GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true?
[#permalink]
27 May 2021, 21:03
27 May 2021, 21:03
2
1
Expert Reply
2
Bookmarks
00:00
Question Stats:
40% (01:43) correct
60% (01:47) wrong based on 30 sessions
Hide Show timer Statistics
If \(x^{3.5} > y^{2.5 }> z^{1.5}\), then which of the following cannot be true?
(A) x > y > z
(B) x < y < z
(C) x^3 < y^2 < z
(D) x^7 < y^5 < z^3
(E) x^10.5 > y^7.5 > z^4.5
(A) x > y > z
(B) x < y < z
(C) x^3 < y^2 < z
(D) x^7 < y^5 < z^3
(E) x^10.5 > y^7.5 > z^4.5
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true?
[#permalink]
29 May 2021, 02:39
29 May 2021, 02:39
3
1
Bookmarks
GeminiHeat wrote:
If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true?
(A) x > y > z
(B) x < y < z
(C) x^3 < y^2 < z
(D) x^7 < y^5 < z^3
(E) x^10.5 > y^7.5 > z^4.5
(A) x > y > z
(B) x < y < z
(C) x^3 < y^2 < z
(D) x^7 < y^5 < z^3
(E) x^10.5 > y^7.5 > z^4.5
\(x^{3.5} > y^{2.5} > z^{1.5}\)
\(x^{\frac{7}{2}} > y^{\frac{5}{2}} > z^{\frac{3}{2}}\)
\(\sqrt{x}^7 > \sqrt{y}^5 > \sqrt{z}^3\)
Since, \(\sqrt{x}, \sqrt{y}\), and \(\sqrt{z}\) cannot be negative, \(x^7 < y^5 < z^3\) cannot be true
Hence, option D
Re: If x^3.5 > y^2.5 > z^1.5, then which of the following cannot be true?
[#permalink]
11 Jun 2024, 07:20
11 Jun 2024, 07:20
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep 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).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep 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).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
