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01 Feb 2020, 19:46
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C
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GMATBusters’ Quant Quiz Question -8
For questions from previous quizzes click here
Is m > 0?
(1) mn = 15
(2) m + n = 8
01 Feb 2020, 19:49
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(1) mn= 15 or any positive number
it shows either both m and n are positive or both m and n are negative
NOT Sufficient
(2) m + n= 8 or any positive number
It shows at least one of m and n is positive
NOT Sufficient
Combining Statements 1 & 2, we get both m and n are positive, hence SUFFICIENT
Answer C
it shows either both m and n are positive or both m and n are negative
NOT Sufficient
(2) m + n= 8 or any positive number
It shows at least one of m and n is positive
NOT Sufficient
Combining Statements 1 & 2, we get both m and n are positive, hence SUFFICIENT
Answer C
01 Feb 2020, 20:10
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1) If m=-3 and n=-5, then m=-3<0. However, if m=3 and n=5, then m=3>0. Therefore, this statement is clearly insufficient.
2) If m=-4 and n=12, then m=-4<0. However, if m=4 and n=4, then m=4>0. Therefore, this statement is clearly insufficient.
1)+2)
from 2): n=8-m. Plugging this equation into 1)
m(8-m)=15
m^2-8m+15=0
(m-3)(m-5)=0
here m=3 or m=5. In either case m>0. Sufficient.
Answer: C
2) If m=-4 and n=12, then m=-4<0. However, if m=4 and n=4, then m=4>0. Therefore, this statement is clearly insufficient.
1)+2)
from 2): n=8-m. Plugging this equation into 1)
m(8-m)=15
m^2-8m+15=0
(m-3)(m-5)=0
here m=3 or m=5. In either case m>0. Sufficient.
Answer: C
