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15 Feb 2018, 08:55
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A
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:
93% (00:42) correct
7%
(01:23)
wrong
based on 107
sessions
History
Date
Time
Result
Not Attempted Yet
15 Feb 2018, 22:37
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Bunuel
What percentage is 'p' of 'q': this will be found by applying the formula: p/q * 100
So all we need is the ratio p/q
Statement 1
q = 2p or p/q = 1/2. We got the ratio, we will get the answer. Sufficient.
Statement 2
p + q = 36. This does not give us any single ratio, as there are multiple possibilities.
Eg., p=18, q=18 here the ratio p/q = 1/1
or p=12, q=24 here the ratio p/q = 1/2
So this statement is not sufficient.
Hence A answer
18 Feb 2018, 22:50
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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.
The first step of the VA (Variable Approach) method is to modify the original condition and the question, and then recheck the question.
We can modify the question as follows.
The questions asks for the value of \((p/q)*100\).
When a question asks for a ratio, if one condition is about a ratio and the other condition is just a number, then the condition about a ratio would be sufficient.
Thus A could be the answer most likely for this quesiton.
Condition 1:
\(q = 2p ⇔ p/q = 1/2\)
Thus the condition 1) is sufficient.
Condition 2:
\(p = 12, q = 24 ⇒ p/q = 1/2\)
\(p = 6, q = 30 ⇒ p/q = 1/5\)
Since we don't have a unique solution from the condition 2), it is not sufficient.
Therefore, A is the answer.
