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2@#6 IF @ and # each represent single digits in the decimal

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Joined: 25 Oct 2008
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Location: Kolkata,India
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2@#6 IF @ and # each represent single digits in the decimal [#permalink]  05 Jul 2009, 21:01
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3.2@#6

IF @ and # each represent single digits in the decimal above,what digit does @ represent??
1. when the decimal is rounded to the nearest tenth,3.2 is the result.
2. when the decimal is rounded to the nearest hundreth,3.24 is the result.

I got the answer as correct(e) but the whole concept of rounding is a bit shaky.Could somebody please treat this question as the "lesson for rounding" or "indepth analysis into decimals" or whatever and explain the A-Z of the concept??

thanks!!
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Joined: 23 Jun 2009
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Schools: UPenn, UMich, HKS, UCB, Chicago
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Re: og 11 ds#35 [#permalink]  05 Jul 2009, 23:19
I can give some examples.
3,239 rounded to nearest 100th it becomes 3,24
3,236 rounded to nearest 100th it becomes 3,24
3,233 rounded to nearest 100th it becomes 3,23
3,241 rounded to nearest 100th it becomes 3,24
3,244 rounded to nearest 100th it becomes 3,24
3,2449 rounded to nearest 100th it becomes 3,24
3,245 rounded to nearest 100th it becomes 3,25
i.e. if the number thats first digit after the digit we want to round to is greater than or equal to 5, than we round up, else we round down.
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Re: og 11 ds#35 [#permalink]  13 Jul 2009, 10:31
I am confused,why is B not an option ?

Quote:
3.2@#6

IF @ and # each represent single digits in the decimal above,what digit does @ represent??
1. when the decimal is rounded to the nearest tenth,3.2 is the result.
2. when the decimal is rounded to the nearest hundreth,3.24 is the result.

I understand that @ depends on # .

But when B says after it is rounded the value is 3.24 then why cant I say @ is 4 ? or does the question mean what is the value of @ before rounding ?

Re: og 11 ds#35   [#permalink] 13 Jul 2009, 10:31
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