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What is the value of (x, y) satisfying

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by Max@Math Revolution » Wed Apr 08, 2020 5:40 pm

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[GMAT math practice question]

What is the value of (x, y) satisfying \(\sqrt{x^2+4y}\) with the integer portion equaling 5.

1) x and y are the numbers of eyes on two dice.
2) x and y are positive integers.
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Source: — Data Sufficiency |
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Re: What is the value of (x, y) satisfying

by Max@Math Revolution » Fri Apr 10, 2020 4:04 pm
=>

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 the integer part of \(\sqrt{x^2+4y}\), we have
5 ≤ \(\sqrt{x^2+4y}\) < 6
=> 25 ≤ x^2 + 4y < 36
X = 1, y = 6 and x = 2, y = 6 are possible solutions.

Since both conditions together do not yield a unique solution, they are not sufficient.

Therefore, E is the answer.
Answer: E
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