jamifahad wrote:
Solve this under 2 mins.
Which of the following represents the greatest value?
A) \(\sqrt{2} / \sqrt{3} + \sqrt{3}/\sqrt{4}+\sqrt{4}/\sqrt{5}+\sqrt{5}/\sqrt{6}\)
B) \(2/3 + 3/4 + 4/5 + 5/6\)
C) \(2^2/3^2 + 3^2/4^2 + 4^2/5^2 + 5^2/6^2\)
D) \(1-1/3 + 4/5 - 3/4\)
E) \(1-3/4 + 4/5 + 1/3\)
I think for most people the only confusing options will be A and B.
You can compare fractions very easily by making either their denominator or numerator same.
Say I want to compare \(\sqrt{2} / \sqrt{3}\) with 2/3.
I just multiply and divide \(\sqrt{2} / \sqrt{3}\) by \(\sqrt{2}\) to get 2/\(\sqrt{6}\).
Since \(\sqrt{6}\) is less than 3, 2/\(\sqrt{6}\) (i.e. \(\sqrt{2} / \sqrt{3}\)) is greater than 2/3.
Similarly, all terms of option A will be greater than all corresponding terms of option B.
Perfect example of how complicated looking questions are also based on very fundamental concepts.
_________________
Karishma
Veritas Prep GMAT Instructor
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