Gmat Prep exam question

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Gmat Prep exam question

by Fab_Vr6 » Tue Jun 19, 2007 4:12 pm
If n is a multiple of 5 and n=p^2 * Q, where p and Q are prime numbers, which of the following must be a multiple of 25?

1) P^2
2)Q^2
3)P^2 * Q
4)P^2 * Q^2
5) P^3 * Q

I couldn't understand how to solve this.

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by givemeanid » Tue Jun 19, 2007 4:35 pm
Since p and q are prime and n is a multiple of 5, either p is 5 or q is 5.

That means only p^2 * q*2 will be a multiple of 25.

Answer is D.