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Posts under Logic

Knock Knock!

Posted by DP under Logic, Tom (4 Responds)

There are 5 houses on Main street. Emily lives on the end, and is next door to the Red house. The man who works at the Toy Store has a yellow house. One of the ladies is a student, and lives in a White house. Dave, the Car Dealer, lives between the Brown house and [...]

Weigh hay

Posted by Chris under Logic, Mathemagic (9 Responds)

A farmer asked a worker to weigh 5 trusses of hay. The fool weighed them two at a time in all possible ways, and found that the weights were:
110, 112, 113, 114, 115, 116, 117, 118, 120, and 121 units.
What are the weights of the individual trusses?

Yellow streak

Posted by Chris under Logic, Mathemagic (6 Responds)

As the last one was easy, here’s another already.
A banana seller sells half his bananas plus half a banana on the first day. He does the same the next day, and the next day, and so on, until he finally runs out of bananas at the end of the tenth day. How many bananas did [...]

Barrel of beer

Posted by Chris under Logic, Mathemagic (8 Responds)

A man bought 6 barrels of booze. 5 contained wine and one contained beer. The sizes of the barrels were 15, 16, 18, 19, 20 and 31 gallons (luvvly jubbly). He sold a number of barrels of wine to one customer, and later sold some more barrels of wine to another customer. The second customer [...]

Dealing from the top

Posted by Chris under Logic (11 Responds)

A deck of cards is split into 4 piles of 13. You take 1 card at a time from the top of any of the piles. Repeat until there are no cards left. How many different orders could you do that in?
If you crack that, then you should be able to generalise to piles of [...]

Round Robbin’

Posted by Chris under Logic, Mathemagic (8 Responds)

Seven gents A,B,C,D,E,F and G play a silly game. In order of their names, each doubles the amount of money that the others have in their pockets (from his own pocket). i.e. the money simply gets redistributed.
When all seven have taken their turn, each ends up with \$128.
How much money did each of the gents [...]

Tom, Dick and Harry

Posted by Chris under Logic (7 Responds)

Here’s one I pinched from the old ToM site. In my opinion, the official answer was wrong and only one person got it right (for the right reason). I’ll post a link to the page after this has run it’s course.
Tom, Dick and Harry are in prison. One of them has been randomly selected to [...]

Changing Places 2

Posted by Chris under Logic, MathsChallenge (31 Responds)

A group of 10 people are seated at a circular table. They hadn’t noticed that they had places designated for them, and none of them sat in the right place. If the table is rotated by one position, calculate the probability that 0,1,2,3,4,5,6,7,8,9,10 of the people are then seated at their correct position. Similarly, calculate [...]

Six Logicians

Posted by rajesh under Logic, wordfun (4 Responds)

Six logicians finish dinner. The waitress asks, “Do you all want coffee?”
First logician: “I don’t know.”
Second logician: “I don’t know.”
Third logician: “I don’t know.”
Fourth logician: “I don’t know.”
Fifth logician: “I don’t know.”
Sixth logician: “No.”
Who gets coffee and why?

Some easy ones for the weekend

Posted by DP under Logic, wordfun (8 Responds)

1) My uncle on my mom’s side is an only child. Explain.
2) A man who runs in front of a car gets _____. A man who runs behind a car gets _____.
3) Everyday at a company of 100 people there are 99 vehicles in the parking lot. Each employee leaves their house in the vehicle [...]

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