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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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Senior Manager
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Does p^2=q if p is a prime number? 1. q^2-p^2=0 2. p^2=49 [#permalink]  24 Jul 2005, 06:04
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Does p^2=q if p is a prime number?
1. q^2-p^2=0
2. p^2=49
Senior Manager
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Posts: 375
Location: India
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Re: DS - prime number [#permalink]  25 Jul 2005, 10:38
Dilshod wrote:
Does p^2=q if p is a prime number?
1. q^2-p^2=0
2. p^2=49

Picked A.

Using (1) p^2 = q^2.
we know that q^2 = q only when q = 0 or 1.
Since q is the sqaure of a prime number q cannot be either.
Hence p^2 != q.

HMTG.
Current Student
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A

the number is is either 0 or 1....

which is not a prime number....
Senior Manager
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A

P^2-q^2=0 and p is prime (=> p != 1)
therefore p^2 != q
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Re: DS - prime number [#permalink]  26 Jul 2005, 11:52
Dilshod wrote:
Does p^2=q if p is a prime number?
1. q^2-p^2=0
2. p^2=49

I'm getting (E) on this.

From Statement 1:
q^2-p^2 can be written as (p-q)(p+q) = 0
which means that p-q=0 or p+q=0
meaning that p=q or p=-q

From Statement 2:
p may be 7 or -7 (we don't know q but p is a prime no)

Combine: does not work.
Senior Manager
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Does p^2=q ?

not whether p = q ?
Director
Joined: 05 Jan 2005
Posts: 561
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qpoo wrote:

Does p^2=q ?

not whether p = q ?

Oh now i see. And it says P is a prime no, so P cannot be 1. It's (A) then. Definite 'No' answer. thanks.
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