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Math Expert V
Joined: 02 Sep 2009
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The research funds of a certain company were divided among three depar  [#permalink]

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Difficulty:   5% (low)

Question Stats: 95% (00:54) correct 5% (01:12) wrong based on 839 sessions

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The research funds of a certain company were divided among three departments, X, Y, and Z. Which one of the three departments received the greatest proportion of the research funds?

(1) The research funds received by departments X and Y were in the ratio 3 to 5, respectively.
(2) The research funds received by departments X and Z were in the ratio 2 to 1, respectively.

NEW question from GMAT® Official Guide 2019

(DS05338)

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Senior PS Moderator V
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Posts: 3307
Location: India
GPA: 3.12
Re: The research funds of a certain company were divided among three depar  [#permalink]

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1
1
(1) The research funds received by departments X and Y were in the ratio 3 to 5, respectively.
X : Y = 3 : 5 | For every $3x received by department X, department Y receives$5x. Since we
have no information about the funds received by department Z, we can't say for sure which of
the three departments gets the maximum funds Insufficient

(2) The research funds received by departments X and Z were in the ratio 2 to 1, respectively.
X : Z = 2 : 1 | For every $2y received by department X, department Z receives$y. Since we
have no information about the funds received by department Y, we can't say for sure which of
the three departments gets the maximum funds Insufficient

When we combine the information present in both the statements,
X:Y = 3:5 and X:Z = 2:1 -> X:Y:Z = 6:10:3. We can clearly see that
the department Y gets the maximum funds (Sufficient - Option C)
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examPAL Representative P
Joined: 07 Dec 2017
Posts: 1155
Re: The research funds of a certain company were divided among three depar  [#permalink]

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1
Bunuel wrote:
The research funds of a certain company were divided among three departments, X, Y, and Z. Which one of the three departments received the greatest proportion of the research funds?

(1) The research funds received by departments X and Y were in the ratio 3 to 5, respectively.
(2) The research funds received by departments X and Z were in the ratio 2 to 1, respectively.

NEW question from GMAT® Official Guide 2019

(DS05338)

We'll translate the words into equations to make them easier to understand.
This is a Precise approach.

(1) gives us x:y = 3:5. Without information on z, we don't know which is largest.
Insufficient.

(2) so x:z = 2:1 Without information on y, this is insufficient.
Insufficient.

Combined: Even without explicitly calculating, we now know the ratio between x to both y and z and can therefore calculate which is largest.
Sufficient.

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Manager  S
Joined: 07 Feb 2017
Posts: 175
Re: The research funds of a certain company were divided among three depar  [#permalink]

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IMO C
Y has greatest proportion
3 to 5 to 1.5
Intern  B
Joined: 10 Mar 2018
Posts: 11
Re: The research funds of a certain company were divided among three depar  [#permalink]

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I will solve this with imaginary number to make is easy

We are asked to find who got the highest are?

Statement 1: X/Y = 3/5, we don't know the value of Z. i.e. not sufficient

Statement 2 X/Z = 2/1, this statement does not have any information for Y i.e. not sufficient

Statement (1)+(2):

X/y = 3/5 = 30/50

X/Z = 2/1. If X=30, then x/z = 30/15

Which means, X= 30, Y = 50 and Z = 15.

Y got the highest. Answer C.
VP  D
Joined: 09 Mar 2016
Posts: 1229
Re: The research funds of a certain company were divided among three depar  [#permalink]

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pushpitkc wrote:
(1) The research funds received by departments X and Y were in the ratio 3 to 5, respectively.
X : Y = 3 : 5 | For every $3x received by department X, department Y receives$5x. Since we
have no information about the funds received by department Z, we can't say for sure which of
the three departments gets the maximum funds Insufficient

(2) The research funds received by departments X and Z were in the ratio 2 to 1, respectively.
X : Z = 2 : 1 | For every $2y received by department X, department Z receives$y. Since we
have no information about the funds received by department Y, we can't say for sure which of
the three departments gets the maximum funds Insufficient

When we combine the information present in both the statements,
X:Y = 3:5 and X:Z = 2:1 -> X:Y:Z = 6:10:3. We can clearly see that
the department Y gets the maximum funds (Sufficient - Option C)

hello pushpitkc hope you are having a cool summer weekend have some questions

$$\frac{3x}{5y}$$ $$\frac{2x}{1y}$$

so here i see a common value - i mean X so i mupltiply 3x by 2x and 5y by 2x so i get $$\frac{6x}{10y}$$ after this i got confused i bit

two questions how did you get 3 here 6:10:3

and how did you assign values X:Y:Z = 6:10:3 respectively ?

thanks Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3307
Location: India
GPA: 3.12
Re: The research funds of a certain company were divided among three depar  [#permalink]

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2
dave13 wrote:
pushpitkc wrote:
(1) The research funds received by departments X and Y were in the ratio 3 to 5, respectively.
X : Y = 3 : 5 | For every $3x received by department X, department Y receives$5x. Since we
have no information about the funds received by department Z, we can't say for sure which of
the three departments gets the maximum funds Insufficient

(2) The research funds received by departments X and Z were in the ratio 2 to 1, respectively.
X : Z = 2 : 1 | For every $2y received by department X, department Z receives$y. Since we
have no information about the funds received by department Y, we can't say for sure which of
the three departments gets the maximum funds Insufficient

When we combine the information present in both the statements,
X:Y = 3:5 and X:Z = 2:1 -> X:Y:Z = 6:10:3. We can clearly see that
the department Y gets the maximum funds (Sufficient - Option C)

hello pushpitkc hope you are having a cool summer weekend have some questions

$$\frac{3x}{5y}$$ $$\frac{2x}{1y}$$

so here i see a common value - i mean X so i mupltiply 3x by 2x and 5y by 2x so i get $$\frac{6x}{10y}$$ after this i got confused i bit

two questions how did you get 3 here 6:10:3

and how did you assign values X:Y:Z = 6:10:3 respectively ?

thanks Hey dave13

You seemed to have missed something here:
Statement 1 - X:Y is 3:5(3x:5x) | Statement 2 - X:Z is 2:1(2y:y)

To make the ratios equal, we multiply the first ratio by 2 making X:Y (6:10) - (if x = 2)
Similarly, we multiply the ratio obtained in the 2nd statement by 3, X:Z (6:3) - (if y = 3)
Now, the common ratio [X : Y : Z] - 6:10:3 on combining both the statements

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Re: The research funds of a certain company were divided among three depar  [#permalink]

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_________________ Re: The research funds of a certain company were divided among three depar   [#permalink] 12 Jul 2019, 13:06
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