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Which is greater -m or n
[#permalink]
08 Dec 2022, 03:12
08 Dec 2022, 03:12
Expert Reply
00:00
Question Stats:
18% (01:03) correct
81% (00:56) wrong based on 11 sessions
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Attachment:
GRE Which is greater -m or n.jpg [ 16.22 KiB | Viewed 335 times ]
Quantity A |
Quantity B |
-m |
n |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
_________________
Re: Which is greater -m or n
[#permalink]
11 Dec 2022, 04:00
11 Dec 2022, 04:00
1
Expert Reply
OE
Just because you don’t know the values of –m and n doesn’t mean you can’t determine which is greater. Using point A and the origin, you can find the slope of segment AB: rise/run=- 2/3. Now plug in coordinates for point B that will give you the same slope; the easiest way to pick them would be to simply rise −2 and run 3, bringing you to the point (m, n) = (3, −2). So –m = −3, and n = −2, and Quantity B is greater.
_________________
Just because you don’t know the values of –m and n doesn’t mean you can’t determine which is greater. Using point A and the origin, you can find the slope of segment AB: rise/run=- 2/3. Now plug in coordinates for point B that will give you the same slope; the easiest way to pick them would be to simply rise −2 and run 3, bringing you to the point (m, n) = (3, −2). So –m = −3, and n = −2, and Quantity B is greater.
_________________
gmatclubot
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