Is mp greater than m?
(1) m > p > 0
(2) p is less than 1
OA: C
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richachampion
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Hi richachamption,
To start, this should be in the DS Forum. That having been said, this prompt can be solved by TESTing VALUES and using Number Properties. The key is to recognize that the variables are not necessarily positive integers.
We're asked if MP > M. This is a YES/NO question.
1) M > P > 0
IF... M = 4, P = 2, then the answer to the question is YES.
IF... M = 4, P = 1/2, then the answer to the question is NO.
Fact 1 is INSUFFICIENT
2) P is LESS than 1
This Fact tells us NOTHING about the value of M.
IF... M = 4, P = 1/2, then the answer to the question is NO.
IF... M = -4, P = 1/2, then the answer to the question is YES.
Fact 2 is INSUFFICIENT
Combined, we know that...
P is LESS than 1
M > P > 0
Since P = positive fraction, then M = larger positive and the answer to the question is ALWAYS NO (since multiplying a positive number by a positive fraction will ALWAYS lead to a product that is smaller than the first number).
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
To start, this should be in the DS Forum. That having been said, this prompt can be solved by TESTing VALUES and using Number Properties. The key is to recognize that the variables are not necessarily positive integers.
We're asked if MP > M. This is a YES/NO question.
1) M > P > 0
IF... M = 4, P = 2, then the answer to the question is YES.
IF... M = 4, P = 1/2, then the answer to the question is NO.
Fact 1 is INSUFFICIENT
2) P is LESS than 1
This Fact tells us NOTHING about the value of M.
IF... M = 4, P = 1/2, then the answer to the question is NO.
IF... M = -4, P = 1/2, then the answer to the question is YES.
Fact 2 is INSUFFICIENT
Combined, we know that...
P is LESS than 1
M > P > 0
Since P = positive fraction, then M = larger positive and the answer to the question is ALWAYS NO (since multiplying a positive number by a positive fraction will ALWAYS lead to a product that is smaller than the first number).
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
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fiza gupta
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GIven: mp>m
mp-m>0
m(p-1)>0
can be true if:
(i)m>0 and p>1 or (ii)m<0 and p<1
1) m>p>0
m>0 but p>1 or 0<p<1(p>0)
didn't satisfy neither i nor ii
NOT SUFFICIENT
2) p<1
but m?
NOT SUFFICIENT
combining
p>0 and p<1 => 0<p<1
(mp<m because m>p and 0<p<1, multiplication of positive number with positive fraction leads to small number)
SUFFICIENT
SO C
mp-m>0
m(p-1)>0
can be true if:
(i)m>0 and p>1 or (ii)m<0 and p<1
1) m>p>0
m>0 but p>1 or 0<p<1(p>0)
didn't satisfy neither i nor ii
NOT SUFFICIENT
2) p<1
but m?
NOT SUFFICIENT
combining
p>0 and p<1 => 0<p<1
(mp<m because m>p and 0<p<1, multiplication of positive number with positive fraction leads to small number)
SUFFICIENT
SO C
Fiza Gupta
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GMATinsight
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Question :Is mp greater than m?richachampion wrote:Is mp greater than m?
(1) m > p > 0
(2) p is less than 1
OA: C
Question :Is mp - m > 0?
Question :Is m(p - 1) > 0?
Statement 1: m > p > 0
Now we know that m and p are positive but whether p-1 is greater than 0 or not is still unknown hence
NOT SUFFICIENT
Statement 2: p < 1
Now we know that p-1 is Negative but whether m is greater than 0 or not is still unknown hence
NOT SUFFICIENT
Combining the two statements
Now we know that p-1 is Negative and m is positive hence
m(p-1) will be less than zero for sure
SUFFICIENT
Answer: Option C
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