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# What is the value of (5a - 4b + 10c)/(3b) ? (1) b-a = 2c (2)

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Joined: 22 Aug 2013
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What is the value of (5a - 4b + 10c)/(3b) ? (1) b-a = 2c (2)  [#permalink]

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31 May 2018, 22:42
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Difficulty:

75% (hard)

Question Stats:

54% (01:58) correct 46% (02:22) wrong based on 65 sessions

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What is the value of (5a - 4b + 10c)/(3b) ?

(1) 2b-a = 2c

(2) 4b/(8c+4a) = 1/2

Inspired by the following OG question:
https://gmatclub.com/forum/what-is-the- ... 46795.html
Intern
Joined: 24 Oct 2017
Posts: 45
Re: What is the value of (5a - 4b + 10c)/(3b) ? (1) b-a = 2c (2)  [#permalink]

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31 May 2018, 23:01
1
A...2b-a=2c
a=2b-2c
Put value of a in (5a-4b+10c)/3b
Ans 2

B...4b/(8c+4a)=1/2
8b=8c+4a
a=2b-2c...same
ans d

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Re: What is the value of (5a - 4b + 10c)/(3b) ? (1) b-a = 2c (2)  [#permalink]

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01 Jun 2018, 07:21
[quote="amanvermagmat"]What is the value of (5a - 4b + 10c)/(3b) ?

(1) 2b-a = 2c

(2) 4b/(8c+4a) = 1/2

Option -1 - Putting the value of 2c in the given equation we can obtain an equation with both numerator and denominator in the form of 'b'. So sufficient.
Option - 2 - We can simplify the given equation and get the same equation as option-1. So sufficient.

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Re: What is the value of (5a - 4b + 10c)/(3b) ? (1) b-a = 2c (2)  [#permalink]

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19 Feb 2019, 01:05
amanvermagmat wrote:
What is the value of (5a - 4b + 10c)/(3b) ?

(1) 2b-a = 2c

(2) 4b/(8c+4a) = 1/2

If we can just manipulate the question statement

We can get {5(a+2c) - 4b} / {3b}

from 1) we get a+2c = 2b, which when substituted gives us an unique value

from 2) 4b = 2c + a, which when substituted gives us an unique value

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Re: What is the value of (5a - 4b + 10c)/(3b) ? (1) b-a = 2c (2)   [#permalink] 19 Feb 2019, 01:05
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