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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
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V
Joined: 02 Sep 2009
Posts: 55732
Points P, Q, R and S are on line L in the order shown. If Q is the mid  [#permalink]

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New post 14 Jul 2017, 01:19
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

80% (01:13) correct 20% (01:22) wrong based on 41 sessions

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Intern
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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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New post 14 Jul 2017, 01:32
Answer 10 option B

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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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New post 14 Jul 2017, 01:43
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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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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New post 14 Jul 2017, 01:47
\(PQ = 7, PS = 14, QS = 7.\)

\(QS = QR + RS\)
\(RS = 4, QR = 3.\)

\(PR = PQ + QR\)
\(PQ = 7, QR = 3, PR = 10.\) Ans - B.
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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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New post 15 Jul 2017, 08:26
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.
So answer is B.
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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] 15 Jul 2017, 08:26
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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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