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# Points P, Q, R and S are on line L in the order shown. If Q is the mid

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Math Expert
Joined: 02 Sep 2009
Posts: 64068
Points P, Q, R and S are on line L in the order shown. If Q is the mid  [#permalink]

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14 Jul 2017, 00:19
1
00:00

Difficulty:

25% (medium)

Question Stats:

81% (01:16) correct 19% (01:22) wrong based on 43 sessions

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Points P, Q, R and S are on line L in the order shown. If Q is the midpoint of segment PS and if RS = 4 and PQ = 7, then PR =

(A) 3
(B) 10
(C) 11
(D) 14
(E) 18

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2017-07-14_1218.png [ 7.85 KiB | Viewed 836 times ]

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Joined: 29 Dec 2016
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Re: Points P, Q, R and S are on line L in the order shown. If Q is the mid  [#permalink]

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14 Jul 2017, 00:32

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Joined: 19 Dec 2016
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Points P, Q, R and S are on line L in the order shown. If Q is the mid  [#permalink]

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14 Jul 2017, 00:43
As Q is mid point of PS so PQ = QS

and PQ=7(Given) so QS=7

and QS= QR+RS => 7=QR+4 => QR=3

PR= PQ+QR=> 7+3= 10

OA B
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Joined: 28 Jun 2015
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Concentration: Finance
GPA: 3.5
Re: Points P, Q, R and S are on line L in the order shown. If Q is the mid  [#permalink]

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14 Jul 2017, 00:47
$$PQ = 7, PS = 14, QS = 7.$$

$$QS = QR + RS$$
$$RS = 4, QR = 3.$$

$$PR = PQ + QR$$
$$PQ = 7, QR = 3, PR = 10.$$ Ans - B.
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Joined: 18 Jun 2017
Posts: 58
Re: Points P, Q, R and S are on line L in the order shown. If Q is the mid  [#permalink]

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15 Jul 2017, 07:26
Since PQ+QR+RS=14 [Q being mid point of the segment so PR=2PQ]
Substituting and solving for QR above would give 3. PQ+QR=10.
Re: Points P, Q, R and S are on line L in the order shown. If Q is the mid   [#permalink] 15 Jul 2017, 07:26