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Deux Digit Deduction II (Posted on 2015-03-12) Difficulty: 3 of 5
M denotes the duodecimal (base 12) number 12.

N= MM, P = NN and Q = PP

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.

No Solution Yet Submitted by K Sengupta    
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Solution last two digits in base 12 | Comment 2 of 4 |
    5   open "deuxded2.txt" for output as #2
   10   M=14
   20   N=modpow(M,M,144)
   30   P=modpow(N,N,144)
   40   Q=modpow(P,P,144)
   50   print #2,"p: ";P\12;P @ 12
   60   print #2,"q: ";Q\12;Q @ 12
   70   close #2

finds

p:  1  4 
q:  1  4 

so the last two digits of each of the base-12 numbers p and q are "14".


  Posted by Charlie on 2015-03-12 10:56:05
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