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.
xyz > 0 and y>0
[#permalink]
14 Feb 2022, 06:00
14 Feb 2022, 06:00
1
Expert Reply
1
Bookmarks
00:00
Question Stats:
74% (00:55) correct
25% (00:38) wrong based on 74 sessions
Hide Show timer Statistics
\(xyz > 0\) and \(y > 0\)
A) The quantity in Column A is greater.
B) The quantity in Column B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Answer: A
Quantity A |
Quantity B |
\(xy^2z^3 \) |
\(0\) |
A) The quantity in Column A is greater.
B) The quantity in Column B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Answer: A
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
xyz > 0 and y>0
[#permalink]
14 Feb 2022, 06:30
14 Feb 2022, 06:30
2
3
Bookmarks
Carcass wrote:
\(xyz > 0\) and \(y > 0\)
A) The quantity in Column A is greater.
B) The quantity in Column B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Answer: A
Quantity A |
Quantity B |
\(xy^2z^3\) |
\(0\) |
A) The quantity in Column A is greater.
B) The quantity in Column B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Answer: A
We can solve this question using matching operations (my favorite Quantitative Comparison strategy)
Given:
Quantity A: \(xy^2z^3\)
Quantity B: \(0\)
Since we are told \(y\) is POSITIVE, we can safely divide both quantities by \(y\) to get:
Quantity A: \(xyz^3\)
Quantity B: \(0\)
Since \(z^2\) must be POSITIVE, we can safely divide both quantities by \(z^2\) to get:
Quantity A: \(xyz\)
Quantity B: \(0\)
Since it's given that \(xyz > 0\), the correct answer is A
RELATED VIDEO
General Discussion
Re: xyz > 0 and y>0
[#permalink]
14 Feb 2022, 09:49
14 Feb 2022, 09:49
1
Carcass wrote:
\(xyz > 0\) and \(y > 0\)
A) The quantity in Column A is greater.
B) The quantity in Column B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Answer: A
Quantity A |
Quantity B |
\(xy^2z^3 0\) |
\(0\) |
A) The quantity in Column A is greater.
B) The quantity in Column B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Answer: A
Since y>0, xz must be >0 for statement to hold true. Now x & z can either be +ve or -ve together.
Case 1: When both x & z are +v : Ans is A
Cash 2: When booth x & z are -ve: In xy^2z^3 0, we can ignore y as it's +v and also squared. Z^3 will always be -ve as it's raised to odd power, so all in all both -ve will multiply and whole no. will become +ve
