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13 Feb 2018, 23:02
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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:
5%
(low)
Question Stats:
92% (00:54) correct
8%
(01:51)
wrong
based on 63
sessions
History
Date
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Not Attempted Yet
13 Feb 2018, 23:52
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Bunuel
We'll look for statements that give us information about the relation between A and B.
This is a Logical approach.
(1) talks only about A.
Insufficient.
(2) is always true for any non-zero number so it only tells us that A + B is not zero.
Insufficient.
Combined:
This adds nothing new as B can be any number different from -A.
(E) is our answer.
16 Feb 2018, 13:11
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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 (A and B) and 0 equations, C is most likely to be the answer. So, we should consider conditions 1) & 2) together first.
Conditions 1) & 2):
\((A+B)^2 > 0\)
\(⇔ A+B ≠ 0\)
\(A = 2, B = 1\) : The answer is "Yes".
\(A = 1, B = 2\) : The answer is "No".
Since we don't have a unique answer, both conditions together are not sufficient.
Therefore the answer is E.
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.
