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
GRE Math Challenge #120-x < y < z
[#permalink]
Updated on: 11 Aug 2018, 22:49
Updated on: 11 Aug 2018, 22:49
3
Expert Reply
1
Bookmarks
00:00
Question Stats:
69% (00:43) correct
30% (00:34) wrong based on 101 sessions
Hide Show timer Statistics
\(x < y < z\)
• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined
Quantity A |
Quantity B |
\(\frac{(x+y+z)}{3}\) |
\(z\) |
• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: GRE Math Challenge #120
[#permalink]
17 May 2015, 09:26
17 May 2015, 09:26
2
sandy wrote:
\(x < y < z\)
Quantity A: (x+y+z)/3
Quantity B: z
Quantity A: (x+y+z)/3
Quantity B: z
Nice question!
IMPORTANT: Notice that (x+y+z)/3 is equal to the AVERAGE of x, y and z.
Since x < y < z, the average of these 3 values must be greater than x and less than z.
Since the average of the 3 values must be less than z, we can conclude that (x+y+z)/3 is definitely less than z
Answer:
Show: ::
B
Cheers,
Brent
Re: GRE Math Challenge #120-x < y < z
[#permalink]
11 Aug 2018, 11:51
11 Aug 2018, 11:51
1
sandy wrote:
\(x < y < z\)
Quantity A: (x+y+z)/3
Quantity B: z
• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined
Quantity A: (x+y+z)/3
Quantity B: z
• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined
x<y<z. we don't know whether they are consecutive or not. Even if they are consecutive average will always be lower than the highest numbers. So, z is greater.
The best answer is B.
