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Ravixxx
Is m < n?

(1) m < n^2

(2) |m| < n

Asked: Is m < n?

(1) m < n^2
n may or may not be <n^2
NOT SUFFICIENT

(2) |m| < n
0<|m|<n
|m| = m
m < n
SUFFICIENT

IMO B
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I have a doubt in this question regarding statement 2

b) |m| < n (e.g |x|<2 meaning -2<x<2)


This means that -n <m <n so If I assume n = 5 or any other no. then the range is from -5 <m< 5 then m maybe less than n or greater than n
How is this statement sufficient. Please correct me if my reasoning is wrong.
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tanushreegohain93
I have a doubt in this question regarding statement 2

b) |m| < n (e.g |x|<2 meaning -2<x<2)


This means that -n <m <n so If I assume n = 5 or any other no. then the range is from -5 <m< 5 then m maybe less than n or greater than n
How is this statement sufficient. Please correct me if my reasoning is wrong.

Even your examples, gives m less than n (5 in your case). And yes, |m| < n means that -n < m < n. Notice that you have an answer directly there: m < n.
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tanushreegohain93
I have a doubt in this question regarding statement 2

b) |m| < n (e.g |x|<2 meaning -2<x<2)


This means that -n <m <n so If I assume n = 5 or any other no. then the range is from -5 <m< 5 then m maybe less than n or greater than n
How is this statement sufficient. Please correct me if my reasoning is wrong.

Well you can take it like |2|<5
Now. No matter whether its -2 or 2 both are less than 5.
So statement 2 is sufficient

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