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To me, this appears to be a YES & NO question.... is XY a mutiple of 105?uwhusky wrote:From the stimulus, X must contain factors of 2 and 3, and Y 2 and 7.
Multiple of 105 must contain factors of 5, 3, and 7, and we already know that XY contains factors of 3 and 7.
So before we even read (1) and (2), we should already know to look for any sign of X or Y containing factor of 5.
1) Insufficient, because we're still missing factor of 5.
2) Sufficient, Y contains at least 2 factors of 5.
Answer is B.
105 = 3*5*7gig92 wrote:If positive integer X is a multiple of 6 and positive integer Y is a mutiple of 14, is XY a mutiple of 105?
1) X is a mutiple of 9
2) Y is a multiple of 25
What do you think?
GMATGuruNY wrote:105 = 3*5*7gig92 wrote:If positive integer X is a multiple of 6 and positive integer Y is a mutiple of 14, is XY a mutiple of 105?
1) X is a mutiple of 9
2) Y is a multiple of 25
What do you think?
For xy to be a multiple of 105, it must be divisible by 3, 5 and 7.
x is a multiple of 6, so x is divisible by 2 and 3. Thus xy is divisible by 3.
y is a multiple of 14, so y is divisible by 2 and 7. Thus xy is divisible by 7.
What we don't know is whether xy is divisible by 5. The question becomes: Is x or y divisible by 5?
Statement 1:
No information about whether x or y is divisible by 5. Insufficient.
If x = 54 and y = 14, is x or y divisible by 5? No.
If x = 90 and y = 14, is x or y divisible by 5? Yes.
Statement 2:
If y is a multiple of 25, then y is divisible by 5.
Sufficient.
The correct answer is B.
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