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 By Jove, we're leaving (I think)! (Posted on 2011-03-17)
The inhabitants of Ganymede are all infamous for being either knights, liars or knaves. At the spaceport, four flight schedulers with Jovian Galactic Corp. were up-dating their manager on which two inter-lunar shuttles had the best and worst ‘on-time’ departure records the previous month (about 7 Earth days).

From the following discussion, what type of Ganymedan are each of the four, and which two of the fleets' 21 shuttles (each assigned a different two-digit prime number) scored the best and worst departure ratings?

1) B. "The two numbers are less than and greater than 50 respectively."
2) C. "B. is a liar."
3) D. "The difference between the two numbers is a square."
4) A. "The difference between the two numbers is a two digit palindrome."
5) C. "The difference between the two numbers is an odd number."
6) A. "The sum of the two numbers is greater than 100."
7) B. "The sums of the two digits in each number are both primes."
8) D. "The average of the two numbers is even."
9) A. "D. is a liar."
10) C. "The sums of the two digits in each number are both even."
11) D. "C. is a knave."
12) B. "The sum of the two numbers is less than 100."
13) C. "The two numbers are both above 50."
14) D. "The two numbers are both below 50."
15) B. "The average of the two numbers is odd."
16) A. "The shuttle with the best ‘on-time’ departure rating has the higher number."

 No Solution Yet Submitted by rod hines Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: solution (spoiler) Comment 3 of 3 |
(In reply to solution (spoiler) by Maria)

sorry, I left out in 1-f that if both of the two numbers whose difference was a square did have digits that summed to a prime number, they would both be less than 50 (13 and 17, 43 and 47), which disagrees with B.
 Posted by Maria on 2011-05-27 22:54:22

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