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Points P, Q, R, S, T, V and W are distinct points arranged in a plane

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Points P, Q, R, S, T, V and W are distinct points arranged in a plane [#permalink]

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New post 01 Sep 2017, 00:40
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Question Stats:

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Points P, Q, R, S, T, V and W are distinct points arranged in a plane as follows: points P, Q and R lie on one line, and points S, Q and T lie on another line. If STV and PQW are triangles, what is the greatest possible number of points that can lie on one line?

(A) Three
(B) Four
(C) Five
(D) Six
(E) Seven

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Re: Points P, Q, R, S, T, V and W are distinct points arranged in a plane [#permalink]

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New post 01 Sep 2017, 01:08
B. Two lines have 3 points on each. In order to complete the triangle 4th point has to be on another line.

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Re: Points P, Q, R, S, T, V and W are distinct points arranged in a plane [#permalink]

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New post 01 Sep 2017, 07:02
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Bunuel wrote:
Points P, Q, R, S, T, V and W are distinct points arranged in a plane as follows: points P, Q and R lie on one line, and points S, Q and T lie on another line. If STV and PQW are triangles, what is the greatest possible number of points that can lie on one line?

(A) Three
(B) Four
(C) Five
(D) Six
(E) Seven




I think 6, if we join both lines then point W and V will not be on the line rest all six can be on same line
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Re: Points P, Q, R, S, T, V and W are distinct points arranged in a plane [#permalink]

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New post 01 Sep 2017, 10:17
rocko911 wrote:
Bunuel wrote:
Points P, Q, R, S, T, V and W are distinct points arranged in a plane as follows: points P, Q and R lie on one line, and points S, Q and T lie on another line. If STV and PQW are triangles, what is the greatest possible number of points that can lie on one line?

(A) Three
(B) Four
(C) Five
(D) Six
(E) Seven




I think 6, if we join both lines then point W and V will not be on the line rest all six can be on same line


I guess you are confusing lines with line segments.
Whereas line segments can be joined together, a line extends infinitely in both directions.
So joining both lines makes no sense.
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Re: Points P, Q, R, S, T, V and W are distinct points arranged in a plane [#permalink]

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New post 02 Sep 2017, 05:29
I think the answer is 5
We can 5 points on any of the lines
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Re: Points P, Q, R, S, T, V and W are distinct points arranged in a plane [#permalink]

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New post 02 Sep 2017, 07:33
Bunuel wrote:
Points P, Q, R, S, T, V and W are distinct points arranged in a plane as follows: points P, Q and R lie on one line, and points S, Q and T lie on another line. If STV and PQW are triangles, what is the greatest possible number of points that can lie on one line?

(A) Three
(B) Four
(C) Five
(D) Six
(E) Seven


Each line has 3 points already. To form the Triangle it has to have one more point on the other line , making 4 point on each line.
Re: Points P, Q, R, S, T, V and W are distinct points arranged in a plane   [#permalink] 02 Sep 2017, 07:33
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