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.
a>b>c>d>0
[#permalink]
19 Jun 2022, 23:44
19 Jun 2022, 23:44
1
Expert Reply
1
Bookmarks
00:00
Question Stats:
65% (01:01) correct
35% (00:52) wrong based on 20 sessions
Hide Show timer Statistics
\(a>b>c>d>0\)
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 |
a-d |
b-c |
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
Re: a>b>c>d>0
[#permalink]
20 Jun 2022, 05:54
20 Jun 2022, 05:54
2
Carcass wrote:
\(a>b>c>d>0\)
Quantity A |
Quantity B |
a-d |
b-c |
There are a few different ways to solve this question.
Approach #1: Number sense
Since \(a>b>c>d>0\), we can see that the difference \(a-d\) must be greater than the difference \(b-c\)
Answer: A
Approach #2: Matching operations
Given:
QUANTITY A: \(a-d\)
QUANTITY B: \(b-c\)
Add \(d\) to both quantities:
QUANTITY A: \(a\)
QUANTITY B: \(b-c+d\)
Add \(c\) to both quantities:
QUANTITY A: \(a+c\)
QUANTITY B: \(b+d\)
Since \(a>b\) and \(c>d\), we can add the two inequalities to get: \(a+c > b + d\)
Answer: A
Re: a>b>c>d>0
[#permalink]
23 Jul 2023, 18:43
23 Jul 2023, 18:43
We can also solve the problem using number line. a is put on the right-most, while d is put on the left-most. a-d means the distance between a and d. Hence, a-d > b-c.
