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

Question

Is m > 5 ?

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

vaibhavkapoor100 · Answer

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

Dreamer24 · Answer

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.

SonalSinha803 · Answer

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.

chetan2u · Answer

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) 50 m can be 1,2 or 9,10 Insufficient Combined.. m can be 1,2,3,4 or >10 Again insufficient E

jackspire · Answer

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.

hsn81960 · Answer

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)??

chetan2u · Answer

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..

hsn81960 · Answer

thank you for your reply. Understood

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

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