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Therefore, x =

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by sanju09 » Wed May 02, 2012 3:46 am
The product of 3 positive integers, x, y, and z is 105. All three integers are greater than 1. The product of a fourth integer w, and x is 36. Therefore, x =
(A) 2
(B) 3
(C) 5
(D) 12
(E) 18



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by mathbyvemuri » Wed May 02, 2012 3:50 am
It's 3
answer "B"
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by Anurag@Gurome » Wed May 02, 2012 4:01 am
sanju09 wrote:The product of 3 positive integers, x, y, and z is 105. All three integers are greater than 1. The product of a fourth integer w, and x is 36. Therefore, x =
(A) 2
(B) 3
(C) 5
(D) 12
(E) 18

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x * y * z = 105, where x, y , z > 1
w * x = 36

Now 105 = 3 * 5 * 7
and 36 = 2² * 3²
Now x cannot be 2 or 4, as prime factors of 105 does not contain 2 as its factor. This means x is 3.

The correct answer is B.
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