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Comment on Fraction Within a Fraction
Instead, could you begin by
Thats how I came to my solution.
That's a perfectly valid
That's a perfectly valid solution. In fact, it's exactly the same as the first solution in the video :-)
Hi, is it possible to assume
Your strategy is based on a
Your strategy is based on a strategy use for equations.
That is, you are starting with the assumption that the two quantities are equal, but the goal of QC question is to determine the relationship between the quantities.
Cheers,
Brent
=> 5/5+5/k => 5/5K+5/k=> 5k
=> plug k=1, 2, and 10,100... in k/k+1 will be less than 1.
=> B is solution
Is this correct approach Brent?
The only problem with that
The only problem with that approach is that, even though you tested three values of k, we still can't be 100% certain that Quantity B will ALWAYS be greater.
For more on this, start watching the following video at 2:48 - https://www.greenlighttestprep.com/module/gre-quantitative-comparison/vi...
Hello Brent... we can just go
That approach can get you
That approach can get you into trouble. If you use the Plugging In Numbers approach, you can't just stop at plugging in one value, since there might be other values of w such that the two quantities are equal or Quantity B is greater (for more on this, watch the part that starts at 2:50 of this video: https://www.greenlighttestprep.com/module/gre-quantitative-comparison/vi...
For example, let's say that we're told that w > 0 and we have the following:
QUANTITY A: w
QUANTITY B: w^2
Using your approach, we might plug in w = 2 (since we're told that w > 0, and 2 > 0). When we do this, we get:
QUANTITY A: 2
QUANTITY B: 4
Here, Quantity B is greater. Does this mean the correct answer is B?
No.
If we plug in w = 1, we get:
QUANTITY A: 1
QUANTITY B: 1
Here, the two quantities are equal.
If we plug in w = 1/2, we get:
QUANTITY A: 1/2
QUANTITY B: 1/4
Here, Quantity A is greater.
So, be careful; plugging in ONE value will not always yield the correct answer.