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If line segment AD has midpoint M1 and line segment M1D has midpoint

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If line segment AD has midpoint M1 and line segment M1D has midpoint  [#permalink]

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New post 04 Sep 2017, 00:48
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Question Stats:

86% (00:54) correct 14% (01:38) wrong based on 46 sessions

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If line segment AD has midpoint M1 and line segment M1D has midpoint M2 , what is the value of \(\frac{M1D}{AM2}\)?

(A) 1/2
(B) 2/3
(C) 3/4
(D) 4/5
(E) 5/6

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Re: If line segment AD has midpoint M1 and line segment M1D has midpoint  [#permalink]

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New post 04 Sep 2017, 03:54
SajjadAhmad wrote:
If line segment AD has midpoint M1 and line segment M1D has midpoint M2 , what is the value of \(\frac{M1D}{AM2}\)?

(A) 1/2
(B) 2/3
(C) 3/4
(D) 4/5
(E) 5/6


Let AD be 4, then M1 midpoint means 2 from A or D or M1D=Am1=2
Midpoint M2 means 1 away from M2 so 3 away from A or AM2 is 3
So \(\frac{M1D}{AM2}=\frac{2}{3}\)

B
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Re: If line segment AD has midpoint M1 and line segment M1D has midpoint  [#permalink]

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New post 04 Sep 2017, 08:46
Let total length AD =4

M1= midpoint of AD => AM1=M1D = 2
M2= midpoint of M1D => M1M2=M2D = 1

A====2====M1==1==M2==1==D

So M1D/AM2 = 2/(AM1+M1M2) = 2/(2+1) = 2/3

Answer: B
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If line segment AD has midpoint M1 and line segment M1D has midpoint  [#permalink]

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New post 04 Sep 2017, 10:00
SajjadAhmad wrote:
If line segment AD has midpoint M1 and line segment M1D has midpoint M2 , what is the value of \(\frac{M1D}{AM2}\)?

(A) 1/2
(B) 2/3
(C) 3/4
(D) 4/5
(E) 5/6



A______ M1|___|M2 ___D


Consider, AD = 4. Then AM1 = M1D = 2, M1M2 = 1, M2D = 1

M1D/AM2 = 2/(2+1) = 2/3

Ans. B
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If line segment AD has midpoint M1 and line segment M1D has midpoint   [#permalink] 04 Sep 2017, 10:00
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