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 0.005<k<0.02
[#permalink]
08 Aug 2026, 08:16
08 Aug 2026, 08:16
Expert Reply
1
Bookmarks
00:00
Question Stats:
36% (01:46) correct
63% (02:42) wrong based on 11 sessions
Hide Show timer Statistics
If \(0.005<k<0.02 \)
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(\frac{0.02}{1-0.02 }\) |
\(\frac{k}{1-3k}\) |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
- Part of the project: GRE Daily Quant Challenge ALL 4 CORE QUANT AREAS
- Also replying to the unanswered questions
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2931
Given Kudos: 1283
GPA: 3.39
Re: If 0.005<k<0.02
[#permalink]
13 Aug 2026, 13:16
13 Aug 2026, 13:16
1
Expert Reply
Explanation
We need compare: \(A=\frac{0.02}{1-0.02}=\frac{0.02}{0.98}≈0.0204\)
For Quantity B:
\(B=\frac{k}{1-3k}\)
Since \(0.005<k<0.02,\) B increases as \(k\) increases. Its maximum occurs as k approaches 0.02:
\(B<\frac{0.02}{1-3(0.02)}=\frac{0.02}{0.94}≈0.0213\)
But B can be less than or greater than A.
For example:
\(k=0.01: B≈0.0103<A\)
\(k=0.019: B≈0.0201<A\)
\(k=0.0195: B≈0.02075>A\)
So the relationship cannot be determined.
Answer: D
We need compare: \(A=\frac{0.02}{1-0.02}=\frac{0.02}{0.98}≈0.0204\)
For Quantity B:
\(B=\frac{k}{1-3k}\)
Since \(0.005<k<0.02,\) B increases as \(k\) increases. Its maximum occurs as k approaches 0.02:
\(B<\frac{0.02}{1-3(0.02)}=\frac{0.02}{0.94}≈0.0213\)
But B can be less than or greater than A.
For example:
\(k=0.01: B≈0.0103<A\)
\(k=0.019: B≈0.0201<A\)
\(k=0.0195: B≈0.02075>A\)
So the relationship cannot be determined.
Answer: D
gmatclubot
Re: If 0.005<k<0.02 [#permalink]
13 Aug 2026, 13:16
Moderators:
