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Points P, Q and R are situated on the number line m such that PR = 4/3

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Points P, Q and R are situated on the number line m such that PR = 4/3  [#permalink]

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New post 14 Jul 2017, 01:29
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

90% (01:33) correct 10% (01:10) wrong based on 62 sessions

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Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
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Re: Points P, Q and R are situated on the number line m such that PR = 4/3  [#permalink]

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New post 14 Jul 2017, 02:03
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Bunuel wrote:
Image
Points P, Q and R are situated on the number line m such that PR = 4/3*PQ. What is the ratio of PQ to QR?

(A) 4/1
(B) 3/1
(C) 2/1
(D) 3/2
(E) 5/4

Attachment:
2017-07-14_1227.png


PQ = x
PR = (4/3)x
QR = PR-PQ=x/3

PQ/QR = 3/1
Hence B
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Re: Points P, Q and R are situated on the number line m such that PR = 4/3  [#permalink]

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New post 14 Jul 2017, 10:32
Bunuel wrote:
Image
Points P, Q and R are situated on the number line m such that PR = 4/3*PQ. What is the ratio of PQ to QR?

(A) 4/1
(B) 3/1
(C) 2/1
(D) 3/2
(E) 5/4

Attachment:
2017-07-14_1227.png


3 PR = 4 PQ
If PQ = 3 , then PR = 4
=> QR = PR- PQ = 4-3 = 1
PQ/QR = 3/1

Answer B
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Re: Points P, Q and R are situated on the number line m such that PR = 4/3  [#permalink]

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New post 14 Jul 2017, 10:41
PR = 4/3 * PQ, so, QR = 1/3 * PQ.

PQ : QR = 3QR : QR = 3:1. Ans - B.
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Re: Points P, Q and R are situated on the number line m such that PR = 4/3  [#permalink]

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New post 15 Jul 2017, 03:48
let pq=x, therefore pr=(4/3)x

hence qr=x/3

pq/qr= x*(3/x) ..........B

ans 3/1
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Re: Points P, Q and R are situated on the number line m such that PR = 4/3  [#permalink]

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New post 15 Jul 2017, 08:05
Using PQ/QR=PQ/(PR-PQ)
Now substitute PQ in terms of PR above and find the ratio.
B should be the answer.
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Re: Points P, Q and R are situated on the number line m such that PR = 4/3   [#permalink] 15 Jul 2017, 08:05
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Points P, Q and R are situated on the number line m such that PR = 4/3

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