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The figure shows parallelogram ABCD and

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by Max@Math Revolution » Mon Feb 10, 2020 11:52 pm
[GMAT math practice question]

The figure shows parallelogram ABCD and point E on line AD. What is the ratio of \(\triangle ABE\ :\ \triangle DCE\) ?
2.11DS.png
1) The area of ABCD is 50.
2) AE : ED = 3 : 2
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Source: — Data Sufficiency |
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Re: The figure shows parallelogram ABCD and

by Max@Math Revolution » Thu Feb 13, 2020 12:24 am
=>

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.
Visit https://www.mathrevolution.com/gmat/lesson for details.

The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question. We should simplify conditions if necessary.

Since triangles ABE and DCE have the same height, we have △ABE : △DCE = AE : ED.
Thus, condition 2) is sufficient.

Condition 1)
Since we don’t know AE : ED, condition 1) is not sufficient.

Therefore, B is the answer.
Answer: B
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