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# If x, y, and z are positive integers and x<y<z, x=?

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BSchool Forum Moderator
Joined: 29 Jan 2015
Posts: 1423
Location: India
WE: General Management (Non-Profit and Government)
If x, y, and z are positive integers and x<y<z, x=?  [#permalink]

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23 Jan 2019, 05:39
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Difficulty:

55% (hard)

Question Stats:

57% (01:49) correct 43% (01:49) wrong based on 53 sessions

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If x, y, and z are positive integers and x<y<z, x=?

(1) The product of x, y, and z is odd.

(2) The sum of x, y, and z is less than 12.

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Director
Joined: 09 Mar 2018
Posts: 994
Location: India
Re: If x, y, and z are positive integers and x<y<z, x=?  [#permalink]

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23 Jan 2019, 06:51
rohan2345 wrote:
If x, y, and z are positive integers and x<y<z, x=?

(1) The product of x, y, and z is odd.

(2) The sum of x, y, and z is less than 12.

x, y, and z are positive integers and x<y<z

Statement 1) x*y*z is odd, this can only happen when they all are odd.
This doesn't give a unique value, out
1,3,5
3,5,7

Statement 2) The sum of x, y, and z is less than 12.
This doesn't give a unique value, out
1+2+3
1+3+5
2+4+5

Combination gives us an unique value as 1,3,5

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Re: If x, y, and z are positive integers and x<y<z, x=?  [#permalink]

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06 Mar 2019, 16:26
KanishkM wrote:
rohan2345 wrote:
If x, y, and z are positive integers and x<y<z, x=?

(1) The product of x, y, and z is odd.

(2) The sum of x, y, and z is less than 12.

x, y, and z are positive integers and x<y<z

Statement 1) x*y*z is odd, this can only happen when they all are odd.
This doesn't give a unique value, out
1,3,5
3,5,7

Statement 2) The sum of x, y, and z is less than 12.
This doesn't give a unique value, out
1+2+3
1+3+5
2+4+5

Combination gives us an unique value as 1,3,5

Just wanted to add something:

First Statement: The product of x, y, and z is odd.
It simply states that x,y, and z all are odd. so not sufficient.

Second Statement: The sum of x, y, and z is less than 12.
so there are 1+3+5 and 1+3+7. So statement 2 is not giving a unique combination of values but it definitely gives a unique value of x. that's why the answer is C
Re: If x, y, and z are positive integers and x<y<z, x=?   [#permalink] 06 Mar 2019, 16:26
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# If x, y, and z are positive integers and x<y<z, x=?

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