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Bunuel
If a = 2b, 1/2*b = c, and 4c = 3d, then what is the ratio of d to a?

A. 1 : 3
B. 3 : 1
C. 3 : 4
D. 1 : 1
E. 4 : 3
a is the greatest of three:
a = 2b, b = 2c, so a > c

d's relation to a is not evident in an instant, so I picked a larger multiple of the coefficients 2, 3, and 4

Let a = 36
a = 2b
36 = 2b
b = 18

1/2 * b = c
b = 2c
18 = 2c
c = 9

4c = 3d
36 = 3d
d = 12

Ratio of d to a

\(\frac{12}{36} =\frac{1}{3} = (1:3)\)

Answer A
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Bunuel
If a = 2b, 1/2*b = c, and 4c = 3d, then what is the ratio of d to a?

A. 1 : 3
B. 3 : 1
C. 3 : 4
D. 1 : 1
E. 4 : 3

We can multiply the equation 1/2*b = c by 4 and we have:

2b = 4c

Since a = 2b:

a = 4c

Since 4c = 3d:

3d = a

So, d/a = 1/3

Answer: A
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Hello from the GMAT Club BumpBot!

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