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Is p + 2  p > 5? (1) p < 2 (2) p > p^2
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Updated on: 03 Aug 2018, 09:14
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Is p + 2  p > 5? (1) p < 2 (2) p > p^2
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Originally posted by a70 on 03 Aug 2018, 09:01.
Last edited by Bunuel on 03 Aug 2018, 09:14, edited 1 time in total.
Renamed the topic and edited the question.



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Is p + 2  p > 5? (1) p < 2 (2) p > p^2
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03 Aug 2018, 10:35
ankit7055 wrote: Is p + 2  p > 5?
(1) p < 2 (2) p > p^2 p + 2 > 5 + p Answer is YES for negative numbers with high magnitude Answer is NO for any number greater than 4 (1) p < 2 2 < p < 2 NO. Sufficient. (2) p > p^2 0 < p < 1 NO. Sufficient. Answer: D
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Re: Is p + 2  p > 5? (1) p < 2 (2) p > p^2
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22 Aug 2018, 00:39
Can someone please explain this better?



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Re: Is p + 2  p > 5? (1) p < 2 (2) p > p^2
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22 Aug 2018, 02:30
surabhikhandelwal13 wrote: Can someone please explain this better? Quote: Is \(p + 2  p > 5\)? (1) \(p < 2\) (2) \(p > p^2\) OA: D Reducing Question stem, we get Case 1 : If \(p+2 ≥0\) , \(p≥2\) \(p+2p>5\) \(2>5\) (Not possible) So For \(p≥2\), Answer for Question : Is \(p + 2  p > 5\) : NoCase 2 :If \(p+2 <0 , p<2\) \((p+2)p>5\) \(p2p>5\) \(2p2>5\) \(2p>7\) \(p<\frac{7}{2}\) for \(\frac{7}{2}≤p<2\) Answer for Question : Is \(p + 2  p > 5\) : NoFor \(\frac{7}{2}<p\) Answer for Question : Is \(p + 2  p > 5\) : YesSummarising \(p≥\frac{7}{2}\) ; Is \(p + 2  p > 5\) : No \(p<\frac{7}{2}\) ; Is \(p + 2  p > 5\) : Yes(1) \(p < 2\) This means \(2<p<2\) As \(p≥\frac{7}{2}\), Is \(p + 2  p > 5\) : NoStatement 1 alone is sufficient (2) \(p > p^2\) This means \(0<p<1\) As \(p≥\frac{7}{2}\), Is \(p + 2  p > 5\) : NoStatement 2 alone is sufficient
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Re: Is p + 2  p > 5? (1) p < 2 (2) p > p^2
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22 Aug 2018, 07:21
surabhikhandelwal13 wrote: Can someone please explain this better? Is \(p+2−p>5?\) (1) \(p<2\) (2) \(p>p^2\) Simplifying question stem: \(p+2−p>5\) Case1 (when \((p+2)\geq{0}\) or \(p\geq{2}\), p+2=p+2) p+2p>5 2>5 Invalid. Case2 (when \((p+2)<{0}\) or p< 2, p+2=(p+2)) (p+2)p>5 Or, 2p2>5 Or, 2p>7 Or, \(p < \frac{7}{2}\) Combining the ranges: a) p>2 and invalid OR b) p<2 and \(p < \frac{7}{2}\), we have \(p < \frac{7}{2}\) Rephrased question stem: Is \(p < \frac{7}{2}(=3.5)?\) St1: \(p<2\) Or, \(2<p<2\) Answer to question stem is always NO. Sufficient. St2: \(p>p^2\) Or, \(p^2<p\) (Switching sides) Or, \(p^2p<0\) Or, \(p(p1)<0\) Or, \(0<p<1\) Answer to question stem is always NO. Sufficient. Ans. (D)
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Re: Is p + 2  p > 5? (1) p < 2 (2) p > p^2
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22 Aug 2018, 08:24
Answer is D Consider kudos if that helped Attachment:
1534955144452.jpg [ 61.25 KiB  Viewed 824 times ]
Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
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Re: Is p + 2  p > 5? (1) p < 2 (2) p > p^2
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22 Aug 2018, 09:16
Quote: Is p + 2  p > 5?
(1) p < 2 (2) p > p^2 \(\left {p + 2} \right  p = \left\{ \begin{gathered} \left( {p + 2} \right)  p = 2\,\,\,\,\,if\,\,\,p \geqslant 2 \hfill \\ \left( {p  2} \right)  p = 2p  2\,\,\,\,\,if\,\,\,p < 2 \hfill \\ \end{gathered} \right.\) \(?\,\,\,\,\,:\,\,\,\,\,\,\left\{ \begin{gathered} 2\,\,\,\,\mathop > \limits^? \,\,\,5\,\,\,\,\,\,\,\,if\,\,\,p \geqslant 2\, \hfill \\ 2p  2\,\,\,\,\mathop > \limits^? \,\,\,5\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\,\,\,p\,\,\mathop < \limits^?  \frac{7}{2}\,\,\,\,\,\,\,if\,\,\,p < 2\, \hfill \\ \end{gathered} \right.\) (1) 2 < p < 2 , hence we are dealing with the second expression in the last two possibilities. And NO, p is not less than 3.5 , for sure. Sufficient. (2) \(p > {p^2}\,\,\, \Leftrightarrow \,\,\,p\left( {p  1} \right) < 0\,\,\, \Leftrightarrow \,\,\,0 < p < 1\) We are again dealing with the second expression in the last two possibilities. And NO, p is not less that 3.5, for sure. Sufficient. The solution above follows the notations and rationale taught in the GMATH method.
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Is p + 2 − p > 5?
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02 Jan 2019, 09:50
Is p + 2 − p > 5?
(1) p < 2
(2) p > p^2



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Is p + 2  p > 5? (1) p < 2 (2) p > p^2
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Updated on: 03 Jan 2019, 02:46
The answer is D. We can answer with a mixture of Alternative and Logical methods 1) let's try the edge cases, max and min: if p=2, then p + 2 − p = 42 = 2  no! if p=2, then p + 2 − p = 2 + 2 − (2)=0+2=2  no! two edge cases, same answer  sufficient! 2) this condition (p > p^2) is only true for positive fractions (0<p<1), for whom p + 2 − p is definitely smaller than 5  sufficient!
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Re: Is p + 2 − p > 5?
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02 Jan 2019, 11:18
please correct OA to B



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Re: Is p + 2 − p > 5?
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02 Jan 2019, 11:28
Shouldn't OA be D since both statements are sufficient to answer the prompt? DavidTutorexamPAL barrysealDavidTutorexamPAL wrote: The answer is B. We can answer with a mixture of Alternative and Logical methods 1) let's try the edge cases, max and min: if p=2, then p + 2 − p = 42 = 2  no! if p=2, then p + 2 − p = 2 + 2 − (2)=0+2=2  no! two edge cases, same answer  sufficient!
2) this condition (p > p^2) is only true for positive fractions (0<p<1), for whom p + 2 − p is definitely smaller than 5  sufficient!



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Re: Is p + 2 − p > 5?
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02 Jan 2019, 11:48
Yes you're right. Sorry funsogu wrote: Shouldn't OA be D since both statements are sufficient to answer the prompt? DavidTutorexamPAL barrysealDavidTutorexamPAL wrote: The answer is B. We can answer with a mixture of Alternative and Logical methods 1) let's try the edge cases, max and min: if p=2, then p + 2 − p = 42 = 2  no! if p=2, then p + 2 − p = 2 + 2 − (2)=0+2=2  no! two edge cases, same answer  sufficient!
2) this condition (p > p^2) is only true for positive fractions (0<p<1), for whom p + 2 − p is definitely smaller than 5  sufficient!



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Re: Is p + 2  p > 5? (1) p < 2 (2) p > p^2
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03 Jan 2019, 02:38



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Re: Is p + 2  p > 5? (1) p < 2 (2) p > p^2
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03 Jan 2019, 02:46
funsogu wrote: Shouldn't OA be D since both statements are sufficient to answer the prompt? DavidTutorexamPAL barrysealDavidTutorexamPAL wrote: The answer is B. We can answer with a mixture of Alternative and Logical methods 1) let's try the edge cases, max and min: if p=2, then p + 2 − p = 42 = 2  no! if p=2, then p + 2 − p = 2 + 2 − (2)=0+2=2  no! two edge cases, same answer  sufficient!
2) this condition (p > p^2) is only true for positive fractions (0<p<1), for whom p + 2 − p is definitely smaller than 5  sufficient! Yes, corrected it thanks!
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Re: Is p + 2  p > 5? (1) p < 2 (2) p > p^2
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03 Jan 2019, 08:37
sumit411 wrote: Answer is D Consider kudos if that helped Attachment: 1534955144452.jpg Sent from my ONEPLUS A3003 using GMAT Club Forum mobile appAppreciations to your detailed explanation, thanks bro..



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Re: Is p + 2  p > 5? (1) p < 2 (2) p > p^2
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06 Jan 2019, 02:41
a70 wrote: Is p + 2  p > 5?
(1) p < 2 (2) p > p^2 from the given info we can say; p>7/2 or 3.5 #1: lpl<2 sufficient since p would be less thean 3.5 #2 p > p^2 1>p since 1>p so p wont be >3.5 sufficeint IMO D
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Re: Is p + 2  p > 5? (1) p < 2 (2) p > p^2 &nbs
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