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x, y, and z are consecutive even numbers. What is the average of x, y, and z?
(1) z = 12
(2) x = 8
_________________
(1) z = 12
(2) x = 8
_________________
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IMO Option D.
As x,y,z are consecutive even numbers, average will be y. Also, x+2 = y = z-2.
Stmt 1: z = 12 Hence y = 10 Suff. Stmt 2: x = 8, Hence y = 10, Suff. Hence D
As x,y,z are consecutive even numbers, average will be y. Also, x+2 = y = z-2.
Stmt 1: z = 12 Hence y = 10 Suff. Stmt 2: x = 8, Hence y = 10, Suff. Hence D
Hi Bunuel
Is the OA: C because we're not told x, y and z are in ascending or descending order? Does GMAT really specify the order for these questions?
Is the OA: C because we're not told x, y and z are in ascending or descending order? Does GMAT really specify the order for these questions?
Bunuel
Average of 3 consecutive even numbers is always the middle number or median value.
So, y is the mean of x,y, and z.
St1:-z=12
y=10 when x<y<z
y=14 when x>y>z
Hence we have two values of average. So, insufficient.
St2:-x = 8
y=10 when x<y<z
y=6 when x>y>z
Hence we have two values of average. So, insufficient.
(1)+(2), y=10,(since x=8<z=12)
Hence,sufficient.
Ans, (C)
Posts: 1,142
rajudantuluri
Hello
YES, I think the OA is C because of the reason mentioned by you. We are able to get a unique answer only after combining both the statements.
ArjunJag1328
Joined: 24 Dec 2017
Last visit: 12 Jan 2025
Posts: 135
Location: India
Concentration: Strategy, Real Estate
Schools: Johnson '21
Schools: Johnson '21
Posts: 135
X,Y,Z - Consecutive even numbers. Average of X,Y,Z?
I) z = 12: Insufficient as we are not about the order of numbers.
Case 1:
z=12
x=8
y=10
Case 2:
z=12
y=14
z=16
AD/BCE
II) x=8 Insufficient. Same as A
B
I + II: x=8,y=10,z=12. we are able to get an answer by combining the options. Hence C is the answer.
I) z = 12: Insufficient as we are not about the order of numbers.
Case 1:
z=12
x=8
y=10
Case 2:
z=12
y=14
z=16
II) x=8 Insufficient. Same as A
I + II: x=8,y=10,z=12. we are able to get an answer by combining the options. Hence C is the answer.
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