BrentGMATPrepNow wrote:
If x and y are positive integers, is x% of y > y?
(1) x > 99
(2) x < 101
It has been 9 hours and no responses, so......
Target question: Is x% of y > y? This is a good candidate for
rephrasing the target question.
Take:
Is x% of y > y? Rewrite as:
Is (\(\frac{x}{100})(y) > y\) ? Since we're told y is POSITIVE, we can safely divide both sides of the inequality by y to get:
Is \(\frac{x}{100} > 1\) ? Multiply both sides of the inequality by 100 to get:
Is \(x > 100\) ? REPHRASED target question: Is x > 100? Aside: the video below has tips on rephrasing the target question Statement 1: x > 99 There are several values of x that satisfy statement 1. Here are two:
Case a: If x = 100, the answer to the REPHRASED target question is
NO, x is not greater than 100Case b: If x = 101, the answer to the REPHRASED target question is
YES, x is greater than 100Since we can’t answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: x < 101This means x could equal 100 or 99 or 98 or 97 or ....
For every possible value of x, the answer to the REPHRASED target question is
always the same:
NO, x is not greater than 100Since we can answer the
REPHRASED target question with certainty, statement 2 is SUFFICIENT
Answer: B
VIDEO ON REPHRASING THE TARGET QUESTION: