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A sum of $12000 was distributed among five individuals - A, B, C, D

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A sum of $12000 was distributed among five individuals - A, B, C, D  [#permalink]

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New post 30 Jul 2018, 09:41
1
2
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

71% (01:20) correct 29% (01:27) wrong based on 45 sessions

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A sum of $12000 was distributed among five individuals - A, B, C, D, and E. What was C's share?

1. A received \(\frac{1}{3}\)rd more than what B did and B received \(\frac{1}{4}\)th more than what D did.
2. C received \(\frac{1}{2}\) more than what E did.

Source: Experts Global

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A sum of $12000 was distributed among five individuals - A, B, C, D  [#permalink]

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New post 30 Jul 2018, 10:34
1
pushpitkc wrote:
A sum of $12000 was distributed among five individuals - A, B, C, D, and E. What was C's share?

1. A received \(\frac{1}{3}\)rd more than what B did and B received \(\frac{1}{4}\)th more than what D did.
2. C received \(\frac{1}{2}\) more than what E did.

Source: Experts Global


Statement 1: let D receive \(12x\) amount, where \(x\) is any variable.

So B received \(= 12x+12x*\frac{1}{4}=15x\) and A received \(15x+15x*\frac{1}{3}=18x\). But Nothing mentioned about C's share and \(x\). Insufficient

Statement 2: Let E receive \(2y\)

So C gets \(= 2y+2y*\frac{1}{2}=3y\). But we do not know the value of \(y\). Insufficient

Combining 1 & 2: we do not have a relationship between \(x\) & \(y\). Hence cannot be solved. Insufficient

Option E
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A sum of $12000 was distributed among five individuals - A, B, C, D  [#permalink]

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New post 30 Jul 2018, 10:34
1
pushpitkc wrote:
A sum of $12000 was distributed among five individuals - A, B, C, D, and E. What was C's share?

1. A received \(\frac{1}{3}\)rd more than what B did and B received \(\frac{1}{4}\)th more than what D did.
2. C received \(\frac{1}{2}\) more than what E did.

Source: Experts Global



Do not waste too much time in drawing any equation..
Five variables A,B,C,D,E

Statement I gives relationship between A, B and D Nothing about C and E
Insufficient
Statement II gives relationship between C and E..
Nothing about other 3
Insufficient

Combined..
We have relationship between A, B and D on one hand and relationship between C and E on other hand..
BUT the two sets are not related to each other..
So Insufficient

E
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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A sum of $12000 was distributed among five individuals - A, B, C, D  [#permalink]

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New post 01 Aug 2018, 04:50
niks18 wrote:
pushpitkc wrote:
A sum of $12000 was distributed among five individuals - A, B, C, D, and E. What was C's share?

1. A received \(\frac{1}{3}\)rd more than what B did and B received \(\frac{1}{4}\)th more than what D did.
2. C received \(\frac{1}{2}\) more than what E did.

Source: Experts Global


Statement 1: let D receive \(12x\) amount, where \(x\) is any variable.

So B received \(= 12x+12x*\frac{1}{4}=15x\) and A received \(15x+15x*\frac{1}{3}=18x\). But Nothing mentioned about C's share and \(x\). Insufficient

Statement 2: Let E receive \(2y\)

So C gets \(= 2y+2y*\frac{1}{2}=3y\). But we do not know the value of \(y\). Insufficient

Combining 1 & 2: we do not have a relationship between \(x\) & \(y\). Hence cannot be solved. Insufficient

Option E



pushpitkc hello,

can you please explain niks`s solution,

Why in statement 1 niks adds up TWO "12s" same question is about second statement. And how from statement one can we get value for D ? We know how much A and B received, how about D, can we get answer for D ? if yes then how ? :?

thanks for taking time to explain :-)

Hi niks18 may be you can explain when you get a chance :-) thanks
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Re: A sum of $12000 was distributed among five individuals - A, B, C, D  [#permalink]

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New post 02 Aug 2018, 02:20
1
dave13 wrote:
niks18 wrote:
pushpitkc wrote:
A sum of $12000 was distributed among five individuals - A, B, C, D, and E. What was C's share?

1. A received \(\frac{1}{3}\)rd more than what B did and B received \(\frac{1}{4}\)th more than what D did.
2. C received \(\frac{1}{2}\) more than what E did.

Source: Experts Global


Statement 1: let D receive \(12x\) amount, where \(x\) is any variable.

So B received \(= 12x+12x*\frac{1}{4}=15x\) and A received \(15x+15x*\frac{1}{3}=18x\). But Nothing mentioned about C's share and \(x\). Insufficient

Statement 2: Let E receive \(2y\)

So C gets \(= 2y+2y*\frac{1}{2}=3y\). But we do not know the value of \(y\). Insufficient

Combining 1 & 2: we do not have a relationship between \(x\) & \(y\). Hence cannot be solved. Insufficient

Option E



pushpitkc hello,

can you please explain niks`s solution,

Why in statement 1 niks adds up TWO "12s" same question is about second statement. And how from statement one can we get value for D ? We know how much A and B received, how about D, can we get answer for D ? if yes then how ? :?

thanks for taking time to explain :-)

Hi niks18 may be you can explain when you get a chance :-) thanks


Hi dave13

to understand the statements consider a simple example - If I have 10 apples and you have 2 more than apples than how many apples you have and how you arrived at the solution?
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Re: A sum of $12000 was distributed among five individuals - A, B, C, D  [#permalink]

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New post 02 Aug 2018, 04:33
niks18 oh i got it :) are you an iphone user ? :) thank you ! :-)

i have one more question in statement 2 you say let E received 2y so having got the result 3y you write we dont know value of Y right ? if so .

then why you dont make the same conclusion in statement 1 in which you get 15x and 18x ? :? you could say the same right that we dont know value of X
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Re: A sum of $12000 was distributed among five individuals - A, B, C, D  [#permalink]

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New post 02 Aug 2018, 06:34
1
dave13 wrote:
niks18 oh i got it :) are you an iphone user ? :) thank you ! :-)

i have one more question in statement 2 you say let E received 2y so having got the result 3y you write we dont know value of Y right ? if so .

then why you dont make the same conclusion in statement 1 in which you get 15x and 18x ? :? you could say the same right that we dont know value of X


Hi dave13

in my solution i have also mentioned that the value of x is unknown. There are multiple things missing there and I chose to point out two missing components. It will not make any difference to the solution
Re: A sum of $12000 was distributed among five individuals - A, B, C, D &nbs [#permalink] 02 Aug 2018, 06:34
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