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# X, Y and Z are three positive prime integers

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Director
Joined: 08 Jul 2004
Posts: 596
X, Y and Z are three positive prime integers [#permalink]

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05 Aug 2004, 02:26
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Hi all
What is ur answer for this one:
X, Y and Z are three positive prime integers. What is the value of Y?

(1) The product XYZ is divisible by 4.

(2) X is an odd number.
Manager
Joined: 02 Jul 2004
Posts: 218

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05 Aug 2004, 05:16
(1) NS
can be XYZ = 2*2*3; Y = 2
can be XYZ = 2*3*2; Y = 3

(2) NS
can be XYZ = 3*3*3; Y = 3
can be XYZ = 3*5*5; Y = 5

(1) + (2) SUFF
at least 2 of the numbers X Y Z are equal to 2, otherwise (1) cannot be true
From (2) we get that Y and Z are these numbers

I am also in the UK now!
CIO
Joined: 09 Mar 2003
Posts: 463

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05 Aug 2004, 08:15
C.

1) If it's div by 4, then at least 2 of them are 2, but we don't know which ones.

2) If x is odd, they all could be either even or odd.

together) if 2 are the number 2, and x is odd, then y and z must be 2, so y is 2.
05 Aug 2004, 08:15
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