Is m>n?
(1) |m| > |n|
(2) m^2>n^2
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Both statements are satisfied if m=1 and n=0, in which case m>n.amontobin wrote:Is m>n?
(1) |m| > |n|
(2) m^2>n^2
Both statements are satisfied if m=-1 and n=0, in which case m<n.
Since the answer to the question stem is YES in the first case but NO in the second case, the two statements combined are INSUFFICIENT.
The correct answer is E.
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Statement 1: |m| > |n|amontobin wrote:Is m>n?
(1) |m| > |n|
(2) m^2>n^2
=> m > n if m and n are positive numbers. For example, say m = 2 and n = 1. The answer is Yes.
However, m < n if m and n are negative numbers. For example, say m = -2 and n = -1. The answer is No. Not sufficient.
Statement 2: m^2>n^2
=> |m| > |n|.
It's the same statement as is Statement 1. Not sufficient.
Even combining them will not help as both the statement are in fact the same.
The correct answer: E
Hope this helps!
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