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If B is the midpoint of line segment AD and C is the midpoin

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If B is the midpoint of line segment AD and C is the midpoin [#permalink]  09 Jun 2018, 08:33
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Question Stats:

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If B is the midpoint of line segment AD and C is the midpoint of line segment BD, what is the value of $$\frac{AB}{AC}$$ ?

(A) $$\frac{3}{4}$$

(B) $$\frac{2}{3}$$

(C) $$\frac{1}{2}$$

(D) $$\frac{1}{3}$$

(E) $$\frac{1}{4}$$
[Reveal] Spoiler: OA

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Re: If B is the midpoint of line segment AD and C is the midpoin [#permalink]  09 Jun 2018, 11:08
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Carcass wrote:
If B is the midpoint of line segment AD and C is the midpoint of line segment BD, what is the value of $$\frac{AB}{AC}$$ ?

(A) $$\frac{3}{4}$$

(B) $$\frac{2}{3}$$

(C) $$\frac{1}{2}$$

(D) $$\frac{1}{3}$$

(E) $$\frac{1}{4}$$

Let AD be 10 i.e AB = 5 and BD = 5 (AD = AB + BD as B is mid point)

Now C is midpoint for BD, BD = BC + CD.

As per our values BD = 5 then BC = 2.5 and CD = 2.5

$$\frac{AB}{AC}$$
=> $$\frac{5}{5 + 2.5}$$ ( Note : AC = AB + BC )
=> $$\frac{5}{7.5}$$
=> $$\frac{1}{1.5}$$
=> $$\frac{1}{(3/2)}$$

=> 2/3.

Ans B
Re: If B is the midpoint of line segment AD and C is the midpoin   [#permalink] 09 Jun 2018, 11:08
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