BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Coordinates

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 458
Joined: Sun Aug 31, 2008 10:44 am
Thanked: 3 times
Followed by:1 members

Coordinates

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
Attachments
figure.doc
(23.5 KiB) Downloaded 468 times
Top
Source: — Problem Solving |
Legendary Member
Posts: 683
Joined: Tue Jul 22, 2008 1:58 pm
Location: Dubai
Thanked: 73 times
Followed by:2 members

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
Top
Master | Next Rank: 500 Posts
Posts: 458
Joined: Sun Aug 31, 2008 10:44 am
Thanked: 3 times
Followed by:1 members

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....
Top
Legendary Member
Posts: 891
Joined: Sat Aug 16, 2008 4:21 am
Thanked: 27 times
Followed by:1 members
GMAT Score:660(

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
Top
Legendary Member
Posts: 683
Joined: Tue Jul 22, 2008 1:58 pm
Location: Dubai
Thanked: 73 times
Followed by:2 members

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. :)
Top
Post new topic Post Reply
• Page 1 of 1