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.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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full solution

| Comment 1 of 4

M=14

By examining the cycles of powers mod 100,

N=16 , P = 16 and Q = 16

Posted by Ady TZIDON on 2015-03-12 10:33:45

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