January 17, 2019 January 17, 2019 08:00 AM PST 09:00 AM PST Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL. January 19, 2019 January 19, 2019 07:00 AM PST 09:00 AM PST Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 14 Mar 2013
Posts: 44
Location: United States
Concentration: General Management, Leadership
GMAT Date: 12032013
WE: General Management (Retail)

If p is a positive integer, is p + 2 > q?
[#permalink]
Show Tags
28 Sep 2013, 08:31
Question Stats:
72% (01:49) correct 28% (02:03) wrong based on 194 sessions
HideShow timer Statistics
If p is a positive integer, is p + 2 > q? (1) q^2 > p (2) q  p < 0
Official Answer and Stats are available only to registered users. Register/ Login.



Manager
Joined: 29 Apr 2013
Posts: 92
Location: India
Concentration: General Management, Strategy
GMAT Date: 11062013
WE: Programming (Telecommunications)

Re: If p is a positive integer, is p + 2 > q?
[#permalink]
Show Tags
28 Sep 2013, 08:59
If p is a positive integer, is p + 2 > q?
(1) \(q^2\) > p (2) q  p < 0Statement 1: \(q^2\) is always positive irrespective of whether q is positive or negative. So let's plugin values: q=2 and p=1 \(q^2\) = 4 > 4 > 1 p+2 = 1 + 2 = 3 > 3 > 2 > p+2 > q Again, q = 4, p = 1 \(q^2\) = 16 > 16 > 1 p+2 = 1 + 2 = 3 > 3 is not greater than 4 > (p+2) not greater than q. So statement 1 alone is insufficient. Statement 2: q  p < 0 q < p or p > q As p is a positive integer, so if p > q then p+2 is definitely greater than q. So statement 2 alone is sufficient. So Answer B
_________________
Do not forget to hit the Kudos button on your left if you find my post helpful
Collection of some good questions on Number System



Math Expert
Joined: 02 Sep 2009
Posts: 52161

Re: If p is a positive integer, is p + 2 > q?
[#permalink]
Show Tags
29 Sep 2013, 11:09



Intern
Joined: 18 Aug 2013
Posts: 15

Re: If p is a positive integer, is p + 2 > q?
[#permalink]
Show Tags
29 Sep 2013, 14:55
Could someone please let me know why we can't subtract statement 1 from the question, or what I am doing incorrectly?
For some reason, this isn't getting to the correct solution.
P + 2>q  (P< q^2) _________
2 > q  q^2
2 > q(1  q)
Which always seems to hold true. If q > 1, then 2 > (some negative); If 0<q<1, then 2 > (some number between 0 and 1); and if q < 0, then 2 > (some negative). For q = 0 or q = 1, 2 > 0.
Where's the flaw in my logic? Help would be greatly appreciated. Thanks



Math Expert
Joined: 02 Sep 2009
Posts: 52161

Re: If p is a positive integer, is p + 2 > q?
[#permalink]
Show Tags
29 Sep 2013, 15:08



Intern
Joined: 30 Jan 2018
Posts: 13

Re: If p is a positive integer, is p + 2 > q?
[#permalink]
Show Tags
08 Feb 2018, 14:46
The options are not listed.



Math Expert
Joined: 02 Sep 2009
Posts: 52161

Re: If p is a positive integer, is p + 2 > q?
[#permalink]
Show Tags
08 Feb 2018, 19:59
Missyy wrote: The options are not listed. This is a data sufficiency question. Options for DS questions are always the same. The data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether— A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked. C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked. D. EACH statement ALONE is sufficient to answer the question asked. E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed. I suggest you to go through the following posts: ALL YOU NEED FOR QUANT. Ultimate GMAT Quantitative MegathreadHope this helps.
_________________
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? Extrahard Quant Tests with Brilliant Analytics




Re: If p is a positive integer, is p + 2 > q? &nbs
[#permalink]
08 Feb 2018, 19:59






