A Few More Puzzles
Jul. 8th, 2011 10:36 am![[identity profile]](https://www.dreamwidth.org/img/silk/identity/openid.png){kind=small}
chubbyleng.livejournal.com posting in ![[community profile]](https://www.dreamwidth.org/img/silk/identity/community.png){kind=small}
queensthiefSo, since some people seem to like the logical puzzles I previously posted, then here are a few more. Two of these are actually straight out of my assignments. ^__^
I. Sophos was lounging in his apartments, ill with a lovebug bite, when he suddenly started to crave some cake. He sent for someone to bring him a fresh slice from the kitchens. When a knock came from the doorways, there were two attendants who wanted to bring him some cake: one with a strawberry flavour, the other with chocolate.
There were only two attendants currently on duty: Ion from Attolia, whom he trusts unconditionally, and Ion Nomenus, whom he’d rather have behind bars for his lies (how he got out, we shall never know T__T). Since Sophos was sick, he did not want to open the doors himself, and the thick doors muffled their voices so he could not tell which one is carrying which cake.
He knew that his idol Gen could determine a solution to his predicament just by asking ONE question. What question could Sophos ask to one of them so that he’d only have to allow the Ion carrying the chocolate cake to enter?
(Hint: Since I wasn't able to solve this problem by myself, I figure I'd be mean not to give a clue. Try forming the question like this, "Does ____ carry ____?")
II. In the court of Attolia, friendship is mutual. The queen receives a strange message from Relius that warns, “If there are at least two people during dinner that has the same number of friends, then there will be poison in your husband’s wine tonight.”
Eugenides complains to his wife that he has no friends in the wretched place. Should Attolia send an order to the kitchen maids not to serve wine that night?
(This one is pretty easy. But I think the actual proof is a bit tediuos.)
III. The king of Attolia is entertaining a couple of his guards with a magic trick. He has a deck of regular cards on a table, shuffling them over and over again.
Gen tells Aris and Costis, “If the top 26 cards have more red cards than the bottom 26 cards have black, then I guarantee you that I have placed three cards in a row of the same colour somewhere in this deck.”
Aris calls the king a liar, "There can't be three cards in a row."
But Costis says Eugenides is telling the truth. Which guard was right?
I. Sophos was lounging in his apartments, ill with a lovebug bite, when he suddenly started to crave some cake. He sent for someone to bring him a fresh slice from the kitchens. When a knock came from the doorways, there were two attendants who wanted to bring him some cake: one with a strawberry flavour, the other with chocolate.
There were only two attendants currently on duty: Ion from Attolia, whom he trusts unconditionally, and Ion Nomenus, whom he’d rather have behind bars for his lies (how he got out, we shall never know T__T). Since Sophos was sick, he did not want to open the doors himself, and the thick doors muffled their voices so he could not tell which one is carrying which cake.
He knew that his idol Gen could determine a solution to his predicament just by asking ONE question. What question could Sophos ask to one of them so that he’d only have to allow the Ion carrying the chocolate cake to enter?
(Hint: Since I wasn't able to solve this problem by myself, I figure I'd be mean not to give a clue. Try forming the question like this, "Does ____ carry ____?")
II. In the court of Attolia, friendship is mutual. The queen receives a strange message from Relius that warns, “If there are at least two people during dinner that has the same number of friends, then there will be poison in your husband’s wine tonight.”
Eugenides complains to his wife that he has no friends in the wretched place. Should Attolia send an order to the kitchen maids not to serve wine that night?
(This one is pretty easy. But I think the actual proof is a bit tediuos.)
III. The king of Attolia is entertaining a couple of his guards with a magic trick. He has a deck of regular cards on a table, shuffling them over and over again.
Gen tells Aris and Costis, “If the top 26 cards have more red cards than the bottom 26 cards have black, then I guarantee you that I have placed three cards in a row of the same colour somewhere in this deck.”
Aris calls the king a liar, "There can't be three cards in a row."
But Costis says Eugenides is telling the truth. Which guard was right?
