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

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17 Jan 2013, 12:53

hey would someone rephrase whole of point number 4) Cycle of powers...am failing to understand,especially with the sub points from 2 to 10,what is happening over there..would sbdy pls explain to me with an impeccable explaination.

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

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24 Jul 2013, 10:16

Ponit 5 and 6 can be simplified to the following non-formula approach

if x and y and two integer and they are divided by the same no. then you can multiply the remainder of two or more integers directly and then divide the product of the remainders by the divisor to get the reminder for the product of the integers.

e.g if x leaves a remainder 5 upon division by 9 and y leaves a reminder 7 upon division by 9 then x will leave the remainder 7*5/9 (multiply the reminders and then divide by 9). which is 8

similarly

remainders can be added and subtracted directly if the divisor of two or more integers is the same.

e.g if x leaves a remainder 5 on division by 8 and y leaves a remainder 6 on division by 8 then X-Y will leave remainder 5-6/8=-1/8 will leave a remainder of 7. simply subtract the remainders and then divide by the divisor.

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

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15 Apr 2014, 22:53

Great Post Loved it. I have major problem in solving reminder problems. Shriharimurthy, Can you please explain tip 4, 5 and 6 with better examples. I mean little more complicated examples please. Like GMAT questions.

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

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25 Sep 2016, 11:21

sriharimurthy wrote:

Quote:

Could you, please, explain the solution? I didn't get it.

I found out that the remaider is 3; should we just pick up the answer to get multiple of 3?

Hi Shelen,

In the question, it is given that s/t = 64.12

Thus, we know that the remainder in decimal format will be 0.12 (Note : Do not make the mistake of considering it to be 12. It is 0.12)

Now, we know that the answer should be a multiple of 0.12 since 'the remainder of s/t' will be equal to 'the remainder of s/t in decimal format' multiplied by 't'.

That is, R of (s/t) = 0.12*t ----> which is a multiple of 0.12 for all the positive integer values that 't' can hold.

Now, in order to make the calculation simpler, we can multiply both sides of the equation by 100.

R*100 = 12*t --> t = (R*100)/12

Now, since it is given that 't' is a positive integer, (R*100) has to be perfectly divisible by 12.

Thus look through the answer choices to see which one satisfies this condition.

You will find that R = 45 will be the only one that satisfies it, since 4500 is perfectly divisible by 12.

Therefore answer is choice (E) which is 45.

I did this with different approach. s/t= 64.12 = 6412/100= 1603/25 =>Remainder= 3

=> Correct answer should be a multiple of 3. Only choice (E)45 is multiple of 3 Hence (E)

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

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25 Feb 2017, 08:43

Thank you so much for this post it's extremely helpful!

I'm trying to grasp #5 and #6 but am having trouble understanding how to use this formula. Could someone post an example question where this formula can be used?

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

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01 Jun 2017, 09:36

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

Another way to solve this problem : s/t =64.12 take the decimal part .12 ------> 12/100 ----- > 3/25 (numerator will be the remainder. So, 3 is remainder) answer will be either 3 or multiple of 3.... i.e 45

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

Another way to solve this problem : s/t =64.12 take the decimal part .12 ------> 12/100 ----- > 3/25 (numerator will be the remainder. So, 3 is remainder) answer will be either 3 or multiple of 3.... i.e 45

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