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# If either r or s is not divisible by 3, in which cases will

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Intern
Joined: 19 Jan 2009
Posts: 22
If either r or s is not divisible by 3, in which cases will [#permalink]

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19 Jan 2009, 03:15
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If either r or s is not divisible by 3, in which cases will r+s be divisible by 3? any insights?
Manager
Joined: 27 May 2008
Posts: 198
Re: number properties - tweaking DS45 OG10 [#permalink]

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19 Jan 2009, 08:24
every third term in the number is divisible by 3.

1,2,3,4,5,6,7,8,9,10,11,12

So if r falls in 2nd term and s falls in first term( Also vice versa)...... (Not sure falls in is a proper idiom )

r+s will be divisible 3

for example --> r = 2 and s =1
Senior Manager
Joined: 23 May 2008
Posts: 394
Re: number properties - tweaking DS45 OG10 [#permalink]

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20 Jan 2009, 03:11
take any values suppose...

r=1 and s=8 both of them are not divisible by 3 independently..........

but r+s = 9 which is divisible by 3........likewise you can take different values and test
Manager
Joined: 05 Jul 2008
Posts: 135
GMAT 2: 740 Q51 V38
Re: number properties - tweaking DS45 OG10 [#permalink]

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20 Jan 2009, 03:21
jairus wrote:
If either r or s is not divisible by 3, in which cases will r+s be divisible by 3? any insights?

In case the remainder when r and s are divided by 3 are 1 and 2.
Intern
Joined: 19 Jan 2009
Posts: 22
Re: number properties - tweaking DS45 OG10 [#permalink]

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20 Jan 2009, 11:01
DavidArchuleta wrote:
jairus wrote:
If either r or s is not divisible by 3, in which cases will r+s be divisible by 3? any insights?

In case the remainder when r and s are divided by 3 are 1 and 2.

Thanks everybody.

OG's explanation seems to say that there can be a case when if either r or s are not divisible by three, r + s might be divisible by three.
I can't find any, because we need r and s to be div. by 3 for the sum to retain the divisibility by three, unless r and s are decimals (eg.: 1,5 + 7,5 = 9)
Re: number properties - tweaking DS45 OG10   [#permalink] 20 Jan 2009, 11:01
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