GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 19 Mar 2019, 20:33

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

Is m > 5 ? (1) (m - 10)(m - 5) > 0 (2) m > 0

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53709
Is m > 5 ? (1) (m - 10)(m - 5) > 0 (2) m > 0  [#permalink]

Show Tags

New post 17 Jun 2018, 04:35
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

51% (01:09) correct 49% (01:01) wrong based on 70 sessions

HideShow timer Statistics

Intern
Intern
avatar
B
Joined: 09 Oct 2017
Posts: 1
Re: Is m > 5 ? (1) (m - 10)(m - 5) > 0 (2) m > 0  [#permalink]

Show Tags

New post 17 Jun 2018, 05:11
Option C ,

Statement 1 - M can be negative or positive = positive result --- Not Sufficient
Statement 2 - NS : It can take any positive value
Combining - Only positive value can be obtained when m>5 and m>10. --Sufficient
Intern
Intern
avatar
B
Joined: 05 Mar 2017
Posts: 3
CAT Tests
Re: Is m > 5 ? (1) (m - 10)(m - 5) > 0 (2) m > 0  [#permalink]

Show Tags

New post 17 Jun 2018, 05:24
1
option E

Statement 1: Take m=1,11 .Both will satisfy the equation.So insufficient.
Statement 2: doesn't give any information alone.

After combining also we can get two different value .Example M=1 and M=11 .so again insufficient.
Senior Manager
Senior Manager
User avatar
G
Joined: 14 Feb 2018
Posts: 389
Re: Is m > 5 ? (1) (m - 10)(m - 5) > 0 (2) m > 0  [#permalink]

Show Tags

New post 17 Jun 2018, 05:30
According to Statement 1, m<5 or m>10. Thus, insufficient.

According to statement 2, m>0. Still we don't know whether ot is greater than 5. Thus, insufficient.

Combining both we know, it is a positive value. Thus, m could be less than 5 but greater than 0 or could be greater than 10. We still don't know whether it is greater than 5 as there are two possibilities. Again insufficent.

Thus, I would go with E.
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7415
Re: Is m > 5 ? (1) (m - 10)(m - 5) > 0 (2) m > 0  [#permalink]

Show Tags

New post 17 Jun 2018, 07:38
Bunuel wrote:
Is m > 5 ?

(1) (m - 10)(m - 5) > 0
(2) m > 0




1) (m-10)(m-5)>0
This equation should immediately tell you that m between 5 and 10 inclusive will give you answer NO, otherwise yes..
WHY so?
For equation to hold true, both m-10 and m-5 should be of same sign..
a) when m<5, both m-10 and m-5 are negative so negative*negative=positive
b) when m>10, both m-10 and m-5 are positive, so positive*positive=positive
c) 5<m<10, m-10 is negative and m-5 is positive, so positive*negative=negative
Insufficient
2) m>0
m can be 1,2 or 9,10
Insufficient

Combined..
m can be 1,2,3,4 or >10
Again insufficient

E
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


GMAT Expert

Manager
Manager
avatar
B
Joined: 22 Sep 2017
Posts: 169
Re: Is m > 5 ? (1) (m - 10)(m - 5) > 0 (2) m > 0  [#permalink]

Show Tags

New post 23 Jun 2018, 22:00
Hello, vaibhavkapoor100

Statement 1 - M can be negative or positive = positive result --- Not Sufficient
Statement 2 - NS : It can take any positive value
Combining - Only positive value can be obtained when m>5 and m>10. --Sufficient

We can't find the conclusion by combining both options.
If we put a value such as 2, 3, 4(positive & <5) & 11, 12(positive & >5) we will get the desired result which satisfies both the statements.
So, both the options are not sufficient to answer the question.

The answer is E.
Hop it helps.
Intern
Intern
avatar
B
Joined: 16 May 2018
Posts: 47
Location: Hungary
Schools: Queen's MBA'20
Re: Is m > 5 ? (1) (m - 10)(m - 5) > 0 (2) m > 0  [#permalink]

Show Tags

New post 28 Feb 2019, 05:33
When i solve equation 1.
I get values of m as:
m-5>0
m-10>0
In either case, M>5
Shouldnt this be sufficient ?
m^2-5m-10m+50
m(m-5) -10(m-5)??
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7415
Re: Is m > 5 ? (1) (m - 10)(m - 5) > 0 (2) m > 0  [#permalink]

Show Tags

New post 28 Feb 2019, 05:50
hsn81960 wrote:
When i solve equation 1.
I get values of m as:
m-5>0
m-10>0
In either case, M>5
Shouldnt this be sufficient ?
m^2-5m-10m+50
m(m-5) -10(m-5)??



You are reading statement I wrongly..
(m-5)(m-10)>0 means both m-5 and m-10 have same sign..
Both are negative ...
m-5<0, that is m<5 and m-10<0, that is m<10...so m<5
Both are positive..
m-5>0, that is m>5 and m-10>0, that is m>10...so m>10..

So the range is m<5 and m>10..
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


GMAT Expert

Intern
Intern
avatar
B
Joined: 16 May 2018
Posts: 47
Location: Hungary
Schools: Queen's MBA'20
Re: Is m > 5 ? (1) (m - 10)(m - 5) > 0 (2) m > 0  [#permalink]

Show Tags

New post 28 Feb 2019, 07:08
thank you for your reply. Understood
GMAT Club Bot
Re: Is m > 5 ? (1) (m - 10)(m - 5) > 0 (2) m > 0   [#permalink] 28 Feb 2019, 07:08
Display posts from previous: Sort by

Is m > 5 ? (1) (m - 10)(m - 5) > 0 (2) m > 0

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.