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If [m][fraction]a/b[/fraction] = [fraction]1/3[/fraction][/m
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08 Jan 2021, 07:51
08 Jan 2021, 07:51
2
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Question Stats:
69% (02:52) correct
30% (02:47) wrong based on 39 sessions
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If \(\frac{a}{b} = \frac{1}{3}\), \(\frac{b}{c} = 2\), \(\frac{c}{d} = \frac{1}{2}\), \(\frac{d}{e} = 3\) and \(\frac{e}{f} = \frac{1}{4}\), then what is the value of \(\frac{abc}{def}\) ?
(A) 27/4
(B) 27/8
(C) 3/4
(D) 3/8
(E) 1/4
Kudos for the right answer and explanation
(A) 27/4
(B) 27/8
(C) 3/4
(D) 3/8
(E) 1/4
Kudos for the right answer and explanation
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
If [m][fraction]a/b[/fraction] = [fraction]1/3[/fraction][/m
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08 Jan 2021, 07:58
08 Jan 2021, 07:58
1
Carcass wrote:
If \(\frac{a}{b} = \frac{1}{3}\), \(\frac{b}{c} = 2\), \(\frac{c}{d} = \frac{1}{2}\), \(\frac{d}{e} = 3\) and \(\frac{e}{f} = \frac{1}{4}\), then what is the value of \(\frac{abc}{def}\) ?
(A) 27/4
(B) 27/8
(C) 3/4
(D) 3/8
(E) 1/4
Kudos for the right answer and explanation
(A) 27/4
(B) 27/8
(C) 3/4
(D) 3/8
(E) 1/4
Kudos for the right answer and explanation
Assign some values to the given variables.
Given: a/b = 1/3
Let a = 2 and b = 6
Given: b/c = 2
Since b = 6, it must be the case that c = 3
Given: c/d = 1/2
Since c = 3 , it must be the case that d = 6
Given: d/e=3
Since d = 6 , it must be the case that e = 2
Given: e/f = 1/4
Since e = 2 , it must be the case that f = 8
So, abc/def = (2)(6)(3)/(6)(2)(8)
= 36/96
= 3/8
Answer: D
Re: If [m][fraction]a/b[/fraction] = [fraction]1/3[/fraction][/m
[#permalink]
13 Jan 2021, 00:04
13 Jan 2021, 00:04
1
Say,
f = 24
e = 24 x 1/4 = 6
d = 6 x 3 = 18
c = 18 x 1/2 = 9
b = 9 x 2 = 18
a = 18 x 1/3 = 6
Therefore,
abc/def
= (6 x 18 x 9)/(18 x 6 x 24)
= 9/24
= 3/8
f = 24
e = 24 x 1/4 = 6
d = 6 x 3 = 18
c = 18 x 1/2 = 9
b = 9 x 2 = 18
a = 18 x 1/3 = 6
Therefore,
abc/def
= (6 x 18 x 9)/(18 x 6 x 24)
= 9/24
= 3/8
