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15 Jan 2018, 08:38
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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:
25%
(medium)
Question Stats:
73% (01:03) correct
27%
(00:47)
wrong
based on 103
sessions
History
Date
Time
Result
Not Attempted Yet
15 Jan 2018, 08:50
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Bunuel
As our expressions are small, we'll try simple numbers to show us the answer.
This is an Alternative approach.
(1) x=1,y=6 solve the equation as do x=2,y=3.
Insufficient!
(2) x=1,y=4 solve the equation as do x=2,y=3.
Insufficient!
Combined: x=2,y=3 solve the equation as do x=3,y=2.
Still insufficient!
(E) is our answer.
15 Jan 2018, 12:29
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Bunuel
Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.
Since we have 2 variables and 0 equations, C is most likely to be the answer. So, we should consider 1) & 2) first, since we can save time by first checking whether conditions 1) and 2) are sufficient, when taken together.
Conditions 1) & 2)
We have two solutions \(x = 2, y = 3\) or \(x = 3, y = 2\).
Since we don't have a unique solution, both conditions together are not sufficient.
Normally, in problems which require 2 equations, such as those in which the original conditions include 2 variables, or 3 variables and 1 equation, or 4 variables and 2 equations, each of conditions 1) and 2) provide an additional equation. In these problems, the two key possibilities are that C is the answer (with probability 70%), and E is the answer (with probability 25%). Thus, there is only a 5% chance that A, B or D is the answer. This occurs in common mistake types 3 and 4. Since C (both conditions together are sufficient) is the most likely answer, we save time by first checking whether conditions 1) and 2) are sufficient, when taken together. Obviously, there may be cases in which the answer is A, B, D or E, but if conditions 1) and 2) are NOT sufficient when taken together, the answer must be E.
