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Is m^2/n>0?

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Is m^2/n>0? [#permalink] New post   25 Jan 2020, 23:52
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A
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55% (hard)

Question Stats:

42% (01:20) correct 58% (01:06) wrong based on 55 sessions
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Is \(\frac{m^2}{n} \)>0?

1) \(m-2n>1\)
2) \(2<n<7\)

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Re: Is m^2/n>0? [#permalink] New post   26 Jan 2020, 00:16
C

Statement 1 is insufficient because we do not know the value of n.n can be +ve or -ve.

Statement 2 is insufficient because we do not know either m is 0 or +ve. Because squares are non negative

1 + 2 provides the solution.

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Re: Is m^2/n>0? [#permalink] New post   26 Jan 2020, 01:52
#1
\(m-2n>1\)
value of n could be +/-ve and then we get both yes & no to \(\frac{m^2}{n} \)>0?
insufficient

#2
\(2<n<7\)
value of m not know insufficient
from1&2
we can say \(\frac{m^2}{n} \)>0 sufficient
IMO C

gmatbusters wrote:
Is \(\frac{m^2}{n} \)>0?

1) \(m-2n>1\)
2) \(2<n<7\)

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Re: Is m^2/n>0? [#permalink] New post   26 Jan 2020, 17:55
Is m=0 a solution to this inequality?

If x>0 then is x=0 a solution?
If m^2 > 5^2 then m=5 a solution?
If m^2 > 0 then m=0 a solution?

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Re: Is m^2/n>0? [#permalink] New post   26 Jan 2020, 18:29
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One need not find the exact value of variable in Data Sufficiency question.

A GMAT data sufficiency question is made up of a question and two statements, labeled (1) and (2). Your job is to decide whether the data given in each of the statements is sufficient (enough) to answer the given question.


A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
C. Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient


gmatgyan wrote:
Is m=0 a solution to this inequality?

If x>0 then is x=0 a solution?
If m^2 > 5^2 then m=5 a solution?
If m^2 > 0 then m=0 a solution?

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Re: Is m^2/n>0? [#permalink] New post   26 Jan 2020, 18:32
gmatbusters

Thanks for this refresher.

Still doesn't answer the questions raised here.. please give point by point refutal on them.

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Re: Is m^2/n>0? [#permalink] New post   26 Jan 2020, 18:40
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What is meant by "this" inequality in your doubt? Are you asking a new question or the question in thread?

For the question in thread,

In is....? Type questions, one need to answer in Yes or No.

If m =0, is m²/n>0? Reduces to is 0>0?
Answer is No

If m not =0 and n >0, answer is Yes

One need not find exact value of m. In fact, for the above Question, exact value of m can not be determined.

Even a definite NO is alao taken as sufficiency


gmatbusters wrote:
One need not find the exact value of variable in Data Sufficiency question.

A GMAT data sufficiency question is made up of a question and two statements, labeled (1) and (2). Your job is to decide whether the data given in each of the statements is sufficient (enough) to answer the given question.


A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
C. Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient


gmatgyan wrote:
Is m=0 a solution to this inequality?

If x>0 then is x=0 a solution?
If m^2 > 5^2 then m=5 a solution?
If m^2 > 0 then m=0 a solution?

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Re: Is m^2/n>0? [#permalink] New post   26 Jan 2020, 18:42
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The answer to your query is NO.

gmatgyan wrote:
Is m=0 a solution to this inequality?

If x>0 then is x=0 a solution? NO
If m^2 > 5^2 then m=5 a solution?NO
If m^2 > 0 then m=0 a solution?NO

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Re: Is m^2/n>0? [#permalink] New post   28 Jan 2020, 10:02
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The Solution of question is as follows:


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Is m^2/n>0? [#permalink] New post   28 Jan 2020, 10:31
gmatbusters wrote:
Is \(\frac{m^2}{n} \)>0?

1) \(m-2n>1\)
2) \(2<n<7\)

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2 conditions are necessary for \(\frac{m^2}{n} \)>0

1. m is non zero
2. n is positive

1) \(m-2n>1\)
Or \(n<\frac{m-1}{2}\)

If m=0, NO
If m=10 and n=1, YES

1 is not sufficient

2) \(2<n<7\)

No info about m

2 is not sufficient

(1)+(2)

n is positive and m>2n+1 so m is positive

Since m and n are both positive,

\(\frac{m^2}{n} \)>0 is true

Sufficient

Answer is (C)

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Is m^2/n>0? [#permalink]
28 Jan 2020, 10:31
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