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Find integers P and R. (1) P!=R! (2) R^3=|R

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SVP
SVP
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Joined: 03 Feb 2003
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Find integers P and R. (1) P!=R! (2) R^3=|R [#permalink] New post 31 Aug 2003, 11:10
Find integers P and R.

(1) P!=R!
(2) R^3=|R|
Manager
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 [#permalink] New post 31 Aug 2003, 15:26
I will go E.

(I) can be any integers such that P = R
(II) R can be 0 or 1
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Sept 3rd

Manager
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 [#permalink] New post 01 Sep 2003, 00:37
(2) => R=0 OR R=1
now, if R=0, by (1), P can be 0 or 1; if R=1, P can be 0 or 1
so P=0 or 1 and R=0 or 1
Senior Manager
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 [#permalink] New post 01 Sep 2003, 10:19
Doesn't change the answer, but don't forget -1

From (1): P=R=1,0 or -1
From (2): R=1 or 0

Combined: P=R=0 or 1

Still E
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 [#permalink] New post 05 Sep 2003, 09:01
E is correct; though, your approaches, guys, are sometimes partly wrong.

Start with (2)
(2) R= 0 or 1 not enough
(1) P=R>1 or [0, 1], or [1, 0], or [1, 1], or [0, 0] not enough

combine: [P, R] can be [0, 1], [1, 0], [1, 1], and [0, 0]
  [#permalink] 05 Sep 2003, 09:01
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Find integers P and R. (1) P!=R! (2) R^3=|R

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