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04 Jul 2019, 05:24
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What is the value of \(|m - n|\)?
(1) \(n^2 = 36\)
(2) \(m^2 = 81\)
(1) \(n^2 = 36\)
(2) \(m^2 = 81\)
04 Jul 2019, 05:24
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Official Solution:
What is the value of \(|m - n|\)?
(1) \(n^2 = 36\).
This implies that \(n=6\) or \(n=-6\). This information is clearly insufficient, as we have no data regarding \(m\).
(2) \(m^2 = 81\).
This implies that \(m=9\) or \(m=-9\). Again, this is insufficient since we lack information about \(n\).
(1)+(2) If \(m\) and \(n\) have the same sign (either \(n=6\) and \(m=9\) OR \(n=-6\) and \(m=-9\)), then \(|m - n|=3\). However, if \(m\) and \(n\) have different signs (either \(n=6\) and \(m=-9\) OR \(n=-6\) and \(m=9\)), then \(|m - n|=15\). Given the two different possible answers, it is still not sufficient.
Answer: E
What is the value of \(|m - n|\)?
(1) \(n^2 = 36\).
This implies that \(n=6\) or \(n=-6\). This information is clearly insufficient, as we have no data regarding \(m\).
(2) \(m^2 = 81\).
This implies that \(m=9\) or \(m=-9\). Again, this is insufficient since we lack information about \(n\).
(1)+(2) If \(m\) and \(n\) have the same sign (either \(n=6\) and \(m=9\) OR \(n=-6\) and \(m=-9\)), then \(|m - n|=3\). However, if \(m\) and \(n\) have different signs (either \(n=6\) and \(m=-9\) OR \(n=-6\) and \(m=9\)), then \(|m - n|=15\). Given the two different possible answers, it is still not sufficient.
Answer: E
21 Oct 2023, 03:45
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
