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If 1 < p < 3, then which of the following could be true?
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14 Jan 2020, 23:14
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Competition Mode Question If 1 < p < 3, then which of the following could be true? I. p^2 < 2p II. p^2 = 2p III. p^2 > 2p (A) I only (B) II only (C) III only (D) I and II only (E) I, II, and III
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Re: If 1 < p < 3, then which of the following could be true?
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14 Jan 2020, 23:30
I. p^2 < 2p  YES
If p=1.1, p^2=1.21 and 2p=2.2
II. p^2 = 2p  YES
If p=2, p^2=2p=2
III. p^2 > 2p  YES
If p=2.5, p^2=6.25 and 2p=5
Answer is (E)
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Re: If 1 < p < 3, then which of the following could be true?
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15 Jan 2020, 00:33
If 1 < p < 3, then which of the following could be true?
I. p^2 < 2p As p is positive, we can cancel out p. So, P<2. 1 < p < 3, If p=1.1, then it satisfies the condition P<2 & 1 < p < 3. So could be true II. p^2 = 2p, P=2 after cancellation of p. So, this also could be true. III. p^2 > 2p, p>2, If p=2.1, then it satisfies the condition P>2 and 1 < p < 3.
(A) I only (B) II only (C) III only (D) I and II only (E) I, II, and III
Imo. E



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Re: If 1 < p < 3, then which of the following could be true?
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15 Jan 2020, 00:43
lets say p=3/2,5/2 and 2. therefore p2= 9/4,25/4 and 4 2p=3,5,4 therefore in case of 3/2: p2<2p incase of 5/2: p2>2p and, incase of 2: p2=2p



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Re: If 1 < p < 3, then which of the following could be true?
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15 Jan 2020, 00:45
This is could be true (or false) question. As long as some of the answers are within the condition 1<p<3, the answer is valid.
I. p^2 < 2p > 0<p<2 Some of 0<p<2 are within 1<p<3 CBT (Could Be True)
II. p^2 = 2p p=0 or p=2. p=2 is within 1<p<3 CBT
III. p^2 > 2p > p<0 or p>2 Some p>2 are within 1<p<3 CBT
FINAL ANSWER IS (E) I, II, III
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Re: If 1 < p < 3, then which of the following could be true?
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15 Jan 2020, 00:50
test value of p with 3/2,2 & 5/2 we get I. p^2 < 2p II. p^2 = 2p III. p^2 > 2p to be valid and true ; since its could be true type IMO E is correct
If 1 < p < 3, then which of the following could be true?
I. p^2 < 2p II. p^2 = 2p III. p^2 > 2p
(A) I only (B) II only (C) III only (D) I and II only (E) I, II, and III



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Re: If 1 < p < 3, then which of the following could be true?
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15 Jan 2020, 00:55
Here p = 3/2, 2, 5/2 I. When, P = 3/2, then, p^2 = 9/4 and 2p =3/2*2 = 3, Ok II. When p = 2, then, p^2 = 4, and 2p = 4, Ok. III. When, p = 5/2, then p^2 = 25/4, 2p = 2*(5/2) = 5, OK Answer. E



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Re: If 1 < p < 3, then which of the following could be true?
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Updated on: 15 Jan 2020, 00:58
If 1 < p < 3,then which of the following could be true? Could be true = yes and no Must be true = consistently yes Cannot be true = consistently no Constraint: 1<p<3.: p= 3/2 or 2 or 5/2 I. p^2 < 2pWhen p= 3/2 (3/2)^2 < 2(3/2) —> 9/4 < 3? Yes When p= 5/2 (5/2)^2 < 2(5/2) —> 25/4 < 5? No (I) could be true ,Eliminate B and C II. p^2 = 2pWhen p= 3/2 (3/2)^2 =2(3/2) —> 9/4 =3? No When p=2 2^2=2(2) —> 4=4? Yes (II) could be true, Eliminate A III. p^2 > 2pWhen p=3/2, 9/4 > 3? No When p= 5/2 , 25/4 >5? Yes Eliminate D ,we left with E (A) I only (B) II only (C) III only (D) I and II only (E) I, II, and IIIHit that E Posted from my mobile device
Originally posted by Staphyk on 15 Jan 2020, 00:57.
Last edited by Staphyk on 15 Jan 2020, 00:58, edited 1 time in total.



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Re: If 1 < p < 3, then which of the following could be true?
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15 Jan 2020, 00:58
If 1 < p < 3, then which of the following could be true? I. \(p^2 < 2p\) .. Let's consider \(P=1.1\) \(1.1^2 < 2*1.1\) \(1.21<2.2\) .. True II. \(p^2 = 2p\) .. let's consider \(P=2\) \(2^2 = 2*2\) \(4 = 4\) .. True III. \(p^2 > 2p\) .. let's consider \(P=2.5\) \(2.5^2 > 2*2.5\) \(6.25 > 5\) .. True Option 'E' is the winner
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Re: If 1 < p < 3, then which of the following could be true?
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15 Jan 2020, 03:11
Given, \(1 < p < 3\)
I. \(p^2 < 2p\) > \(p^2  2p < 0\) > \(p(p  2) < 0\) > \(0 < p < 2\) > Could be True (as 1 < p < 2 satisfies the given range for p)
II. \(p^2 = 2p\) > \(p^2  2p = 0\) > \(p(p  2) = 0 \) > \(p = 0\) or \(2\) > Could be True (as p = 2 falls given range for p)
III. \(p^2 > 2p\) > \(p^2  2p > 0\) > \(p(p  2) > 0\) > \(p < 0\) or \(p > 2\) > Could be True (as p > 2 satisfies given range for p)
Option E



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Re: If 1 < p < 3, then which of the following could be true?
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15 Jan 2020, 08:16
Given that 1<p<3, we are to determine which of the following could be true.
It is worth noting that could be true means we only need to prove that there exists a number within the given range that satisfies the given condition.
I. p^2 < 2p Let p=1.5, 2p=3, and p^2=2.25. Since p^2(2.25) < 2p(3) I could be true.
II. p^2=2p Let p=2, then 2p=4 and p^2=4. Since p^2=2p=4, II could be true.
III. p^2>2p Let p=2.5, then 2p=5 and p^2=6.25. Since p^2(6.25)>2p(5), III could be true.
The answer is E.



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Re: If 1 < p < 3, then which of the following could be true?
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15 Jan 2020, 09:22
If 1 < p < 3, then which of the following could be true? I. \(p^2 < 2p\) If p = 1.5, 2p = 3 \(1.5^2 = 2.25 \)TRUE II. \(p^2 = 2p\) If p = 2, 2p = 4 \(2^2 = 4\) TRUE III. \(p^2 > 2p\) If p = 2.5, 2p = 5 \(2.5^2 = 6.25\) TRUE (A) I only (B) II only (C) III only (D) I and II only (E) I, II, and III ANSWER E.
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Re: If 1 < p < 3, then which of the following could be true?
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15 Jan 2020, 16:00
If 1 < p < 3, then which of the following could be true?
I. \(p^{2} < 2p\) —> \(p^{2} —2p = p(p—2) <0\) 0 <p <2 —> p is in 1< p <2 (could be true)
II. \(p^{2} = 2p\) p *(p—2)= 0 p= 2 and p= 0 —> p =2 and p is in 1 <p <3 (could be true)
III. \(p^{2} > 2p\) —> p*(p—2) <0 p <0 and p >2 —> p is in 2 <p <3 (could be true)
The answer is E.
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Re: If 1 < p < 3, then which of the following could be true?
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15 Jan 2020, 16:22
Quote: If 1 < p < 3, then which of the following could be true?
I. p^2 < 2p II. p^2 = 2p III. p^2 > 2p
(A) I only (B) II only (C) III only (D) I and II only (E) I, II, and III I. p^22p<0, p(p2)<0; p>0 then p2<0, p<2 (1<p<3) true; II. p^2 = 2p, p^22p=0, p(p2)=0; p=0, or p=2, but p≠0 (1<p<3) true; III. p^2 > 2p, p^22p>0, p(p2)>0, p>0 then p2>0 p>2 (1<p<3) true; Ans (E)



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Re: If 1 < p < 3, then which of the following could be true?
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15 Jan 2020, 18:57
Solving with values
I. p^2 < 2p When p = 1.1
II. p^2 = 2p When p =2
III. p^2 > 2p When p=2.1
I,II,III could be true Hence, E is correct



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Re: If 1 < p < 3, then which of the following could be true?
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15 Jan 2020, 20:54
Ans: E
1)p2<2p p(p2)<0..so, 0<p<2..so if P can be 1.5 which is in the mentioned range 1<p<3
2)p2=2p p(p2)=0, so p=0 or p=2..so when p=2, it's in the mentioned range 1<p<3
3)p2>2p p(p2)>0..so, p>2 or p<0..so when P=2.5, it's in the mentioned range 1<p<3
so, all three could be true.



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Re: If 1 < p < 3, then which of the following could be true?
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21 Jan 2020, 08:35
Bunuel wrote: Competition Mode Question If 1 < p < 3, then which of the following could be true? I. p^2 < 2p II. p^2 = 2p III. p^2 > 2p (A) I only (B) II only (C) III only (D) I and II only (E) I, II, and III If p = 1.5, we see that p^2 = 2.25 < 2p = 3. So I could be true. If p = 2, we see that p^2 = 4 = 2p. So II could be true. If p = 2.5, we see that p^2 = 6.25 > 2p = 5. So III could be true. Answer: E
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Re: If 1 < p < 3, then which of the following could be true?
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