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# If integers x, y and z are greater than 1 what is the value

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If integers x, y and z are greater than 1 what is the value [#permalink]

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04 Aug 2008, 11:05
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If x, y and z are integers greater than 1, what is the value of x + y + z?

(1) xyz = 70
(2) x/(yz) = 7/10
[Reveal] Spoiler: OA

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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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04 Aug 2008, 11:10
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arjtryarjtry wrote:
) If x, y and z are integers greater than 1, what is the value of x + y + z?
1) xyz = 70
2) x/yz = 7/10

statement 1 : 70 = 2*5*7
x+y+z = 2+5+7 = 14 suff

statement 2 : x/yz = 7/10 = 14/20 = 21/30 ... not suff

option A

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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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04 Aug 2008, 11:11
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arjtryarjtry wrote:
) If x, y and z are integers greater than 1, what is the value of x + y + z?
1) xyz = 70
2) x/yz = 7/10

1) xyz = 70 (suffcient)
= 2 * 5 * 7 ( is only combination which leads to 70)

2) x/yz = 7/10 (not suffcient)

x/yz = 7/10 ( x=7 y = 5 z=2)
x/yz = (7/10)*(k/k) also true for ( x=14 y = 10 z=2)

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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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04 Aug 2008, 11:12
1.) xyz = 70
= 7*5*2
therefore, x+y+z = 7+5+2 = 14
sufficient

2.) x/yz = 7/10
x = 70, y = 20 , z = 5
or
x = 7, y = 5, z = 2
Insuff..

Therefore, A

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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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05 Aug 2008, 19:15
arjtryarjtry wrote:
) If x, y and z are integers greater than 1, what is the value of x + y + z?
1) xyz = 70
2) x/yz = 7/10

Given : x,y,z are integers >1
(1)xyz=70 => xyz=5*7*2 => say 5,2,7 are values of x,y,z in any order
(2)x/yz =7/10 this can be any values for x,y,z say,
x=7,y=5,z=2 or x=14,y=5,z=4 hence x+y+z will change INSUFFI

IMO A
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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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22 Oct 2008, 11:54
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If integers x, y and z are greater than 1 what is the value of x + y + z ?

(1) xyz = 70
(2) x/yz = 7/10

[Reveal] Spoiler:
I got this right. but with 2nd statement. I went to only 10x = 7yz
is that the end of 2nd statement or we can drive something with that?

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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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22 Oct 2008, 11:58
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rishi2377 wrote:
If integers x, y and z are greater than 1 what is the value of x + y + z ?

A. xyz = 70
B. x/yz = 7/10

I got this right. but with 2nd statement. I went to only 10x = 7yz
is that the end of 2nd statement or we can drive something with that?

x,y,z >1

(1) xyz = 70 = 2*5*7 so we can find x+y+z

(2) $$\frac{x}{yz} = \frac{7}{10}$$

this just means x is a multiple of 7 and the product yz is a multiple of 10. We have no info to determine values of x,y and z.

A
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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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22 Oct 2008, 12:28
rishi2377 wrote:
If integers x, y and z are greater than 1 what is the value of x + y + z ?

A. xyz = 70
B. x/yz = 7/10

I got this right. but with 2nd statement. I went to only 10x = 7yz
is that the end of 2nd statement or we can drive something with that?

Thats where I stopped as well and figure that (7,2,5) and (14,2,10) satisfy the equation. B insuff

A is (2,5,7). good

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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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22 Oct 2008, 14:11
rishi2377 wrote:
If integers x, y and z are greater than 1 what is the value of x + y + z ?

A. xyz = 70
B. x/yz = 7/10

I got this right. but with 2nd statement. I went to only 10x = 7yz
is that the end of 2nd statement or we can drive something with that?

A

1. x+y+z = 14 - Sufficient
2. To many combinations - Not Sufficient

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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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23 Oct 2008, 00:25
rishi2377 wrote:
If integers x, y and z are greater than 1 what is the value of x + y + z ?

A. xyz = 70
B. x/yz = 7/10

I got this right. but with 2nd statement. I went to only 10x = 7yz
is that the end of 2nd statement or we can drive something with that?

This step may not be required.

x/yz = 7/2*5 = 14/4*5 = 14/2*10 = 28/4*10....and so on and hence there could be many values for x, y and z.

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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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23 Oct 2008, 01:17
[quote="rishi2377"]If integers x, y and z are greater than 1 what is the value of x + y + z ?

A. xyz = 70
B. x/yz = 7/10

the second statment provide a proportion as such it give endless combinations.

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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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05 Jan 2011, 08:29
xyz = 70
so the values could be 1 7 10
x+y+z = 18
if the values are 2 5 7
x+y+z =14
so a not sufficient

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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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05 Jan 2011, 08:40
anilnandyala wrote:
xyz = 70
so the values could be 1 7 10
x+y+z = 18

if the values are 2 5 7
x+y+z =14
so a not sufficient

"If x, y and z are integers greater than 1 ..."

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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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01 Mar 2011, 15:45
Bunuel, if the question states that x, y and z are greater then 1... then is ok to say that one of thoes is 1? as I read it , none of them can be one " GREATER THEN 1"???

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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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01 Mar 2011, 16:04
marijose wrote:
Bunuel, if the question states that x, y and z are greater then 1... then is ok to say that one of thoes is 1? as I read it , none of them can be one " GREATER THEN 1"???

Again: "If x, y and z are integers greater than 1 ..." So none of them is one.
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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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01 Mar 2011, 23:46
I was thinking that statement 1 is not sufficient until i factorized 70 in prime factors. So A it is.

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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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20 Oct 2013, 11:48
Bunuel,

The problem doesnt specifically state that the integers are unique or different. Is it possible for A to be insufficient as xyz to be 7*7*5 with a sum of 19 or the answer provided above with 2*5*7 and a sum of 14?

I'm assuming the variables need to be unique integer values, but this threw me off at first.

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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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20 Oct 2013, 11:51
affalcon12 wrote:
Bunuel,

The problem doesnt specifically state that the integers are unique or different. Is it possible for A to be insufficient as xyz to be 7*7*5 with a sum of 19 or the answer provided above with 2*5*7 and a sum of 14?

I'm assuming the variables need to be unique integer values, but this threw me off at first.

Notice that 7*7*5 = 245 not 70.
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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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20 Oct 2013, 11:55
Bunuel,
Yes, good correction. Obviously. For some reason I was thinking 7+7 = 14 and 14*5 = 70. Dumb mistake by me. Thank you!

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Re: If integers x, y and z are greater than 1 what is the value [#permalink]

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Re: If integers x, y and z are greater than 1 what is the value   [#permalink] 10 Jan 2015, 12:23

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