Last visit was: 14 Dec 2024, 06:33 It is currently 14 Dec 2024, 06:33
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.
Close
Request Expert Reply
Confirm Cancel
avatar
naumyuk
Joined: 29 Apr 2015
Last visit: 19 Sep 2018
Posts: 22
Own Kudos:
387
 []
Given Kudos: 1
Location: Russian Federation
GMAT 1: 710 Q48 V38
GPA: 4
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
chetan2u
User avatar
RC & DI Moderator
Joined: 02 Aug 2009
Last visit: 14 Dec 2024
Posts: 11,434
Own Kudos:
38,038
 []
Given Kudos: 333
Status:Math and DI Expert
Products:
Expert reply
Posts: 11,434
Kudos: 38,038
 []
2
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
ashikaverma13
Joined: 19 Aug 2016
Last visit: 24 Jan 2019
Posts: 127
Own Kudos:
Given Kudos: 59
Location: India
GMAT 1: 640 Q47 V31
GPA: 3.82
Products:
GMAT 1: 640 Q47 V31
Posts: 127
Kudos: 318
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Mo2men
Joined: 26 Mar 2013
Last visit: 09 May 2023
Posts: 2,453
Own Kudos:
Given Kudos: 641
Concentration: Operations, Strategy
Schools: Erasmus (II)
Products:
Schools: Erasmus (II)
Posts: 2,453
Kudos: 1,409
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ashikaverma13


I am sorry I am slightly confused with the explanation. As far as my understanding goes, if the denominator has any other prime number in prime factorisation other than 2 and 5 and if that prime number can be cancelled with the numerator, then the fraction is terminating, otherwise not.

Here, the numerator is >or = to 5 i.e. it could also be 6 or 9 or 12 and those cases the 3 in the denominator will get cancelled. Therefore, there is no way to know what the value of r could be. Hence, my answer was E.

Kindly explain.


The prompt says that r is PRIME number. So it can't be 6 or 9 or 12.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 14 Dec 2024
Posts: 97,874
Own Kudos:
Given Kudos: 88,270
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,874
Kudos: 685,759
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ashikaverma13
chetan2u
naumyuk
If r is a prime number and s is a positive integer, is a \(\frac{r^3}{c}\) terminating decimal?


(1) r \(\geq\) 5
(2) s = 75

Editing your Q as in present state answer is E..
c in \(\frac{r^3}{c}\) must be 's'..

so we have to find if \(\frac{r^3}{s}\) is a terminating decimal...
the value depends on the denominator in its simplified form..

lets see the statements..

(1) r \(\geq\) 5
it just tell us that r cannot br 2 and 3 nothing else..
insuff

(2) s = 75
the denominator is 75...
if the numerator is 3 it will be a terminating decimal, otherwise not...
insuff..

combined we know numerator does not have 3, so it will not be a terminating decimal, as we have 3 in denominator..
suff
C


I am sorry I am slightly confused with the explanation. As far as my understanding goes, if the denominator has any other prime number in prime factorisation other than 2 and 5 and if that prime number can be cancelled with the numerator, then the fraction is terminating, otherwise not.

Here, the numerator is >or = to 5 i.e. it could also be 6 or 9 or 12 and those cases the 3 in the denominator will get cancelled. Therefore, there is no way to know what the value of r could be. Hence, my answer was E.

Kindly explain.

Notice that we are told that r is a prime number, so it cannot be any multiple of 3 apart from 3 itself but r = 3 is ruled out with the first statement.
Moderator:
Math Expert
97874 posts