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Is 16 contained in the set S?

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by Max@Math Revolution » Mon Aug 22, 2016 7:00 pm
Is 16 contained in the set S?
1) All the elements in the set S are the multiples of 4
2) All the elements in the set S are the square of integers

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Source: — Data Sufficiency |
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by Gaurav Mittal » Tue Aug 23, 2016 1:02 am
Not necessarily
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by Max@Math Revolution » Wed Aug 24, 2016 6:10 pm
In the original condition, we have to find out all elements of the set S. Since there are many variables, there is a high chance that E is the correct answer. Using 1) & 2), we get S={16}. The answer is yes. When S={4}, the answer is no and the condition is not sufficient. Hence, the correct answer is E.

- 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.
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