GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 25 Feb 2020, 14:23 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # Is m^2/n>0?

Author Message
TAGS:

### Hide Tags

Retired Moderator V
Joined: 27 Oct 2017
Posts: 1489
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)

### Show Tags

1 00:00

Difficulty:   65% (hard)

Question Stats: 42% (01:18) correct 58% (01:02) wrong based on 33 sessions

### HideShow timer Statistics

Is $$\frac{m^2}{n}$$>0?

1) $$m-2n>1$$
2) $$2<n<7$$

GMATbuster's Collection

_________________
Intern  B
Joined: 11 May 2019
Posts: 27

### Show Tags

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.

Posted from my mobile device
GMAT Club Legend  V
Joined: 18 Aug 2017
Posts: 5918
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)

### Show Tags

#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) $$2<n<7$$

GMATbuster's Collection
Intern  Joined: 24 Jan 2020
Posts: 2

### Show Tags

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?

Posted from my mobile device
Retired Moderator V
Joined: 27 Oct 2017
Posts: 1489
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)

### Show Tags

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?

Posted from my mobile device

_________________
Intern  Joined: 24 Jan 2020
Posts: 2

### Show Tags

gmatbusters

Thanks for this refresher.

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

Posted from my mobile device
Retired Moderator V
Joined: 27 Oct 2017
Posts: 1489
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)

### Show Tags

What is meant by "this" inequality in your doubt? Are you asking a new question or 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?

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?

Posted from my mobile device

_________________
Retired Moderator V
Joined: 27 Oct 2017
Posts: 1489
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)

### Show Tags

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

Posted from my mobile device

_________________
Retired Moderator V
Joined: 27 Oct 2017
Posts: 1489
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)

### Show Tags

The Solution of question is as follows: Attachment: WhatsApp Image 2020-01-28 at 10.28.41 PM.jpeg [ 66.8 KiB | Viewed 178 times ]

_________________
Director  P
Joined: 16 Jan 2019
Posts: 574
Location: India
Concentration: General Management
WE: Sales (Other)

### Show Tags

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

1) $$m-2n>1$$
2) $$2<n<7$$

GMATbuster's Collection

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) $$2<n<7$$

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

Posted from my mobile device Is m^2/n>0?   [#permalink] 28 Jan 2020, 09:31
Display posts from previous: Sort by

# Is m^2/n>0?  