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Answer is D. Both statements are sufficient to answer the DS with a thumping yes
Statement I says that (3r+2-s)(4r+9-s)=0. From this you can determine the values of r & s. r=-7; s=-19. Substituting these values in the line equation y=3x+2 satisfies it. Hence it is sufficient.
Statement II is similar to statement one & is sufficient to answer the question.
Answer is D. Both statements are sufficient to answer the DS with a thumping yes
Statement I says that (3r+2-s)(4r+9-s)=0. From this you can determine the values of r & s. r=-7; s=-19. Substituting these values in the line equation y=3x+2 satisfies it. Hence it is sufficient.
Statement II is similar to statement one & is sufficient to answer the question.
Hence answer is D. Correct me if I am wrong.
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Ooppss.....I got into the GMAC trap. The correct answer should be C as KillerSquirrel rightly pointed in the links he provided for reference. Thanks for the question. I need to be more wary.
If the line y=3x+2 contains (r,s) then r, s must satisfy the equation of the line (in other words we should be able to substitute r for x and s for y).
If we assume that r,s lie on the line then s = 3r + 2 or 3r + 2 - s = 0. So the question is basically asking whether 3r + 2 - s = 0.
Stat 1: 3r+2-s could be 0 or 4r+9-s could be 0. Insuff.
Stat 2: 4r-6-s could be 0 or 3r+2-s could be 0. Insuff.
Together: If 3r+2-s is not equal to 0 in both statements then, 4r+9-s = 0 in the stat 1 and 4r-6-s = 0 in stat 2. Hence:
4r - s = 9 from stat 1 and 4r - s = 6 from stat 2. But this is not possible (since 4r-s cannot assume two different values). Thus, 4r+9-s cannot be 0 and therefore, 3r+2-s must be 0. Suff.
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