If P is an integer ,is P|P|< 2P ?
(1) P < 0
(2) P2- 5P + 6 = 0
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force5
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IMO- B
P|P| will always be -ve if P is -ve. further 2P will be negative too. hence the question will be when will square be less than product with 2. ?
only till p = -2 after than square will be less than product with 2. Hence insufficient
Stmnt2- gives value of p as 2 and 3. Both values are positive and the answer for both will be NO. the only positive value for which ineq will hold true will be 1
hence Sufficient.
P|P| will always be -ve if P is -ve. further 2P will be negative too. hence the question will be when will square be less than product with 2. ?
only till p = -2 after than square will be less than product with 2. Hence insufficient
Stmnt2- gives value of p as 2 and 3. Both values are positive and the answer for both will be NO. the only positive value for which ineq will hold true will be 1
hence Sufficient.
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Brent@GMATPrepNow
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Sorry, but this could never be a real GMAT question. In real GMAT questions, the statements do not contradict each other.arjunshn wrote:If P is an integer ,is P|P|< 2P ?
(1) P < 0
(2) P2- 5P + 6 = 0
In this question, statement 1 tell us that P is negative.
However, statement 2 (assuming that it reads "P^2 - 5P + 6 = 0"), when solved by factoring --> (P-2)(P-3)=0, tells us that P=2 or P=3
So, on one hand, we are told that x is negative, and on the other hand, we are told that x is one of two positive integers.
Given these contradictions, this could never be an official GMAT question.
Brent Hanneson - Creator of GMATPrepNow.com
