perplexus.info :: Just Math : Deux Digit Deduction II

Deux Digit Deduction II (Posted on 2015-03-12)

M denotes the duodecimal (base 12) number 12.

N= M^M, P = N^N and Q = P^P

Find the respective last two digits of P and Q.

*** For an extra challenge, solve this puzzle by using a non-computer program assisted method.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The last two digits of each of the base-12 numbers P and Q are "14".
For an explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: decimal represEntation ????	Ady TZIDON	2015-03-12 14:14:22
decimal represantation	Ady TZIDON	2015-03-12 14:11:40
last two digits in base 12	Charlie	2015-03-12 10:56:05
full solution	Ady TZIDON	2015-03-12 10:33:45

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info