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Is m < n? (1) m < n^2 (2) |m| < n

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Ravixxx
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Is m < n? (1) m < n^2 (2) |m| < n [#permalink] New post  19 Mar 2020, 03:11
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Is m < n?

(1) m < n^2

(2) |m| < n
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ArunSharma12
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Re: Is m < n? (1) m < n^2 (2) |m| < n [#permalink] New post  19 Mar 2020, 03:32
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Ravixxx wrote:
Is m < n?

(1) m < n^2

(2) |m| < n


statement 1:
\(m < n^2\)
when both are positive, n > m
when both are negative then m > n
not sufficient

statement 2:
|m| < n; this implies n is greater than distance of m from origin and n is always positive.
this means regardless of the sign of m, n will always be greater than magnitude of m.
sufficient.
Ans: B
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Dillesh4096
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Re: Is m < n? (1) m < n^2 (2) |m| < n [#permalink] New post  19 Mar 2020, 08:25
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Ravixxx wrote:
Is m < n?

(1) m < n^2
(2) |m| < n


(1) m < n^2
Case 1: m = 2. n = -3; —> m > n
Case 2: m = 2, n = 3; —> m < n
—> Insufficient

(2) |m| < n
Case 1: m = -2. n = 3; —> m < n
Case 2: m = 2, n = 3; —> m < n
—> m < n always —> Sufficient

Option B

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Re: Is m < n? (1) m < n^2 (2) |m| < n [#permalink] New post  19 Mar 2020, 08:44
Ravixxx wrote:
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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tanushreegohain93
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Is m < n? (1) m < n^2 (2) |m| < n [#permalink] New post  01 Jun 2020, 07:49
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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Bunuel
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Re: Is m < n? (1) m < n^2 (2) |m| < n [#permalink] New post  01 Jun 2020, 08:19
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tanushreegohain93 wrote:
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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Re: Is m < n? (1) m < n^2 (2) |m| < n [#permalink] New post  01 Jun 2020, 08:28
tanushreegohain93 wrote:
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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