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In the xy-plane, region R consists of all the points (x, y) [#permalink]

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07 Dec 2004, 08:04

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In the xy-plane, region R consists of all the points (x, y) such that 2x + 3y = 6. Is the point (r, s) in region R ?
(1) 3r + 2s = 6
(2) r = 3 and s = 2

s[1]: 3r+2s = 6
There are several numbers (r,s) that will fit the equation. So, without knowing the exact value of (r,s) we cannot say if it fits the equation in the stem.
Insufficient

S[2]: r=3, s=2
=> 2r+3s = 6+6 =12, so they do not fit the region R.
Sufficient

In the xy-plane, region R consists of all the points (x, y) such that 2x + 3y = 6. Is the point (r, s) in region R ? (1) 3r + 2s = 6 (2) r = 3 and s = 2

Agree with B. The second one is obvious. It's definately going to work one way or the other.

The first one says that 3r + 2s = 6. That means there are an infinate number of pairs (r,s). Only one of them will fit the equation 2x+3y=6, so it's not enough information.

But I have a problem with this question. If number 2 is right (and since it's DS, it's a statement of fact) then r = 3 and s = 2. That doesn't jive with number one, which says that 3r + 2s = 6. Plugging in the givens in number 2, 3r + 2s would equal 9 + 4 = 13.

NEVER FORGET THIS: the statements on real GMAT data sufficiency questions will never be talking about a different situation. If those are the points in 2, they will be the points in 1, whether we can logically arrive at them or not. This is critical for seeing the GMAT in the proper light. Never take the two statements in a vacuum from one another, even if the answer is A,B or D. We can always use the information we learn from one to evaluate the other, even if it's not C.

I think B is the answer but it doesn't fit in the region given by equation 3x+2y = 6. If you put in the values of r=3 and s=2, it is 12=6, so it doesn't fit in the region, although it does answer the question.

In the xy-plane, region R consists of all the points (x, y) such that 2x + 3y = 6. Is the point (r, s) in region R ? (1) 3r + 2s = 6 (2) r = 3 and s = 2

Agree with B. The second one is obvious. It's definately going to work one way or the other.

The first one says that 3r + 2s = 6. That means there are an infinate number of pairs (r,s). Only one of them will fit the equation 2x+3y=6, so it's not enough information.

But I have a problem with this question. If number 2 is right (and since it's DS, it's a statement of fact) then r = 3 and s = 2. That doesn't jive with number one, which says that 3r + 2s = 6. Plugging in the givens in number 2, 3r + 2s would equal 9 + 4 = 13.

NEVER FORGET THIS: the statements on real GMAT data sufficiency questions will never be talking about a different situation. If those are the points in 2, they will be the points in 1, whether we can logically arrive at them or not. This is critical for seeing the GMAT in the proper light. Never take the two statements in a vacuum from one another, even if the answer is A,B or D. We can always use the information we learn from one to evaluate the other, even if it's not C.

what ian has said is indeed valuable info to remember....i wud say whoever framed this question did not do a good job ...