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Is P positive?

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Is P positive? [#permalink]

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New post 16 Sep 2015, 11:31
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Is P positive?

(1) P^3 = P
(2) |P| = P
[Reveal] Spoiler: OA

Kudos [?]: 33 [1], given: 25

2 KUDOS received
Intern
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Joined: 21 Nov 2014
Posts: 31

Kudos [?]: 48 [2], given: 20

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GMAT 1: 760 Q50 V44
Re: Is P positive? [#permalink]

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New post 16 Sep 2015, 18:59
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Both (1) and (2) are insufficient because P can be 0 or a positive number.
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Kudos [?]: 48 [2], given: 20

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Re: Is P positive? [#permalink]

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New post 20 Nov 2017, 00:42
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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Is P positive? [#permalink]

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New post 20 Nov 2017, 00:44
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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Kudos [?]: 129 [0], given: 98

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Re: Is P positive? [#permalink]

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New post 20 Nov 2017, 00:46
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.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 136066 [0], given: 12724

Senior Manager
Senior Manager
User avatar
G
Joined: 06 Jul 2016
Posts: 437

Kudos [?]: 129 [0], given: 98

Location: Singapore
Concentration: Strategy, Finance
GMAT ToolKit User Premium Member CAT Tests
Re: Is P positive? [#permalink]

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New post 20 Nov 2017, 00:48
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.
_________________

Put in the work, and that dream score is yours!

Kudos [?]: 129 [0], given: 98

Re: Is P positive?   [#permalink] 20 Nov 2017, 00:48
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