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# If x is a positive integer and x ≤ 30, what is the

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SVP
Joined: 16 Oct 2003
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If x is a positive integer and x ≤ 30, what is the [#permalink]  28 Dec 2005, 08:07
If x is a positive integer and x ≤ 30, what is the value of x?
(1) x can be written as the product of 3 different prime numbers each of which is greater than or equal to 2.
(2) x is divisible by 3 and 5.
Director
Joined: 17 Dec 2005
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Location: Germany
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I use to be very cautios with questions in this forum, because nearly all of them are tricky.

But I don't see any trick here...so

1) The only three different prime numbers greater or equal to 2, whose product is less or equal to 30 are 2,3,5.
We can conclude that x is 30

Sufficient

2) x can be 15 or 30, we cannot say exactly, thus insufficient

I vote for A
Manager
Joined: 24 Oct 2005
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Vote for A from myside too

From A, we can get the prime numbers as 2,3 & 5 and their product is 30. So X is 30. A--> Sufficient.

From B, we get 2 numbers, 15 & 30.. Insufficient.
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