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Points Q, R and S lie in a plane. If the distance between
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21 Sep 2020, 04:40
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Points Q, R and S lie in a plane. If the distance between Q and R is 18 and the distance between R and S is 11, which of the following values could be the distance between Q and S?
Re: Points Q, R and S lie in a plane. If the distance between
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25 Sep 2020, 02:53
Ok it was a tricky one. Why do we have to consider all the values in range? I know the min and max range and I selected only those options too but my answer is incorrect
Re: Points Q, R and S lie in a plane. If the distance between
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26 Sep 2020, 07:42
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Case 1: Consider all points lie in the same straight line. Then you have two option, 18 - 11 = 7 as minimum length, and 18 + 11 = 29 as maximum length.
Case 2: Consider these 3 points makes a triangle in the plane. Then all the answer values between the minimum and maximum range are also valid answers.
Re: Points Q, R and S lie in a plane. If the distance between
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26 Sep 2020, 09:52
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Carcass wrote:
Points Q, R and S lie in a plane. If the distance between Q and R is 18 and the distance between R and S is 11, which of the following values could be the distance between Q and S?
Indicate all such values.
A. 6 B. 7 C. 11 D. 13 E. 28 F. 29 G. 30
Here's a sketch of what we're dealing with:
This question is testing your knowledge of the following rule; If two sides of a triangle have lengths A and B, then . . . DIFFERENCE between A and B < length of third side < SUM of A and B
This means we can write: 18 - 11 < x < 18 + 11 Simplify: 7 < x < 29
IMPORTANT: The correct answer here WOULD be C, D, E IF we were told that points Q, R and S create a triangle. However, since we're not told the points create a triangle, it's also possible that all three points are on the same line, in which case we can also get 7 and 29 as possible lengths of RS
For example, if all three points are on a line as follows...
... QS has length 29
And if all three points are on a line like this...
Re: Points Q, R and S lie in a plane. If the distance between
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15 Jan 2023, 16:52
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Re: Points Q, R and S lie in a plane. If the distance between [#permalink]