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.
If r < 0 and 0 <pq/r < 1, which of
[#permalink]
10 Sep 2023, 10:04
10 Sep 2023, 10:04
Expert Reply
3
Bookmarks
00:00
Question Stats:
39% (01:12) correct
60% (01:26) wrong based on 41 sessions
Hide Show timer Statistics
If \(r < 0\) and \(0 <\frac{pq}{r }< 1\), which of the following must be true?
Indicate all that apply
A. p < 0
B. q < 0
C. p > q
D. p < q
E. pq > 0
F. pq < 0
G. pq < r
H. pq > r
Indicate all that apply
A. p < 0
B. q < 0
C. p > q
D. p < q
E. pq > 0
F. pq < 0
G. pq < r
H. pq > r
Part of the project: The Butler-GRE Daily New Quant and Verbal Questions to Practice (2023) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: If r < 0 and 0 <pq/r < 1, which of
[#permalink]
10 Sep 2023, 11:51
10 Sep 2023, 11:51
Carcass can you please explain why H is correct ?
Re: If r < 0 and 0 <pq/r < 1, which of
[#permalink]
10 Sep 2023, 13:38
10 Sep 2023, 13:38
Expert Reply
Given that r < 0 and 0 < \(\frac{pq}{r}\) < 1 and we need to find which of the following is true
0 < \(\frac{pq}{r}\)
=> \(\frac{pq}{r}\) > 0
As r is negative so if we take r to the right hand side the sign of the inequality will reverse, we get
=> pq< r*0
=> pq < 0
\(\frac{pq}{r}\) < 1
As r is negative so if we take r to the right hand side the sign of the inequality will reverse, we get
=> pq > r
There is no other way to prove other options correct for sure
pq < 0
=> Either p > 0, q < 0 or p < 0, q > 0
But we cannot say for sure if any other option choice will be true.
So, Answer will be F, H
0 < \(\frac{pq}{r}\)
=> \(\frac{pq}{r}\) > 0
As r is negative so if we take r to the right hand side the sign of the inequality will reverse, we get
=> pq< r*0
=> pq < 0
\(\frac{pq}{r}\) < 1
As r is negative so if we take r to the right hand side the sign of the inequality will reverse, we get
=> pq > r
There is no other way to prove other options correct for sure
pq < 0
=> Either p > 0, q < 0 or p < 0, q > 0
But we cannot say for sure if any other option choice will be true.
So, Answer will be F, H
