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# 8x+4y+5z=3 x,y,z are positive numbers what is x? (1)4y is an

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8x+4y+5z=3 x,y,z are positive numbers what is x? (1)4y is an [#permalink]

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10 Jan 2009, 08:30
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8x+4y+5z=3，x,y,z are positive numbers，what is x?
(1)4y is an integer
(2)5z is an integer
Director
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Re: DS: Value of X [#permalink]

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10 Jan 2009, 09:06
off the top of my head i will go for c here, but I am not sure.

x,y, z have to be fractions otherwise the sum of 8* + 4 * + 5 * wont add up to 3.

A. y can be 1/4 or 1/2 but A alone is not suff
B. z can be 1/5

together y cant be 1/2 as x is positive number, so y=1/4

suff to calculate x.

Manager
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Re: DS: Value of X [#permalink]

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10 Jan 2009, 14:57
I also get c because both 4y and 5z being positive inntegers we can solve for x.
alpha_plus_gamma wrote:
off the top of my head i will go for c here, but I am not sure.

x,y, z have to be fractions otherwise the sum of 8* + 4 * + 5 * wont add up to 3.

A. y can be 1/4 or 1/2 but A alone is not suff
B. z can be 1/5

together y cant be 1/2 as x is positive number, so y=1/4

suff to calculate x.

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Re: DS: Value of X [#permalink]

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10 Jan 2009, 15:25
(A) & (B) are insuff

4y can be any integer such as 1, 2, 3 etc
5z can be any integer such as 1, 2, 3, 5 etc

8x+4y+5z =3

4y = 2
5z = 1
x=0

But 0 is neither negative nor positive so this is not acceptable value of x.

the only other possibility is :
4y=1
5z=1
x=1/8

(C)
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Re: DS: Value of X [#permalink]

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10 Jan 2009, 22:20
pmenon wrote:
8x+4y+5z=3，x,y,z are positive numbers，what is x?

(1)4y is an integer
(2)5z is an integer

Agree wih C.

good one.
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Re: DS: Value of X [#permalink]

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10 Jan 2009, 22:51
Bidisha wrote:
(A) & (B) are insuff

4y can be any integer such as 1, 2, 3 etc
5z can be any integer such as 1, 2, 3, 5 etc

8x+4y+5z =3

4y = 2
5z = 1
x=0

But 0 is neither negative nor positive so this is not acceptable value of x.

the only other possibility is :
4y=1
5z=1
x=1/8

(C)

C and I must admit this is a good explanation (which is the same one i was about to type).
Re: DS: Value of X   [#permalink] 10 Jan 2009, 22:51
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