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In the coordinate system above which is greater c or d
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08 Sep 2025, 00:25
08 Sep 2025, 00:25
Expert Reply
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Question Stats:
77% (00:57) correct
22% (00:57) wrong based on 9 sessions
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Attachment:
GRE In the coordinate system above which is greater c or d.png [ 90.1 KiB | Viewed 731 times ]
Quantity A |
Quantity B |
c |
d |
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Re: In the coordinate system above which is greater c or d
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07 Oct 2025, 12:36
07 Oct 2025, 12:36
Expert Reply
In the coordinate system image:
- The point on the line labeled $(c, d)$ is in the first quadrant where both coordinates are positive.
- The line connects $(-5,-6)$ to $(c, d)$ through the origin $(0,0)$.
Because the origin is on the line segment between these two points, the coordinates $c$ and $d$ have the same ratio but positive values relative to the negative values of $(-5,-6)$.
Since $c$ corresponds to the x-coordinate and $d$ to the y-coordinate:
- Given the point $(-5,-6)$, the magnitude of $c$ and $d$ should be proportional to 5 and 6, respectively.
- Since 6 is greater than $5, d$ should be greater than $c$.
Therefore, Quantity $\(\mathrm{B}(d)\)$ is greater than Quantity $\(\mathrm{A}(c)\)$.
- The point on the line labeled $(c, d)$ is in the first quadrant where both coordinates are positive.
- The line connects $(-5,-6)$ to $(c, d)$ through the origin $(0,0)$.
Because the origin is on the line segment between these two points, the coordinates $c$ and $d$ have the same ratio but positive values relative to the negative values of $(-5,-6)$.
Since $c$ corresponds to the x-coordinate and $d$ to the y-coordinate:
- Given the point $(-5,-6)$, the magnitude of $c$ and $d$ should be proportional to 5 and 6, respectively.
- Since 6 is greater than $5, d$ should be greater than $c$.
Therefore, Quantity $\(\mathrm{B}(d)\)$ is greater than Quantity $\(\mathrm{A}(c)\)$.
gmatclubot
Re: In the coordinate system above which is greater c or d [#permalink]
07 Oct 2025, 12:36
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