Hey all,
I just went over a math question in the Princeton Review GRE 2014, and I am not sure if the book made a mistake or not in coming to its answer
The question:
a/xs = 632 and a/ys = 158
Quantity A = x
Quantity B = y
Answers: Is Quantity A greater? Quantity B greater? The two quantities equal? The relationship cannot be determined?
So the book says that the correct answer is that Quantity B is greater. I totally understand why that can be true: you can plug in a = 632 and solve for x and y, and you see that y is 4 times greater than x (x = 1s, y = 4s)
However, couldn't you also plug in a = -632. If "a" is negative, then x and y could be negative values; dividing the negative a by the negative x or y gives you the positive answers. If this was the case, though, then x would be greater than y, since a greater negative number is actually less. If you solve the same way above but plugging in a = -632, then x = -1s and y = -4s ... here, Quantity A is greater, so the answer should be that the relationship cannot be determined since two different answer choices were made true
Am I over-thinking this or do I have a point? Thank you so much!!!