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this is a data sufficiency problem: in the xy-plane, does

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this is a data sufficiency problem: in the xy-plane, does [#permalink]

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New post 02 Jul 2009, 14:53
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this is a data sufficiency problem:

in the xy-plane, does the line with equation: y=3x+2, contain the point (r,s)

1) (3r+2-s)(4r+9-s)=0
2) (4r-6-s)(3r+2-s)=0

A) 1 is suff
B) 2 is suff
C) both 1 and 2 needed
D) each statement
E) not enough info

thanks guys!!

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Re: equality problem [#permalink]

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New post 02 Jul 2009, 15:25
c

For y=3x+2...put value of (r,s) in the equation so we get r=3s+2
Lets look at 1 (3r+2-s)(4r+9-s)=0
hence 3r+2-s = 0 or 4r+9-s =0
which gives 3r+2=0 or 4r+9=s
insufficent
look at 2 - (4r-6-s)(3r+2-s)=0
i.e 4r-6-s=0 or 3r+2-s=0
hence 4r-6=s or 3r+2=s
insuff

taking both one and 2 we get 3r+2=s hence ans is C

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Re: equality problem [#permalink]

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New post 02 Jul 2009, 16:50
I dont quite understand the solution. Could you explain further. I am missing something.

Warmest regards,

Tariq

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Re: equality problem [#permalink]

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New post 03 Jul 2009, 22:12
D

Lets assume that point r,s lies on the line. In that case
s=3r + 2
Basically this question asks us to verify if s = 3r + 2 or not ?

Stmt 1.
(3r+2-s)(4r+9-s)=0
Since we assumed that s=3r+2 so the above eq, becomes
(s-s)(4r+9-s) = 0
0 = 0
Our assumption satisfied this conditon. Means our assumtion is correct.
Suff. (yes point r,s lies on the line)

Stmt. 2
(4r-6-s)(3r+2-s)=0
Since we assumed that s=3r+2 so the above eq, becomes
(4r-6-s)(s-s)=0
0 = 0
Our assumption satisfied this conditon. Means our assumtion is correct.
Suff. (yes point r,s lies on the line)

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Re: equality problem [#permalink]

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New post 04 Jul 2009, 10:54
mdfrahim

Well the correct answer is C) both statements are required. I think you have it as D)

Thanks,

Tariq

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Re: equality problem [#permalink]

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New post 04 Jul 2009, 11:42
Yes I got it as D.
can someone point a mistake in my solution ??
I still feel it is D.

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Re: equality problem [#permalink]

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New post 05 Jul 2009, 08:29
mdfrahim wrote:
Yes I got it as D.
can someone point a mistake in my solution ??
I still feel it is D.



Lets assume that 1 and 2 can be 0 because of uncommon factor, again you are proving your assumption correct.

In 1 and 2 we need to look for common factor.

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Re: equality problem [#permalink]

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New post 05 Jul 2009, 10:18
Thx hemantsood. I go the point now.

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Re: equality problem [#permalink]

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New post 06 Jul 2009, 04:53
what is the OA (C) or (D)?
thx

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Re: equality problem [#permalink]

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New post 06 Jul 2009, 14:37
I started with D the n chnaged to C and now am back to D.

Hemantsood ..... You mentioned there can be some external factors which might make the statements true without my assumption being true. I looked at the statements closely and found out that there can not be any such external factors. If you can identify some , please quote...

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Re: equality problem   [#permalink] 06 Jul 2009, 14:37
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