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

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
If Q is the midpoint of the line segment PS, and R is the midpoint of  [#permalink]

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12 Jul 2017, 00:40
00:00

Difficulty:

5% (low)

Question Stats:

84% (01:01) correct 16% (01:08) wrong based on 82 sessions

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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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Joined: 14 Oct 2015
Posts: 249
GPA: 3.57
If Q is the midpoint of the line segment PS, and R is the midpoint of  [#permalink]

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12 Jul 2017, 00:43
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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Math Expert
Joined: 02 Sep 2009
Posts: 53020
Re: If Q is the midpoint of the line segment PS, and R is the midpoint of  [#permalink]

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12 Jul 2017, 00:45
2
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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Location: India
GMAT 1: 730 Q49 V41
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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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12 Jul 2017, 00:48
1
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

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If Q is the midpoint of the line segment PS, and R is the midpoint of  [#permalink]

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12 Jul 2017, 07:27
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 $$= \frac{PQ}{PR} = \frac{2}{3}$$

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Joined: 03 May 2014
Posts: 158
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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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12 Jul 2017, 08:09
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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Joined: 09 Sep 2013
Posts: 9870
Re: If Q is the midpoint of the line segment PS, and R is the midpoint of  [#permalink]

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16 Oct 2018, 23:35
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Re: If Q is the midpoint of the line segment PS, and R is the midpoint of   [#permalink] 16 Oct 2018, 23:35
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