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X, Y and Z are three positive integers such that the least common mult

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X, Y and Z are three positive integers such that the least common mult  [#permalink]

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New post 17 Mar 2019, 11:48
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Difficulty:

  35% (medium)

Question Stats:

82% (01:54) correct 18% (01:51) wrong based on 11 sessions

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X, Y and Z are three positive integers such that the least common multiple of X & Y is 12, while the least common multiple of Y & Z is 18. Which of the following could be the value of Y?

I) 6
II) 9
III) 3
IV) 4

A. III only
B. IV only
C. I and III only
D. III and IV only
E. I and III and IV only
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Re: X, Y and Z are three positive integers such that the least common mult  [#permalink]

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New post 17 Mar 2019, 23:22
amanvermagmat wrote:
X, Y and Z are three positive integers such that the least common multiple of X & Y is 12, while the least common multiple of Y & Z is 18. Which of the following could be the value of Y?

I) 6
II) 9
III) 3
IV) 4

A. III only
B. IV only
C. I and III only
D. III and IV only
E. I and III and IV only




X*Y =12 ; 2^2 * 3 or 6*2
Y*Z= 18 ; 3^2*2 or 6*3

so value of y = 6 or 3
IMO C
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Re: X, Y and Z are three positive integers such that the least common mult   [#permalink] 17 Mar 2019, 23:22
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X, Y and Z are three positive integers such that the least common mult

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