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Find an integer R. (1) (|R|)!=1 (2) |R|=R

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Himalayan
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Find an integer R. (1) (|R|)!=1 (2) |R|=R [#permalink] New post   13 May 2007, 21:39
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Find an integer R.

(1) (|R|)!=1
(2) |R|=R!



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Re: Find an integer R. (1) (|R|)!=1 (2) |R|=R [#permalink] New post   13 May 2007, 22:54
Himalayan wrote:
Find an integer R.

(1) (|R|)!=1
(2) |R|=R!


(C) it is

(1) => R can be 1 or -1 => insuff
(2) => R can be 1 or 2 => insuff

(1) & (2) => R = 1
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Re: Find an integer R. (1) (|R|)!=1 (2) |R|=R [#permalink] New post   13 May 2007, 23:38
kirakira wrote:
Himalayan wrote:
Find an integer R.

(1) (|R|)!=1
(2) |R|=R!


(C) it is

(1) => R can be 1 or -1 => insuff
(2) => R can be 1 or 2 => insuff

(1) & (2) => R = 1


(C) as well, I agree :)

To complete the stat 1 analysis, we have also R=0 as a possibility. 0! = 1 :)
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Re: Find an integer R. (1) (|R|)!=1 (2) |R|=R [#permalink] New post   13 May 2007, 23:40
Himalayan wrote:
kirakira wrote:
Himalayan wrote:
Find an integer R.

(1) (|R|)!=1
(2) |R|=R!


(1) => R can be 1 or -1 => insuff


why R is only 1 and -1?


1! = 1 and |1| = |-1| = 1 :)
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Re: Find an integer R. (1) (|R|)!=1 (2) |R|=R [#permalink] New post   13 May 2007, 23:47
Fig wrote:
kirakira wrote:
Himalayan wrote:
Find an integer R.

(1) (|R|)!=1
(2) |R|=R!


(C) it is

(1) => R can be 1 or -1 => insuff
(2) => R can be 1 or 2 => insuff

(1) & (2) => R = 1


(C) as well, I agree :)

To complete the stat 1 analysis, we have also R=0 as a possibility. 0! = 1 :)

In (2), isn't |R| = -R or R? If so, how can -R = R!. Can we "factorialize" a negative #? Same question w/stmnt. 1. Isn't (|R|) = (R) or (-R). I'm prob missing something.
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Re: Find an integer R. (1) (|R|)!=1 (2) |R|=R [#permalink] New post   13 May 2007, 23:51
ggarr wrote:
Fig wrote:
kirakira wrote:
Himalayan wrote:
Find an integer R.

(1) (|R|)!=1
(2) |R|=R!


(C) it is

(1) => R can be 1 or -1 => insuff
(2) => R can be 1 or 2 => insuff

(1) & (2) => R = 1


(C) as well, I agree :)

To complete the stat 1 analysis, we have also R=0 as a possibility. 0! = 1 :)

In (2), isn't |R| = -R or R? If so, how can -R = R!. Can we "factorialize" a negative #? Same question w/stmnt. 1. Isn't (|R|) = (R) or (-R). I'm prob missing something.


-ve integers do not have factorials.

in 1, R can be -1, 0 and 1.
C is correct.
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Re: Find an integer R. (1) (|R|)!=1 (2) |R|=R [#permalink] New post   13 May 2007, 23:53
ggarr wrote:
Fig wrote:
kirakira wrote:
Himalayan wrote:
Find an integer R.

(1) (|R|)!=1
(2) |R|=R!


(C) it is

(1) => R can be 1 or -1 => insuff
(2) => R can be 1 or 2 => insuff

(1) & (2) => R = 1


(C) as well, I agree :)

To complete the stat 1 analysis, we have also R=0 as a possibility. 0! = 1 :)

In (2), isn't |R| = -R or R? If so, how can -R = R!. Can we "factorialize" a negative #? Same question w/stmnt. 1. Isn't (|R|) = (R) or (-R). I'm prob missing something.


To me, I read this problem like this:

For 1: (|R|)! = 1
> (|1|)! = 1! = 1
> (|0|)! = 0! = 1
> (|-1|)! = 1! = 1

For 2: |R| = R!
> |1| = 1! = 1
> |2| = 2! = 2

We never have a factorization of a negative number :)
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Re: Find an integer R. (1) (|R|)!=1 (2) |R|=R [#permalink] New post   15 May 2007, 13:35
I am going with C..

R?

|R|!=1, well if R=0, |-1|, 1, the factorial of these numbers=1

|R|=R!, well if R=1, or 2..then we meet the requirement

now R! is positive..so which implies..R has to be positive..therefore

taking both statment 1) and 2) together we know R=1

C it is
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Re: Find an integer R. (1) (|R|)!=1 (2) |R|=R [#permalink] New post   19 May 2007, 22:29
Fig wrote:
kirakira wrote:
Himalayan wrote:
Find an integer R.

(1) (|R|)!=1
(2) |R|=R!


(C) it is

(1) => R can be 1 or -1 => insuff
(2) => R can be 1 or 2 => insuff

(1) & (2) => R = 1


(C) as well, I agree :)

To complete the stat 1 analysis, we have also R=0 as a possibility. 0! = 1 :)



you got C on completing this one. :lol:
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Re: Find an integer R. (1) (|R|)!=1 (2) |R|=R [#permalink] New post   19 May 2007, 23:01
Ya its C. |R|= -R or R. So stmnts 1 and 2 are insuff.

But together since they both have 1 as a value, then its true... Well thats how the Kaplan book explains these things.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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Re: Find an integer R. (1) (|R|)!=1 (2) |R|=R [#permalink]
19 May 2007, 23:01
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