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.
Sep 28Live Online Class with Top GRE Expert Mike Butville
08:00 PM EDT
-10:00 PM EDT
Top scores are possible when you enroll in a powerful GRE course, taught live online + 6 months access to TTP GRE OnDemand video courses included! Class starts Mon/Wed Sept. 28, 2026 - Dec. 9, 2026, 8:00pm-10:00pm EST
x is an integer such that x > 3
[#permalink]
09 Aug 2024, 23:22
09 Aug 2024, 23:22
1
Expert Reply
00:00
Question Stats:
58% (01:25) correct
41% (00:56) wrong based on 17 sessions
Hide Show timer Statistics
x is an integer such that x > 3
Quantity A |
Quantity B |
number of even factors of 2x |
number of odd factors of 3x |
Part of the project: GRE Quant & Verbal ADVANCED Daily Challenge 2024 Edition - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
Shorter GRE - Preparing for the Quantitative Reasoning Measure
Shorter GRE - Preparing for the Verbal Reasoning Measure
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
Shorter GRE - Preparing for the Quantitative Reasoning Measure
Shorter GRE - Preparing for the Verbal Reasoning Measure
Manager
Joined: 11 Nov 2023
Posts: 228
Given Kudos: 78
WE:Business Development (Advertising and PR)
Re: x is an integer such that x > 3
[#permalink]
29 Aug 2024, 06:59
29 Aug 2024, 06:59
1
This is an example of where plugging in small values for x might be the fastest method.
Since this problem involves even and odd integers, we need to test both even and odd integers for x.
When x is EVEN:
Using x = 4 as the plug-in value, 2x = 8 and 3x = 12
Quantity A: 8 has 3 even factors (2, 4, and 8)
Quantity B: 12 has 2 odd factors (1 and 3)
Thus, Quantity A is greater when x is EVEN.
When x is ODD:
Using x = 5 as the plug-in value, 2x = 10 and 3x = 15
Quantity A: 10 has 2 even factors (2 and 10)
Quantity B: 15 has 4 odd factors (1, 3, 5 and 15)
Thus, Quantity B is greater when x is ODD.
Since the relationship between Quantity A and B differs depending on whether x is even or odd, the relationship cannot be determined from the info given.
Since this problem involves even and odd integers, we need to test both even and odd integers for x.
When x is EVEN:
Using x = 4 as the plug-in value, 2x = 8 and 3x = 12
Quantity A: 8 has 3 even factors (2, 4, and 8)
Quantity B: 12 has 2 odd factors (1 and 3)
Thus, Quantity A is greater when x is EVEN.
When x is ODD:
Using x = 5 as the plug-in value, 2x = 10 and 3x = 15
Quantity A: 10 has 2 even factors (2 and 10)
Quantity B: 15 has 4 odd factors (1, 3, 5 and 15)
Thus, Quantity B is greater when x is ODD.
Since the relationship between Quantity A and B differs depending on whether x is even or odd, the relationship cannot be determined from the info given.
