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.
The median of three positive integers
[#permalink]
25 Sep 2021, 19:02
25 Sep 2021, 19:02
1
Expert Reply
00:00
Question Stats:
75% (01:03) correct
24% (01:36) wrong based on 29 sessions
Hide Show timer Statistics
The median of three positive integers a, b and c is equal to the median of 4 positive integers w, x, y and z.
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+b+c |
x+y+z |
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
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The median of three positive integers
[#permalink]
26 Sep 2021, 07:30
26 Sep 2021, 07:30
1
RA911 wrote:
The median of three positive integers a, b and c is equal to the median of 4 positive integers w, x, y and z.
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+b+c |
x+y+z |
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
Since it SEEMS like we don't have enough information to determine which quantity is greater, I'm going to test some values...
case i: {a,b,c} = {1,1,1} and {w,x,y,z} = {1,1,1,1} (notice that the medians of the two sets are equal). We get:
Quantity A: a+b+c = 1+1+1 = 3
Quantity B: x+y+z = 1+1+1 = 3
In this case, the two quantities are equal
case ii: {a,b,c} = {1,1,1} and {w,x,y,z} = {0,1,1,2} (notice that the medians of the two sets are equal). We get:
Quantity A: a+b+c = 1+1+1 = 3
Quantity B: x+y+z = 1+1+2 = 4
In this case, Quantity B is greater
RELATED VIDEO
gmatclubot
Re: The median of three positive integers [#permalink]
26 Sep 2021, 07:30
Moderators:
