It is currently 15 Dec 2018, 04:11
My Tests

Close

GMAT Club Daily Prep

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.

Pedro has a number cube with 24 faces and an integer between

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

CAT Tests
Pedro has a number cube with 24 faces and an integer between [#permalink] New post 05 Aug 2018, 14:30
Expert's post
00:00

Question Stats:

100% (00:38) correct 0% (00:00) wrong based on 4 sessions
Pedro has a number cube with 24 faces and an integer between 1 and 24 on each face. Every number is featured exactly once. When he rolls, what is the probability that the number showing is a factor of 24?

Give your answer as a fraction.

[Reveal] Spoiler: OA
\(\frac{1}{3}\)

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

CAT Tests
Re: Pedro has a number cube with 24 faces and an integer between [#permalink] New post 07 Aug 2018, 16:55
Expert's post
Explanation

Probability equals the number of desired outcomes divided by the total number of possible outcomes. Among the integers 1 through 24, there are four factor pairs of 24: (1, 24), (2, 12), (3, 8), and (4, 6), for a total of 8 factors. The total number of possible outcomes when rolling the cube once is 24. The probability that the number chosen is a factor of 24 is \(\frac{8}{24}=\frac{1}{3}\).
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

1 KUDOS received
Intern
Intern
Joined: 26 Aug 2017
Posts: 31
Followers: 0

Kudos [?]: 17 [1] , given: 7

Re: Pedro has a number cube with 24 faces and an integer between [#permalink] New post 25 Aug 2018, 00:18
1
This post received
KUDOS
This question seems flawed to me. Note the word 'between' - that implies the numbers 1 and 24 should not be included. BUT there are 24 faces, so I'm assuming the word 'inclusive' was missed out.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

CAT Tests
Re: Pedro has a number cube with 24 faces and an integer between [#permalink] New post 25 Aug 2018, 00:20
Expert's post
jezzsk8 wrote:
This question seems flawed to me. Note the word 'between' - that implies the numbers 1 and 24 should not be included. BUT there are 24 faces, so I'm assuming the word 'inclusive' was missed out.


I think you have a valid point it should have been 1 and 24 inclusive.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

1 KUDOS received
Intern
Intern
Joined: 17 Sep 2017
Posts: 21
Followers: 1

Kudos [?]: 14 [1] , given: 3

Re: Pedro has a number cube with 24 faces and an integer between [#permalink] New post 25 Aug 2018, 04:44
1
This post received
KUDOS
I think the systematic approach to find the number of factors of an integer is to first do prime factorization of the number, add 1 to each power of the prime numbers and compute their product (the number of factors is equal to the product). E.g. 24=2^3x3 => number of factors = (3+1)(1+1)=8.
Re: Pedro has a number cube with 24 faces and an integer between   [#permalink] 25 Aug 2018, 04:44
Display posts from previous: Sort by

Pedro has a number cube with 24 faces and an integer between

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.