If a > 0 and b > 0, is a/b > b/a ?
(1) a = b - 2
(2) a/(4b) =1/5
The OA is the option D.
How can I show that the statement (1) is sufficient? Could someone help me, please? Thanks in advanced.
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If a > 0 and b > 0, is a/b > b/a ?
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Is a/b > b/a?M7MBA wrote:If a > 0 and b > 0, is a/b > b/a ?
(1) a = b - 2
(2) a/(4b) =1/5
The OA is the option D.
How can I show that the statement (1) is sufficient?
Since a and b are both positive, we can CROSS-MULTIPLY and take the square root of both sides:
a² > b².
a > b.
Question stem, rephrased:
Is a > b?
Statement 1: a = b-2
Since a is 2 less than b, the answer to the question stem is NO.
SUFFICIENT.
Statement 2: a/(4b) = 1/5
a = (4/5)b.
Since a is 4/5 of b -- and a and b are both positive -- the answer to the question stem is NO.
SUFFICIENT.
The correct answer is D.
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I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
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