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# Is rs = rx − 2 ?

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Senior Manager
Joined: 10 Jul 2013
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Is rs = rx − 2 ? [#permalink]

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21 Aug 2013, 17:51
00:00

Difficulty:

45% (medium)

Question Stats:

63% (01:16) correct 37% (01:13) wrong based on 92 sessions

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Is rs = rx − 2 ?

(1) r is an odd number
(2) x = s + 2
[Reveal] Spoiler: OA

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Asif vai.....

Kudos [?]: 426 [0], given: 102

Math Expert
Joined: 02 Sep 2009
Posts: 42247

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Re: Is rs = rx − 2 ? [#permalink]

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22 Aug 2013, 02:58
Is rs = rx − 2 ?

Is $$rs = rx-2$$? --> is $$r(x-s)=2$$?

(1) r is an odd number. Not sufficient: consider r=1 and x-s=2 AND r=1 and x-s=3.

(2) x = s + 2 -->$$x-s=2$$ --> the question becomes: is $$r=1$$? We don't know that. Not sufficient.

(1)+(2) From (2) the question became: is $$r=1$$? and (1) says that r=odd, but we don't know whether it's 1 or any other odd number. Not sufficient.

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Re: Is rs = rx − 2 ? [#permalink]

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22 Aug 2013, 04:04
Asifpirlo wrote:
Is rs = rx − 2 ?

(1) r is an odd number
(2) x = s + 2

rs = rx − 2 can be restated as
r(x-s) = 2 -----(1)

Statement 1
r is odd, Still we don't know the value of (x-s).
Thus Insufficient

Statement 2
This is very tempting option for many of us.
(x-s)=2.
we don't know the value of r.
Thus Insufficient

Statement 1& 2
r= odd (can take any odd value 1, 3, 5 etc)
(x-s)=2.
r(x-s) will equal 2 only if r=1. But we don't know value of r for sure
Thus Insufficient

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Re: Is rs = rx − 2 ? [#permalink]

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17 Mar 2016, 18:44
Asifpirlo wrote:
Is rs = rx − 2 ?

(1) r is an odd number
(2) x = s + 2

almost tricked me...
rs=rx-2?
2=rx-rs?
2=r(x-s)?

1. r is odd.
if r=1 and r-s =2 then yes.
if r=3 and r-s=2, then no.
A and D out.

2. x=s+2
x-s=2.
if r=1 then yes, if r=3 then no.
B is out.

1+2
we know x-s = 2. and we need to make sure that r is 1. since we cannot clearly say that r=1, C is out and the answer is E.

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Re: Is rs = rx − 2 ?   [#permalink] 17 Mar 2016, 18:44
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