Last visit was: 21 Nov 2024, 09:26 It is currently 21 Nov 2024, 09:26

Close

GRE Prep 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 GRE 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
Verbal Expert
Joined: 18 Apr 2015
Posts: 30000
Own Kudos [?]: 36334 [19]
Given Kudos: 25923
Send PM
Most Helpful Community Reply
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12195 [10]
Given Kudos: 136
Send PM
General Discussion
Verbal Expert
Joined: 18 Apr 2015
Posts: 30000
Own Kudos [?]: 36334 [0]
Given Kudos: 25923
Send PM
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Own Kudos [?]: 373 [2]
Given Kudos: 64
GRE 1: Q160 V152
Send PM
If n = 9! – 6^4, which of the following is the greatest inte [#permalink]
2
\(9!=6*(3*2)*(4*9)*8*7*5*1\); \(9!=6^4*280\)
\(6^4(280-1)\) is divisible by 3 in both \(6^4\) and \(279\) factors
\((2*3)^4(9*31)\) divided by \(3^k\) results in \(k=6\) and answer is D
Carcass wrote:
If \(n = 9! – 6^4\), which of the following is the greatest integer k such that \(3^k\) is a factor of n ?

A. 1
B. 3
C. 4
D. 6
E. 8
avatar
Intern
Intern
Joined: 26 Oct 2024
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 2
Send PM
Re: If n = 9! 6^4, which of the following is the greatest inte [#permalink]
one alternative to the solution is to calculate it using calculator. Since 9! - 6^4 = 362880 , now keep trying different ways by dividing 362880 / (3^(options from the choices) )

Since its asking to give us largest number, we can start from 8 which is largest option and go above. If its fully divisible, it won't give us point. Therefore this way this will give us the answer
Prep Club for GRE Bot
Re: If n = 9! 6^4, which of the following is the greatest inte [#permalink]
Moderators:
GRE Instructor
83 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne