Largest possible value of x

This topic has expert replies
Source: — Problem Solving |

User avatar
Master | Next Rank: 500 Posts
Posts: 489
Joined: Tue Jul 05, 2011 11:10 am
Thanked: 28 times
Followed by:5 members

by gmatblood » Thu Nov 03, 2011 11:19 am
nidhis.1408 wrote:If X is a positive integer and (405) 4 is a multiple of 3X, what is the largest possible value of X?
(a) 5. (b) 12. (c) 16. (d) 20. (e) 26.
Is the question correct?
Any powers missing!!?

Master | Next Rank: 500 Posts
Posts: 135
Joined: Mon Oct 03, 2011 6:54 am
Followed by:4 members

by nidhis.1408 » Thu Nov 03, 2011 11:26 am
sorry i wrote it wrong. Its 405^5

Master | Next Rank: 500 Posts
Posts: 135
Joined: Mon Oct 03, 2011 6:54 am
Followed by:4 members

by nidhis.1408 » Thu Nov 03, 2011 11:26 am
405^4 :)

User avatar
Master | Next Rank: 500 Posts
Posts: 489
Joined: Tue Jul 05, 2011 11:10 am
Thanked: 28 times
Followed by:5 members

by gmatblood » Thu Nov 03, 2011 11:29 am
nidhis.1408 wrote:405^4 :)
Is 3X correct?

Master | Next Rank: 500 Posts
Posts: 135
Joined: Mon Oct 03, 2011 6:54 am
Followed by:4 members

by nidhis.1408 » Thu Nov 03, 2011 11:41 am
its also to the power 3^x

Legendary Member
Posts: 966
Joined: Sat Jan 02, 2010 8:06 am
Thanked: 230 times
Followed by:21 members

by shankar.ashwin » Thu Nov 03, 2011 11:49 am
405^4 = (3^4 * 5) ^ 4 = 3^16 * 5^4. C IMO