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Re: Compilation of tips and tricks to deal with remainders. [#permalink]

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25 May 2010, 04:40

can you plz explain how to find remainder of the fractions that result in a recurring decimal? eg. 7/3 = 2.33333 Therefore,is the remainder 3* 0.3333333 = 0.6666666??

will we then consider the answer to be a multiple of 0.67?

Re: Compilation of tips and tricks to deal with remainders. [#permalink]

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04 Aug 2010, 19:05

Remainders was giving me a lot of trouble, this was very helpful.

5 and 6 isn't intuitive, but essentially you're breaking it down into small pieces (stripping away the multiples of N) to get the remainder. If you work through real numbers both this way and the long way, it might be more helpful, especially if you break down the x and y into factors.
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Re: Compilation of tips and tricks to deal with remainders. [#permalink]

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23 Mar 2011, 07:09

Hi Guys,

I've a question regarding the following point (point number 3) mentioned in the topic " Compilation of tips and tricks to deal with remainders":

If a number leaves a remainder ‘r’ (the number is the divisr) all its factors will have the same remainder ‘r’ provided the value of ‘r’ is less than the value of the factor. If the value of ‘r’ is greater than the value of the factor, then we have to take the remainder of ‘r’ divided by the factor to get the remainder.

For example: 1044/33...........remainder is 21

As per my understanding, the factors of 33 i.e 3 and 11 should have the same remainder...

Since the remainder is greater than the factors, the remainder wud be 21/3 (reaminder is 0) and 21/11 (remainder is 10)....the two remainders (o and 10) r diffferent..Can someone pls explain this..is my understanding rite?

Re: Compilation of tips and tricks to deal with remainders. [#permalink]

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24 Mar 2011, 09:37

anuu wrote:

Hi Guys,

I've a question regarding the following point (point number 3) mentioned in the topic " Compilation of tips and tricks to deal with remainders":

If a number leaves a remainder ‘r’ (the number is the divisr) all its factors will have the same remainder ‘r’ provided the value of ‘r’ is less than the value of the factor. If the value of ‘r’ is greater than the value of the factor, then we have to take the remainder of ‘r’ divided by the factor to get the remainder.

For example: 1044/33...........remainder is 21

As per my understanding, the factors of 33 i.e 3 and 11 should have the same remainder...

Since the remainder is greater than the factors, the remainder wud be 21/3 (reaminder is 0) and 21/11 (remainder is 10)....the two remainders (o and 10) r diffferent..Can someone pls explain this..is my understanding rite?

Regards, Anu

33 and factors of 33 will have the same remainder provided the remainder is not greater than any of the factors.

If any of the factors of the divisor (33) are smaller than the remainder of 21, those factors will have different remainders.

Your understanding of how to calculate the remainders for smaller factors is correct.

Re: Compilation of tips and tricks to deal with remainders. [#permalink]

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24 Apr 2011, 11:08

sriharimurthy wrote:

h2polo wrote:

Here is another important property about reminders that everyone should understand:

If you take the decimal portion of the resulting number when you divide by "n", and multiply it to "n", you will get the remainder.

For example, 8/5 = 1.6

.6 * 5 = 3

Therefore, the remainder is 3.

This is important to understand for problems like the one below:

If s and t are positive integer such that s/t=64.12, which of the following could be the remainder when s is divided by t? (A) 2 (B) 4 (C) 8 (D) 20 (E) 45

Good one h2polo.. Added it to the list.

+1 to you!

surely helpful! +1
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“Sure I am this day we are masters of our fate, that the task which has been set before us is not above our strength; that its pangs and toils are not beyond our endurance. As long as we have faith in our own cause and an unconquerable will to win, victory will not be denied us.” - Winston Churchill

Re: Compilation of tips and tricks to deal with remainders. [#permalink]

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06 May 2011, 00:29

hi thanks a lot for these tips on remainders. Kudos to u. I like the way u easily solved the 2 Remainder questions in some other posts. Could you also provide the links where you have solved questions involving the cycle of powers so as to get a better idea of that too.

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