Carcass wrote:
17% of p is equal to 18% of q, where p and q are positive.
Quantity A |
Quantity B |
p |
q |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Here's a slightly outside-the-box approach...
GIVEN: 17% of p is equal to 18% of q
We can write: 17/100 of p = 18/100 of q
In other words: 0.17p = 0.18q
Multiply both sides by 100 to get:
17p = 18qGiven:
Quantity A: p
Quantity B: q
Multiply both quantities by 17 to get:
Quantity A: 17p
Quantity B: 17q
Now replace
17p with
18q to get:
Quantity A:
18qQuantity B: 17q
You may already see that the correct answer is A. However, we can be 100% certain if we subtract 17q from both quantities to get:
Quantity A: q
Quantity B: 0
Since we're told q is POSITIVE, we can see that Quantity A is greater.
Answer: A
Cheers,
Brent
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Brent Hanneson - founder of Greenlight Test PrepSign up for our GRE Question of the Day emails