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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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VP
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Does p^2 = q if p is a prime number? (1) q^2 - p^2 = 0 (2) [#permalink]

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20 Nov 2005, 21:46
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Does p^2 = q if p is a prime number?

(1) q^2 - p^2 = 0
(2) p^2 = 49

Last edited by TeHCM on 21 Nov 2005, 23:47, edited 1 time in total.
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21 Nov 2005, 12:52
Does p^2 = q if p is a prime number?

(1) q^2 - p^2 = 0
q^2 =p^2
+/-q=+/-p
so q = +/- p but not p^2
so , q will never be equal to p^2,
suff

(2) p^2 = 49

No information about the value of q, so can't know whether p^2=q.
hence Insuff

A
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21 Nov 2005, 23:46
TeHCM wrote:
Does p^2 = q if p is a prime number?
(1) q^2 - p^2 = 0
(2) p^2 = 49
Sorry guys- I posted this in the wrong forum!

A. yes, if q^2=p^2 and p is a prime, then q = is never equal to q^2.
VP
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21 Nov 2005, 23:56
OA is A. Thanks everyone!
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22 Nov 2005, 00:39
(1) (q+p)(q-p) = 0, so q = p or q = -p
Case 1 and Case 2, p^2 = q^2. So p^2 != q. Statement 1 is sufficient.

(2) No information about q. Statement 2 is not sufficient.

Ans: A
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22 Nov 2005, 00:45
the key to answer this question is to know that 1 is not a prime number.

yup A is the OA.
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hey ya......

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22 Nov 2005, 22:49
Stupid question: are -2, -3, -5, -7 also prime numbers? Or must prime numbers always be positive?
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22 Nov 2005, 22:54
the rule book says 2 is the smallest prime number (apart from being the only even prime number). so i assume the remaining ones must be positive.
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22 Nov 2005, 22:56
GMATT73 wrote:
Stupid question: are -2, -3, -5, -7 also prime numbers? Or must prime numbers always be positive?

for gmat purpose, only +ves are primes.
22 Nov 2005, 22:56
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