Data Sufficiency

In the xy plane, region R consist of all the points on (x,y) such that 2x+3y=6,is the point(r,s) in the region R.


1. 3r+2s=6
2. r=3, s=2

Can any1 also tell me tell me how to paste the image .........

Ans IMO is B

We need to find
is 2r+3s = 6 ??


A
you are not sure whether 2r+3s will be 6 or not

B
you can easily find that 2r+3s is not zero



Image pasting:
copy paste the image in work doc and upload the doc
or
if some types of images are allowed to upload, pl convert the file type to desired one and upload.

can u bit elaborate .........i didnt get at all the soultion ...

2r+3s is not there in A its 3r+2s..and OA is not B.=

vivek.kapoor83 wrote:can u bit elaborate .........i didnt get at all the soultion ...

I am confused why are writing region?
the equation corresponds to a line

I am assuming that you want me to find whether a point is on the line or not.......
(r,s) will be on line with equn 2x+3y=6 if and only if 2r+3s=6

so we need to find 2x+3y=6 or not


A
3r+2s=6
we can not find 2r+3s=6 or not
so insufficient

B:
r=3, s=2
so here
2r+3s = 2*3 + 3*2 = 12
as 12 != 6
so the point is not on the line
but this equn is sufficient to answer

so ans is B


if the A is
2x+3y=6
thn answer would become D

vivek.kapoor83 wrote:2r+3s is not there in A its 3r+2s..and OA is not B.=

whats the OA?

OA is E.

is thr any image also with the question?

Nope no image...it is as it is

I would wait for others to comment on.
May be the question is asking for points enclosed inside this line and x, yaxis

stop@800 wrote:

vivek.kapoor83 wrote:can u bit elaborate .........i didnt get at all the soultion ...

I am confused why are writing region?
the equation corresponds to a line

I am assuming that you want me to find whether a point is on the line or not.......
(r,s) will be on line with equn 2x+3y=6 if and only if 2r+3s=6

so we need to find 2x+3y=6 or not


A
3r+2s=6
we can not find 2r+3s=6 or not
so insufficient

B:
r=3, s=2
so here
2r+3s = 2*3 + 3*2 = 12
as 12 != 6
so the point is not on the line
but this equn is sufficient to answer

so ans is B


if the A is
2x+3y=6
thn answer would become D

I've got the same answer with same logic

the st line cuts x and y axis @ (3,0) and (0,2)

so r = 3 and s=2 will fall outside straight line.

hence answer is B.
how the oa is E?