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Coordinates

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by gmat009 » Mon Nov 24, 2008 2:24 pm
In the figure attached, how many of the points on line segment PQ have coordinates that are both integers?
(A) 5
(B) 8
(C) 10
(D) 11
(E) 20

Plz. explain
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by mals24 » Mon Nov 24, 2008 2:34 pm
Find the equation of PQ

y = mx+c

c = 30
m = -3/5 (rise/run, and since its a downward sloping line slope is negative)

y = -(3/5)x + 30

For both the coordinates to be integers, x has to be a multiple of 5.

So the possible values of x = 0,5,10,15,20,25,30,35,40,45,50 = 11 values

Answer is D
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by gmat009 » Mon Nov 24, 2008 4:30 pm
mals24 wrote:Find the equation of PQ

y = mx+c

c = 30
m = -3/5 (rise/run, and since its a downward sloping line slope is negative)

y = -(3/5)x + 30

For both the coordinates to be integers, x has to be a multiple of 5.

So the possible values of x = 0,5,10,15,20,25,30,35,40,45,50 = 11 values

Answer is D
Thanks....
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by 4meonly » Tue Nov 25, 2008 5:47 am
mals24 wrote:Find the equation of PQ

y = mx+c

c = 30
m = -3/5 (rise/run, and since its a downward sloping line slope is negative)

y = -(3/5)x + 30

For both the coordinates to be integers, x has to be a multiple of 5.

So the possible values of x = 0,5,10,15,20,25,30,35,40,45,50 = 11 values

Answer is D
WOW! I am as good as Mals24 is :-)
https://www.beatthegmat.com/gmac-paper-b ... 23709.html
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by mals24 » Tue Nov 25, 2008 6:01 am
@4meonly

After all great minds think alike.
8)

Good now that we are sailing in the same boat, lets increase are target to the likes of cramya, parallel chase and logitech. :)
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