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11 Jun 2018, 06:42
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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:
45%
(medium)
Question Stats:
54% (01:05) correct
46%
(01:16)
wrong
based on 39
sessions
History
Date
Time
Result
Not Attempted Yet
Updated on: 05 Aug 2018, 22:53
Originally posted by MathRevolution on 11 Jun 2018, 06:42.
Last edited by MathRevolution on 05 Aug 2018, 22:53, edited 1 time in total.
Last edited by MathRevolution on 05 Aug 2018, 22:53, edited 1 time in total.
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Official Solution:
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 (x and y) and 0 equations, C is most likely to be the answer. So, we should consider conditions 1) & 2) together first.
Conditions 1) & 2):
If \(x = 4\) and \(y = -1\), then \(x^y = 1/4 < 1\), and the answer is 'yes'.
If \(x = 4\) and \(y = ½\), then \(x^y = 2 > 1\), and the answer is 'no'.
Since we don't have a unique answer, both conditions are not sufficient when taken together by CMT (Common Mistake Type) 2.
Therefore, the answer is E.
Answer: 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.
Answer: E
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 (x and y) and 0 equations, C is most likely to be the answer. So, we should consider conditions 1) & 2) together first.
Conditions 1) & 2):
If \(x = 4\) and \(y = -1\), then \(x^y = 1/4 < 1\), and the answer is 'yes'.
If \(x = 4\) and \(y = ½\), then \(x^y = 2 > 1\), and the answer is 'no'.
Since we don't have a unique answer, both conditions are not sufficient when taken together by CMT (Common Mistake Type) 2.
Therefore, the answer is E.
Answer: 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.
Answer: E
