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14 Feb 2016, 03:03
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
77% (00:48) correct
23%
(01:02)
wrong
based on 88
sessions
History
Date
Time
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Not Attempted Yet
If x + 3y − 3 = 0, what is the value of x?
(1) 3x + 9y = 9
(2) 2x + 6y = 6
(1) 3x + 9y = 9
(2) 2x + 6y = 6
Mo2men
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15 Feb 2016, 00:12
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Bunuel
given: x + 3y= 3, so we need other equation to find x
1) 3x + 9y = 9........x+3y=3..... same as given.....Ins
2) 2x + 6y = 6 ........x+3y=3......same as given.....Ins
Combine 1 & 2
No new equation
Answer: E
16 Feb 2016, 02:05
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Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
If x + 3y − 3 = 0, what is the value of x?
(1) 3x + 9y = 9
(2) 2x + 6y = 6
In the original condition, there are 2 variables(x,y) and 1 equation(x+3y-3=0), which should match with the number of equations. So you need 1 more equation. For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer.
For 1) x+3y=3, this equation is repeated, which is already in the original condition, not sufficient.
For 2) x+3y=3, this equation is repeated, which is already in the original condition, not sufficient.
When 1) & 2), they become x+3y=3, which is already in the original condition, not sufficient.
Therefore, the answer is E. In general, when 1)=2), which is like 95% to make D the answer and 5% to make E the answer.
For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
If x + 3y − 3 = 0, what is the value of x?
(1) 3x + 9y = 9
(2) 2x + 6y = 6
In the original condition, there are 2 variables(x,y) and 1 equation(x+3y-3=0), which should match with the number of equations. So you need 1 more equation. For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer.
For 1) x+3y=3, this equation is repeated, which is already in the original condition, not sufficient.
For 2) x+3y=3, this equation is repeated, which is already in the original condition, not sufficient.
When 1) & 2), they become x+3y=3, which is already in the original condition, not sufficient.
Therefore, the answer is E. In general, when 1)=2), which is like 95% to make D the answer and 5% to make E the answer.
For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
