October 16, 2023

Halloween is fast approaching…
Walking through the mall on Saturday, October 14, I SAW CHRISTMAS CLOTHES AND DECORATIONS! I guess I’m behind, but that’s okay. With Christmas comes snow, and I can wait a week or six for that.
THE WRITE STUFF (from Maverick)
PUZZLE You are shown two doors – one leading out of a maze and the second one to the center and only the door guards know what is behind the doors. One guard is always lying and the other is always telling the truth (of course, you don’t know who is lying). You can ask only one guard one question. 
What question can get you out?
ANSWER: Ask one guard “what would the other guard say?” 
A, B, C, D, and E live on Math Avenue which has houses numbered from 10 to 111 inclusive. Two of them live in the same house, the other three in different houses. They make various remarks, not all true, about their houses.
A: 1. My house number is a factor of B’s.2. E’s number is 10 greater than D’s.
B: 1. My number is over 70.2. A’s number is more than 30.
C: 1. My number is a cube and a square.   2. D’s number is greater than 50.
D: 1. My number is a square.2. B’s number is a cube.
E: 1. My number is twice B’s.
A study of these remarks revealed the fact that all the statements made by those who lived in houses whose numbers were greater than 50 were false; all statements made by the others were true.    Find the houses numbers.
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Yours in mystery
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