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28 Mar 2023, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
68% (01:44) correct
32%
(01:50)
wrong
based on 250
sessions
History
Date
Time
Result
Not Attempted Yet
What is the ratio of x:y:z given xyz not equal to 0?
(1) x + y = 2z
(2) 2x + 3y = z
(1) x + y = 2z
(2) 2x + 3y = z
28 Mar 2023, 03:59
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Bunuel
Given: xyz ≠ 0
Question: x:y:z = ?
Statement 1: x + y = 2z
Case 1: If x = 1 and y = 1 then z = 1 hence x:y:z = 1:1:1
Case 2: If x = 1 and y = 3 then z = 2 hence x:y:z = 1:3:2
Inconsistent answers hence
NOT SUFFICIENT (if you wish to learn the strategy to approach DS questions then you may watch 9 videos on my youtube channel in DS playlist)
Statement 2: 2x + 3y = z
Case 1: If x = 1 and y = 1 then z = 5 hence x:y:z = 1:1:5
Case 2: If x = 1 and y = 2 then z = 8 hence x:y:z = 1:2:8
Inconsistent answers hence
NOT SUFFICIENT
COmbining the statements
x + y = 2z
2x + 3y = z
i.e. x+y = 2(2x+3y)
i.e .3x+5y = 0
i.e. x:y = -5:3
If x = -5, y = 3 then z = -1 hence x:y:z = -5:3:-1
If x = 5, y = -3 then z = 1 hence x:y:z = 5:-3:1
SUFFICIENT
Answer: Option C
GmatStuck
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31 May 2023, 20:02
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GMATinsight
The two ratios -5:3:-1 and 5:-3:1 wouldn't it imply that this two are two different sets of ratio meaning we still don't have an unique value to answer the question ?
