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.
0 < p < 1, then which of the following inequalities must be true?
[#permalink]
16 Sep 2024, 23:09
16 Sep 2024, 23:09
Expert Reply
00:00
Question Stats:
50% (01:25) correct
50% (01:33) wrong based on 8 sessions
Hide Show timer Statistics
\(0 < p < 1\), then which of the following inequalities must be true? Indicate all the answers that apply.
A. \(p^5 < p^3\)
B. \(p < p^2\)
C. \(p^4– p^3< p^2– p^5\)
D. \(p^4– p^5< p^2– p^3\)
A. \(p^5 < p^3\)
B. \(p < p^2\)
C. \(p^4– p^3< p^2– p^5\)
D. \(p^4– p^5< p^2– p^3\)
- Part of the project: GRE Quant & Verbal ADVANCED Daily Challenge 2024 Edition - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
- Also replying to the unanswered questions
0 < p < 1, then which of the following inequalities must be true?
[#permalink]
03 Nov 2024, 01:20
03 Nov 2024, 01:20
1
The answer is A, C and D.
A. p^5 < p^3
Raising p to a higher power results in a smaller number when 0<p<1. True.
B. p < p^2
When 0<p<1, higher exponents lead to smaller numbers. Hence, this is the opposite. False.
C. p^4 - p^3 < p^2 - p^5
Note that when 0<p<1, p^2>p^3>p^4>p^5.
Hence p^2 - p^5 will be a bigger number than p^4 - p^3.
You can plug in a number such as 0.5 if you want to check. True.
D. p^4 - p^5 < p^2 - p^3
Same logic as option C. When 0<p<1, p^2>p^3>p^4>p^5, p^4 - p^5 will be a smaller number than p^2 - p^3.
You can plug in a number such as 0.5 to check. True.
A. p^5 < p^3
Raising p to a higher power results in a smaller number when 0<p<1. True.
B. p < p^2
When 0<p<1, higher exponents lead to smaller numbers. Hence, this is the opposite. False.
C. p^4 - p^3 < p^2 - p^5
Note that when 0<p<1, p^2>p^3>p^4>p^5.
Hence p^2 - p^5 will be a bigger number than p^4 - p^3.
You can plug in a number such as 0.5 if you want to check. True.
D. p^4 - p^5 < p^2 - p^3
Same logic as option C. When 0<p<1, p^2>p^3>p^4>p^5, p^4 - p^5 will be a smaller number than p^2 - p^3.
You can plug in a number such as 0.5 to check. True.
gmatclubot
0 < p < 1, then which of the following inequalities must be true? [#permalink]
03 Nov 2024, 01:20
Moderators:
