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pairakesh10
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Is m > 5 ? 28 Oct 2014, 19:31
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35% (medium)

Question Stats:

70% (01:11) correct 30% (00:46) wrong based on 60 sessions

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Is m > 5 ?

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

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E
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WoundedTiger
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Is m > 5 ? 29 Oct 2014, 02:53
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pairakesh10
Is m > 5 ?

1. (m-10)(m-5) > 0
2. m > 0
Show more


Sol

St 1:(m-10)(m-5) > 0
We have 2 cases

Case 1 m>10 and m>5 ----> m>10 then the expression is true or greater than 0

Case 2 m<10 and m<5 or m<5..the expression will be true...Depending upon what you number you choose m may be greater or less than 5..
Consider m =11, we have case 1
Consider m=4, we have case 2
Consider m=-3, we have case 2..

St 1 not sufficient. A and D ruled out

St 2 m>0...Does not help much

Combining we have 2 cases where m>0 (in red) where m >5 and m<5

Ans E
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Is m > 5 ? 29 Oct 2014, 11:38
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pairakesh10
Is m > 5 ?

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


Sol

St 1:(m-10)(m-5) > 0
We have 2 cases

Case 1 m>10 and m>5 ----> m>10 then the expression is true or greater than 0

Case 2 m<10 and m<5 or m<5..the expression will be true...Depending upon what you number you choose m may be greater or less than 5..
Consider m =11, we have case 1
Consider m=4, we have case 2
Consider m=-3, we have case 2..

St 1 not sufficient. A and D ruled out

St 2 m>0...Does not help much

Combining we have 2 cases where m>0 (in red) where m >5 and m<5

Ans E
Show more

Can you explain how you arrived at case 2?

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Is m > 5 ? 29 Oct 2014, 20:18
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WoundedTiger
pairakesh10
Is m > 5 ?

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


Sol

St 1:(m-10)(m-5) > 0
We have 2 cases

Case 1 m>10 and m>5 ----> m>10 then the expression is true or greater than 0

Case 2 m<10 and m<5 or m<5..the expression will be true...Depending upon what you number you choose m may be greater or less than 5..
Consider m =11, we have case 1
Consider m=4, we have case 2
Consider m=-3, we have case 2..

St 1 not sufficient. A and D ruled out

St 2 m>0...Does not help much

Combining we have 2 cases where m>0 (in red) where m >5 and m<5

Ans E
Show more

Sorry! The Solution didnt make sense to me at all, I am probably missing something ... Bunuel ... Help Please!
PS: I did search if this question has been discussed anywhere else on GMAT Club, may be a separate thread, but I couldn't find anything!
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Is m > 5 ? 29 Oct 2014, 21:18
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pairakesh10
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pairakesh10
Is m > 5 ?

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


Sol

St 1:(m-10)(m-5) > 0
We have 2 cases

Case 1 m>10 and m>5 ----> m>10 then the expression is true or greater than 0

Case 2 m<10 and m<5 or m<5..the expression will be true...Depending upon what you number you choose m may be greater or less than 5..
Consider m =11, we have case 1
Consider m=4, we have case 2
Consider m=-3, we have case 2..

St 1 not sufficient. A and D ruled out

St 2 m>0...Does not help much

Combining we have 2 cases where m>0 (in red) where m >5 and m<5

Ans E
Show more

Can you explain how you arrived at case 2?

Note that product of 2 nos is + when both the numbers have the same sign

Consider the above (m-10)*(m-5)>0

So we will have m<10 and m < 5 or m <5
and m>10 and m>5...or m>10

Now take any nos in the range...

Basically, m =10 and m=5 are the roots of the equation at which (m-10)*(m-5)=0..
Now the product will be >0 for these numbers to the left smaller root (5) and to right of larger root (10)
The product will be <0 for these roots between 5<m<10..
More in general... on this topic can be found here..
if-x-is-an-integer-what-is-the-value-of-x-1-x-2-4x-94661.html#p731476
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Is m > 5 ? 29 Oct 2014, 21:20
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dmmk
WoundedTiger
pairakesh10
Is m > 5 ?

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


Sol

St 1:(m-10)(m-5) > 0
We have 2 cases

Case 1 m>10 and m>5 ----> m>10 then the expression is true or greater than 0

Case 2 m<10 and m<5 or m<5..the expression will be true...Depending upon what you number you choose m may be greater or less than 5..
Consider m =11, we have case 1
Consider m=4, we have case 2
Consider m=-3, we have case 2..

St 1 not sufficient. A and D ruled out

St 2 m>0...Does not help much

Combining we have 2 cases where m>0 (in red) where m >5 and m<5

Ans E

Sorry! The Solution didnt make sense to me at all, I am probably missing something ... Bunuel ... Help Please!
PS: I did search if this question has been discussed anywhere else on GMAT Club, may be a separate thread, but I couldn't find anything!
Show more

Does this make sense : is-m-187633.html#p1435331
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Is m > 5 ? 15 Dec 2015, 09:52
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Is m>5? Y/N

S1.
Case 1. m>10 AND m>5, so m>10 -Yes
Case 2 m<10 AND m<5, so m<5 - No-----> INSUFF

S2 m>0 means Yes and No--->INSUFF

S1+S2. Just know that m is positive----->INSUFF

E

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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