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remainder problem how to solve?

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remainder problem how to solve?

by Castor.kim » Fri Nov 16, 2012 4:10 am
divide & remainder problem is one of my best area, but in this question, I give up!!

If r, s anad t have the same remainder when divided by 5,
what is the value of t?

1) r + s = t
2) 20 <= t <= 24

it has too much cases..
anyway, OA is C

somebody help!!
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Source: — Data Sufficiency |
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by Jim@StratusPrep » Fri Nov 16, 2012 7:31 am
Numbers that have the same remainder when divided by 5 - we only look at the one's digit:

0 and 5
1 and 6
2 and 7
3 and 8
4 and 9

1) Insufficient because of the numerous combinations
2) We know nothing about r and s

Together

If t = 20, then r and s can be 5 and 15 or 10 and 10
If T = 21 then r and s cannot both have a remainder of 1 and sum to 21
If T = 22 then r and s cannot both have a remainder of 2 and sum to 22
If T = 23 then r and s cannot both have a remainder of 3 and sum to 23
If T = 24 then r and s cannot both have a remainder of 4 and sum to 24

C
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