shashankism
Bunuel
C is the midpoint of line segment AE and B is the midpoint of line segment AC. If D is a point between A and E so that the length of AB equals the length of DE, what is the ratio "length of CD/length of AC"?
(A) 4/1
(B) 2/1
(C) 3/4
(D) 1/2
(E) 1/4
C is the midpoint of line AE...
Let AC = CE = 2x
A.................2x................C.................2x...................E
B is the midpoint of line segment AC.
AB = BC = AC/2 = x
A........x........B........x........C.................2x..................E
Now, D is a point between A & E. Also AB = DE = x, CD CE - DE = 2x - x = x
So, A........x........B........x........C........x........D.......x........E
CD = x
AC = 2x
CD/AC = 1/2
Answer DHi Shashankism
I solved it this way. Is it a valid way to solve this question?
Let the length be 1.
A___________B_____________C_____________D____________E
As C is the midpoint of line AE, AC=CE= 1/2
As B is the midpoint of line AC, AB=BC=1/4
We are also given that D is a point between A and E and also AB=DE=1/4
So I assume that D is also the midpoint of CE.
Therefore the ratio is: 1/4*2/1= 1/2