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.
3 < a < b < 4
[#permalink]
08 Jun 2022, 01:00
08 Jun 2022, 01:00
3
Expert Reply
4
Bookmarks
00:00
Question Stats:
68% (01:33) correct
31% (01:08) wrong based on 66 sessions
Hide Show timer Statistics
\(3 < a < b < 4\)
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 |
33 1/3 % of a |
25% of b |
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 QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
3 < a < b < 4
[#permalink]
08 Jun 2022, 06:02
08 Jun 2022, 06:02
2
2
Bookmarks
Carcass wrote:
\(3 < a < b < 4\)
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 |
33 1/3 % of a |
25% of b |
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
Great question!!
Given:
QUANTITY A: 33 1/3% of a
QUANTITY B: 25% of b
Since 33 1/3% = 1/3 and 25% = 1/4, we can rewrite the quantities as follows:
QUANTITY A: (1/3)a
QUANTITY B: (1/4)b
To eliminate the fractions, let's multiply both quantities by 12 to get:
QUANTITY A: 4a
QUANTITY B: 3b
Divide both quantities by 3 to get:
QUANTITY A: 4a/3
QUANTITY B: b
Since a is positive, we can safely divide both quantities by a to get:
QUANTITY A: 4/3
QUANTITY B: b/a
Since a > 3 and since b < 4, we know that b/a < 4/3
Answer: A
Re: 3 < a < b < 4
[#permalink]
06 Sep 2023, 14:45
06 Sep 2023, 14:45
1
You can test the extremes. Test 1/3 of 3.1 v. 1/4 of 3.2 --> A is larger. Test 1/3 of 3.8 v. 1/4 of 3.9 --> A is still larger. Therefore, A is the correct answer.
