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19 Feb 2014, 01:21
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B
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Difficulty:
5%
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Question Stats:
93% (00:50) correct
7%
(02:07)
wrong
based on 1451
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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
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19 Feb 2014, 01:21
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SOLUTION
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
The average of x, y and z equals to (x+y+z)/3 as x+y=8z then (x+y+)z/3=(8z+z)/3=9z/3=3z.
Answer: B.
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
The average of x, y and z equals to (x+y+z)/3 as x+y=8z then (x+y+)z/3=(8z+z)/3=9z/3=3z.
Answer: B.
Updated on: 19 Jan 2020, 13:48
Originally posted by BrentGMATPrepNow on 11 Dec 2017, 12:10.
Last edited by BrentGMATPrepNow on 19 Jan 2020, 13:48, edited 1 time in total.
Last edited by BrentGMATPrepNow on 19 Jan 2020, 13:48, edited 1 time in total.
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Lolaergasheva
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
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