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 500,000 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:

Re: If n is a positive integer, how many of the ten digits from [#permalink]

Show Tags

08 Feb 2014, 12:43

Im also not completely sure about this one. But if you simply plug in values for ''n'' from 0 tot 9. This will show you that units digit can be 0,1,2,3,4,5,6,7,8,9 = 10. 0^3=0 , 1^3=1 , 2^3=8 , 3^3=27, 4^3=64, 5^3=125, 6^3=216, 7^3=343, 8^3=512, 9^3=729

These possibilities keep repeating themselves. _________________

Structural persistence is the key to succes . Party hard, study harder.

Still bashing, will continue to do so , although it's important to chill aswell ; ) STUDY+CHILL=VICTORY

Last edited by CarloCjm on 09 Feb 2014, 03:15, edited 1 time in total.

Re: If n is a positive integer, how many of the ten digits from [#permalink]

Show Tags

08 Feb 2014, 13:06

I did it exactly like carlocjm explained, in around 2 minutes. Keep in mind that you don't have to go through the whole multiplication process, just get the units digits and stop, since that's what we're concerned about. Also, for some numbers, you actually don't have to do manual stuff (5^3 is by heart 125, for example).

Re: If n is a positive integer, how many of the ten digits from [#permalink]

Show Tags

02 Apr 2014, 08:31

6

This post received KUDOS

Expert's post

3

This post was BOOKMARKED

Qoofi wrote:

Any one with a better solution for this?

If n is a positive integer, how many of the ten digits from 0 through 9 could be the units digits of n^3 ?

A. Three B. Four C. Six D. Nine E. Ten

The question is fairly straightforward, it basically asks: which digits can be the units digit of a perfect cube.

Can it be 0? Yes, 10^3=1,000. Can it be 1? Yes, 1^3=1. Can it be 2? Yes, 8^3=512. Can it be 3? Yes, 7^3=343. Can it be 4? Yes, 4^3=64. Can it be 5? Yes, 5^3=125. Can it be 6? Yes, 6^3=...6. Can it be 7? Yes, 3^3=27. Can it be 8? Yes, 2^3=8. Can it be 9? Yes, 9^3=...9.

Re: If n is a positive integer, how many of the ten digits from [#permalink]

Show Tags

13 Jun 2015, 14:13

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. _________________

Re: If n is a positive integer, how many of the ten digits from [#permalink]

Show Tags

02 Oct 2015, 14:44

CarloCjm wrote:

Im also not completely sure about this one. But if you simply plug in values for ''n'' from 0 tot 9. This will show you that units digit can be 0,1,2,3,4,5,6,7,8,9 = 10. 0^3=0 , 1^3=1 , 2^3=8 , 3^3=27, 4^3=64, 5^3=125, 6^3=216, 7^3=343, 8^3=512, 9^3=729

These possibilities keep repeating themselves.

You got to the right conclusion, but be careful: the question states n has to be a POSITIVE integer, therefore 0 is excluded. The 0 units digit comes from 10^3

gmatclubot

Re: If n is a positive integer, how many of the ten digits from
[#permalink]
02 Oct 2015, 14:44

Part 2 of the GMAT: How I tackled the GMAT and improved a disappointing score Apologies for the month gap. I went on vacation and had to finish up a...

Cal Newport is a computer science professor at GeorgeTown University, author, blogger and is obsessed with productivity. He writes on this topic in his popular Study Hacks blog. I was...

So the last couple of weeks have seen a flurry of discussion in our MBA class Whatsapp group around Brexit, the referendum and currency exchange. Most of us believed...