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Is P positive? (1) P^3 = P (2) |P| = P

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Hemavakade
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Is P positive? (1) P^3 = P (2) |P| = P [#permalink] New post   16 Sep 2015, 12:31
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E

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45% (medium)

Question Stats:

52% (00:52) correct 48% (00:46) wrong based on 177 sessions
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Is P positive?

(1) P^3 = P
(2) |P| = P
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E
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HieuNguyenVN
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Re: Is P positive? (1) P^3 = P (2) |P| = P [#permalink] New post   16 Sep 2015, 19:59
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Both (1) and (2) are insufficient because P can be 0 or a positive number.
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Bunuel
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Re: Is P positive? (1) P^3 = P (2) |P| = P [#permalink] New post   20 Nov 2017, 01:42
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Is P positive?

(1) P^3 = P
P^3 - P = 0
P(P^2 - 1) =0
P(P - 1)(P + 1) = 0
P = 0, P = 1, or P = -1. Not sufficient.

(2) |P| = P. This implies that P is 0 or any positive number. Not sufficient.

(1)+(2) P still can be positive, 1, or 0. Not sufficient.

Answer: E.
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akshayk
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Re: Is P positive? (1) P^3 = P (2) |P| = P [#permalink] New post   20 Nov 2017, 01:44
Hemavakade wrote:
Is P positive?

(1) P^3 = P
(2) |P| = P


S1) \(P^3\) = P
=> P(\(P^2\) - 1) = 0
=> P = -1,0,1
Insufficient.

S2) |P| = P
=> P ≥ 0
Insufficient.

Quote:
Combining both statements

This gives us no new information
Insufficient.

E is the answer.
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Bunuel
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Re: Is P positive? (1) P^3 = P (2) |P| = P [#permalink] New post   20 Nov 2017, 01:46
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akshayk wrote:
Hemavakade wrote:
Is P positive?

(1) P^3 = P
(2) |P| = P


S1) \(P^3\) = P
=>P ≥ 0
Insufficient.

S2) |P| = P
=> P ≥ 0
Insufficient.

Quote:
Combining both statements

This gives us no new information
Insufficient.

E is the answer.


The highlighted part is not correct.

P^3 = P gives 3 values: P = 0, P = 1, or P = -1.
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akshayk
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Re: Is P positive? (1) P^3 = P (2) |P| = P [#permalink] New post   20 Nov 2017, 01:48
Bunuel wrote:
akshayk wrote:
Hemavakade wrote:
Is P positive?

(1) P^3 = P
(2) |P| = P


S1) \(P^3\) = P
=>P ≥ 0
Insufficient.

S2) |P| = P
=> P ≥ 0
Insufficient.

Quote:
Combining both statements

This gives us no new information
Insufficient.

E is the answer.


The highlighted part is not correct.

P^3 = P gives 3 values: P = 0, P = 1, or P = -1.


Thanks mate. Yes, I changed it. Posted that solution by mistake.
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Re: Is P positive? (1) P^3 = P (2) |P| = P [#permalink] New post   27 Jan 2024, 13:03
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is P positive? (1) P^3 = P (2) |P| = P [#permalink]
27 Jan 2024, 13:03
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