Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Hi, I was was not satisfied with the explanation given from the Official Guide for this question. Please let me know if there are alternative techniques to solve this:

If s and t are positive intergers sug that s/t = 64.12, which of the following could be the remainder when s is dividted by t ?

a. 2 b. 4 c. 8 d. 20 e. 45

Note: Positive integer \(a\) divided by positive integer \(d\) yields a reminder of \(r\) can always be expressed as \(a=qd+r\), where \(q\) is called a quotient and \(r\) is called a remainder, note here that \(0\leq{r}<d\) (remainder is non-negative integer and always less than divisor).

So, "s divided by t gives remainder r" can be expressed by the following formula: \(s=qt+r\), in or case as \(\frac{s}{t}=64.12\) then \(q=64\), --> \(s=64t+r\), divide both parts by \(t\) --> \(\frac{s}{t}=64+\frac{r}{t}\) --> \(64.12=64+\frac{r}{t}\) --> \(0.12=\frac{r}{t}\)--> \(\frac{3}{25}=\frac{r}{t}\) so \(r\) must be the multiple of 3. Only answer multiple of 3 is 45.

Or: \(\frac{s}{t}=64\frac{12}{100}=64\frac{3}{25}\), so if the divisor=t=25 then the remainder=r=3. Basically we get that divisor is a multiple of 25 and the remainder is a multiple of 3. Only answer multiple of 3 is 45.

Hi, I was was not satisfied with the explanation given from the Official Guide for this question. Please let me know if there are alternative techniques to solve this:

If s and t are positive intergers sug that s/t = 64.12, which of the following could be the remainder when s is dividted by t ?

a. 2 b. 4 c. 8 d. 20 e. 45

When we say \(\frac{s}{t} = 64.12 = 64 \frac{12}{100} = 64 \frac{3}{25}\) We get \(\frac{s}{t} = 64 \frac{3}{25}\) What does the mixed fraction of the right hand side signify? It signifies that s > t and when s is divided by t, we get 64 as quotient and 3 as remainder if t is 25.

e.g. \(\frac{13}{5} = 2 \frac{3}{5}\). Here, remainder is 3 \(\frac{130}{50} = 2 \frac{30}{50}\). Here remainder is 30. \(\frac{26}{10} = 2 \frac{6}{10}\). Here remainder is 6. So in our question, the remainder will be 3 or any multiple of 3. 45 is the only multiple of 3. _________________

anshumishra....thanks for the hint. i feel better now.

Great ! I am happy that it helped.

Here is another similar problem. Try to solve yourself first.

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

Ans: E 0.12 = 12/100 = r/t => t = 100*r/12 (where r & t are both integers) Only E has the integral soln.

Thanks

Let me put it in a better way.

reminder \(R = 12t/100\) ==> \(12t/100\) is an integer ==> \(3t/25\) is an integer ==> \(3t/5^2\) is an integer note that 3 and 5 are prime #s ==> t has to be a multiple of 5^2 for the reminder to be an integer and the reminder has to be a multiple of 3 as the prime # 3 presents in the numerator.

The only mupltiple of 3 in the answers choices is 45 i.e E.

Hi, I was was not satisfied with the explanation given from the Official Guide for this question. Please let me know if there are alternative techniques to solve this:

If s and t are positive intergers sug that s/t = 64.12, which of the following could be the remainder when s is dividted by t ?

a. 2 b. 4 c. 8 d. 20 e. 45

When we say \(\frac{s}{t} = 64.12 = 64 \frac{12}{100} = 64 \frac{3}{25}\) We get \(\frac{s}{t} = 64 \frac{3}{25}\) What does the mixed fraction of the right hand side signify? It signifies that s > t and when s is divided by t, we get 64 as quotient and 3 as remainder if t is 25.

e.g. \(\frac{13}{5} = 2 \frac{3}{5}\). Here, remainder is 3 \(\frac{130}{50} = 2 \frac{30}{50}\). Here remainder is 30. \(\frac{26}{10} = 2 \frac{6}{10}\). Here remainder is 6. So in our question, the remainder will be 3 or any multiple of 3. 45 is the only multiple of 3.

Hi, I was was not satisfied with the explanation given from the Official Guide for this question. Please let me know if there are alternative techniques to solve this:

If s and t are positive intergers sug that s/t = 64.12, which of the following could be the remainder when s is dividted by t ?

a. 2 b. 4 c. 8 d. 20 e. 45

When we say \(\frac{s}{t} = 64.12 = 64 \frac{12}{100} = 64 \frac{3}{25}\) We get \(\frac{s}{t} = 64 \frac{3}{25}\) What does the mixed fraction of the right hand side signify? It signifies that s > t and when s is divided by t, we get 64 as quotient and 3 as remainder if t is 25.

e.g. \(\frac{13}{5} = 2 \frac{3}{5}\). Here, remainder is 3 \(\frac{130}{50} = 2 \frac{30}{50}\). Here remainder is 30. \(\frac{26}{10} = 2 \frac{6}{10}\). Here remainder is 6. So in our question, the remainder will be 3 or any multiple of 3. 45 is the only multiple of 3.

Hi,

In this if the remainder is 45 then the Divisor will be 25*15 right?

Re: If s and t are positive integers such that s/t = 64.12 which [#permalink]
03 Sep 2014, 11:14

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Back to hometown after a short trip to New Delhi for my visa appointment. Whoever tells you that the toughest part gets over once you get an admit is...