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.
If x + y= 8z, then which of the following represents the average (arit
[#permalink]
09 Aug 2021, 15:31
09 Aug 2021, 15:31
Expert Reply
00:00
Question Stats:
100% (00:33) correct
0% (00:00) wrong based on 10 sessions
Hide Show timer Statistics
If x + y= 8z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z ?
(A) 2z + 1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2
(A) 2z + 1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If x + y= 8z, then which of the following represents the average (arit
[#permalink]
09 Aug 2021, 15:51
09 Aug 2021, 15:51
Carcass wrote:
If x + y= 8z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z ?
(A) 2z + 1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2
(A) 2z + 1
(B) 3z
(C) 5z
(D) z/3
(E) 3z/2
Here's a solution that involves the INPUT-OUTPUT approach.
Given: x + y = 8z
So, one possible solution to this equation is x = 7, y = 9 and z = 2
Which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z?
Average = (x + y + z)/2
= (7 + 9 + 2)/2
= 18/3
= 6
So, when we INPUT x = 2, the answer to the question is 6
So, we're looking for an answer choice that OUTPUTS a 6 when we INPUT x = 2
Let's check the answer choices...
(A) 2(2) + 1 = 5. No good. We want 6. ELIMINATE
(B) 3(2) = 6. KEEP
(C) 5(2) = 10. No good. We want 6. ELIMINATE
(D) 2/3 = 2/3. No good. We want 6. ELIMINATE
(E) 3(2)/2 = 3. No good. We want 6. ELIMINATE
Answer: B
RELATED VIDEO
Re: If x + y= 8z, then which of the following represents the average (arit
[#permalink]
09 Aug 2021, 22:18
09 Aug 2021, 22:18
1
the average of x, y, and z = (x+y+z)/3
and it is given x + y= 8z
plug on 8z ==> (8z+z)/3==> 9z/3= 3z
It is B
Best of luck
and it is given x + y= 8z
plug on 8z ==> (8z+z)/3==> 9z/3= 3z
It is B
Best of luck
