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# If p+q=r+s and p and q are positive, which of the following

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Senior Manager
Joined: 14 Jul 2006
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If p+q=r+s and p and q are positive, which of the following [#permalink]  19 Aug 2006, 08:58
If p+q=r+s and p and q are positive, which of the following statements COULD BE wrong?
(A) (p-r)^2=(s-q)^2
(B) 10+p+q=r+s+10
(C) (p+q)^2=(r+s)^2
(D) p-r=s-q
(E) p^2 + q^2 = r^2 + s^2

I chose A, D ,E since if P+Q=R+S= 6+3=1+8 the 3 choices could be wrong but according to the question bank the OA is E

Reference Key: E
Senior Manager
Joined: 05 Mar 2006
Posts: 348
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E is correct.

In your example if (p,q) = (6,3) and (r,s) = (1,8) try plugging in the correct number to the variable in the equations for A and D.
Senior Manager
Joined: 14 Jul 2006
Posts: 281
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Kudos [?]: 0 [0], given: 0

Oh my god my mistake careless sorry
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