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# Does P^2 = Q if P is a prime number? (1) Q^2 - P^2 = 0 (2)

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Joined: 22 Oct 2006
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Does P^2 = Q if P is a prime number? (1) Q^2 - P^2 = 0 (2) [#permalink]  12 Mar 2008, 07:59
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Does P^2 = Q if P is a prime number?

(1) Q^2 - P^2 = 0
(2) P^2 = 49
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Joined: 17 Nov 2007
Posts: 3578
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
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Re: DS - Prime Number [#permalink]  12 Mar 2008, 08:38
Expert's post
A

1. $$P^2 = Q^2$$ and $$P^2=Q$$. It is possible only if Q=1,0 and P=+/-1,0. But -1,0,1 is not a prime number. Therefore, 1 is sufficient: $$P^2 <> Q$$

2. nothing about Q (Q may be 49 or 50, for example). insufficient
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Re: DS - Prime Number   [#permalink] 12 Mar 2008, 08:38
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# Does P^2 = Q if P is a prime number? (1) Q^2 - P^2 = 0 (2)

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