.
Answer: C.
- Given: \(\frac{m}{n}=\frac{1}{2}\) --> \(n=2m\).
Question: \(m + n = m + 2m = 3m = ?\)
(1) \(mn = 2\):
Substitute \(n = 2m\) into the above:
- \(m*(2m) = 2\);
\(2m^2 = 2\);
\(m^2 = 1\);
\(m = -1\) or \(m=1\).
If \(m = -1\), then \(3m = -3\);
If \(m = 1\), then \(3m = 3\).
Not sufficient.
(2) n > 0. Not sufficient.
(1)+(2) Since from (2) \(n>0\), then \(m>0\) (as n=3m), thus \(3m=3\). Sufficient.
Answer: C.
16 Mar 2016, 07:22
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m / n = 1 / 2 , what is the value of m + n
m/n=1/2 => n=2m
(1) mn = 2
n=2m => m^2=1 => m=+1 or -1. No single value. INSUFFICIENT
(2) n > 0
Nothing about m. Insufficient.
Combining 1 and 2
m= +1, n=2
Sufficient
Hence C.
m/n=1/2 => n=2m
(1) mn = 2
n=2m => m^2=1 => m=+1 or -1. No single value. INSUFFICIENT
(2) n > 0
Nothing about m. Insufficient.
Combining 1 and 2
m= +1, n=2
Sufficient
Hence C.
