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.
Nov 17Live Online Classes with Top GRE Expert Rich Zwelling
08:00 PM EST
-10:00 PM EST
Get live instruction from a top-scoring, industry-recognized GRE teachers + 6 months of access to TTP Self-Study included! Tues/Thur Sept 7, 2026---Feb. 2, 2027, 1:00pm-3:00pm EST
Dec 14Live Online Classes with Top GRE Expert Michael Butville
08:00 PM EST
-10:00 PM EST
Get live instruction from a top-scoring, industry-recognized GRE teachers + 6 months of access to TTP Self-Study included! Mon/Wed Dec. 14, 2026---Feb. 22, 2027, 8:00pm-10:00pm EST
x>0
[#permalink]
09 May 2022, 02:00
09 May 2022, 02:00
Expert Reply
00:00
Question Stats:
85% (00:43) correct
14% (00:22) wrong based on 7 sessions
Hide Show timer Statistics
\(x>0\)
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
\(7 \sqrt{x}\) |
\(\sqrt{ 3x}\) |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Part of the project: GRE Quantitative Comparison & Problem Solving Challenge
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Intern
Joined: 19 Mar 2022
Posts: 43
Given Kudos: 114
GRE 1: Q163 V156
Re: x>0
[#permalink]
10 May 2022, 03:06
10 May 2022, 03:06
1
in A, take 7 inside the root sign. this makes it sq rt (49x)
B is sr rt (3x)
Hence, A is greater.
B is sr rt (3x)
Hence, A is greater.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
x>0
[#permalink]
10 May 2022, 05:49
10 May 2022, 05:49
1
Carcass wrote:
\(x>0\)
Quantity A |
Quantity B |
\(7 \sqrt{x}\) |
\(\sqrt{ 3x}\) |
Key property #1: \(\sqrt{a} < \sqrt{b}\) if and only if \(0 < a < b\)
Key property #2: \((\sqrt{x})(\sqrt{y}) = \sqrt{xy}\)
Quantity A: \(7 \sqrt{x} = (\sqrt{49})(\sqrt{x})= \sqrt{49x}\)
Quantity B: \(\sqrt{ 3x}\)
If x is positive (which it is), then \(49x > 3x\), which means \(\sqrt{49x} > \sqrt{3x}\)
Answer: A
