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If Q is the midpoint of the line segment PS, and R is the midpoint of

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Bunuel
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If Q is the midpoint of the line segment PS, and R is the midpoint of [#permalink] New post   12 Jul 2017, 01:40
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If Q is the midpoint of the line segment PS, and R is the midpoint of line segment QS, what is the value of PQ/PR?

(A) 3/4
(B) 2/3
(C) 1/2
(D) 1/3
(E) 1/4
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Bunuel
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Re: If Q is the midpoint of the line segment PS, and R is the midpoint of [#permalink] New post   12 Jul 2017, 01:45
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jedit wrote:
Bunuel wrote:
If Q is the midpoint of the line segment PS, and R is the midpoint of line segment QS, what is the value of PQ/PR?

(A) 3/4
(B) 2/3
(C) 1/2
(D) 1/3
(E) 1/4


Bunuel, are we not supposed to get a diagram with this.


No, it can be solved without it.
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Re: If Q is the midpoint of the line segment PS, and R is the midpoint of [#permalink] New post   12 Jul 2017, 01:48
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Bunuel wrote:
If Q is the midpoint of the line segment PS, and R is the midpoint of line segment QS, what is the value of PQ/PR?

(A) 3/4
(B) 2/3
(C) 1/2
(D) 1/3
(E) 1/4


PQ=PS/2

PR=PQ+QR=PS/2 + QS/2=PS/2 + PS/4=3PS/4

PQ/PR = PS/2 * 4/3PS = 2/3

Answer: B

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If Q is the midpoint of the line segment PS, and R is the midpoint of [#permalink] New post   12 Jul 2017, 01:43
Bunuel wrote:
If Q is the midpoint of the line segment PS, and R is the midpoint of line segment QS, what is the value of PQ/PR?

(A) 3/4
(B) 2/3
(C) 1/2
(D) 1/3
(E) 1/4


Bunuel, are we not supposed to get a diagram with this.
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If Q is the midpoint of the line segment PS, and R is the midpoint of [#permalink] New post   12 Jul 2017, 08:27
Bunuel wrote:
If Q is the midpoint of the line segment PS, and R is the midpoint of line segment QS, what is the value of PQ/PR?

(A) 3/4
(B) 2/3
(C) 1/2
(D) 1/3
(E) 1/4


Lets put some values to the line segment.

Let \(PS = 4\)

\(Q\) is the midpoint of the line segment \(PS\).

\(PQ = QS = 2\)

\(R\) is the midpoint of line segment \(QS\).

\(QR = RS = 1\)

\(PR = PQ + QR = 2 + 1 = 3\)

Required fraction \(= \frac{PQ}{PR} = \frac{2}{3}\)

Answer (B)...
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Re: If Q is the midpoint of the line segment PS, and R is the midpoint of [#permalink] New post   12 Jul 2017, 09:09
Assume length of the line=4
PQ=2=QS(Q is the Mid Point)
QR=RS=1(R is the Mid Point)
PR=PQ+QR=3
PQ/PR=2/3



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Re: If Q is the midpoint of the line segment PS, and R is the midpoint of [#permalink] New post   17 Oct 2018, 00:35
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Re: If Q is the midpoint of the line segment PS, and R is the midpoint of [#permalink]
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