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arjunshn: Senior | Next Rank: 100 Posts; Posts: 50; Joined: Wed Apr 06, 2011 11:50 pm

by arjunshn » Fri Apr 22, 2011 12:52 am

If P is an integer ,is P|P|< 2P ?
(1) P < 0
(2) P2- 5P + 6 = 0

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Source: Beat The GMAT — Data Sufficiency | Fri Apr 22, 2011 12:52 am

force5: Legendary Member; Posts: 582; Joined: Tue Mar 08, 2011 12:48 amFollowed by: 6 members; Thanked: 61 times; GMAT Score:740

by force5 » Fri Apr 22, 2011 1:39 am

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.

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Fri Apr 22, 2011 5:34 am

arjunshn wrote:If P is an integer ,is P|P|< 2P ?
(1) P < 0
(2) P2- 5P + 6 = 0

Sorry, but this could never be a real GMAT question. In real GMAT questions, the statements do not contradict each other.
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

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