Subscribe via feed.

Aquarium Problem #4

Posted by DP under Logic, MathsChallenge (11 Responds)

A block of ice measuring 1 foot by 1 foot at the base is placed in a 2 foot by 3 foot aquarium. Water is then added to a level of 9 inches. Once the ice melts, the level of the water remains at 9 inches. How tall was the block of ice?

Aquarium Problem #3

Posted by DP under Logic, MathsChallenge (9 Responds)

A 2 foot by 3 foot aquarium is filled with 9 inches of water. A 1 foot ice cube is placed in the corner. How much will the water rise once the ice melts?

Aquarium Problem #2

Posted by DP under Logic, MathsChallenge (7 Responds)

A 2 foot by 3 foot aquarium is filled with 9 inches of water. (2) 1 foot metal cubes are placed in opposite corners. How much will the water rise?

Aquarium Problem #1

Posted by DP under Logic, MathsChallenge (3 Responds)

A 2 foot by 3 foot aquarium is filled with 9 inches of water. A 1 foot metal cube is placed in the corner. How much will the water rise?

X=10+Log(X)

Posted by ragknot under Tom (52 Responds)

Do you know a quick method to find X?

A chess board problem

Posted by Chris under Logic (3 Responds)

If no row, column or diaganol can have more than five pieces on it, what is the maximum number of squares that can be occupied on a chess board?

If you want to show a solution, use “_” and “X” for empty an occupied. Whatever you use, I’ll make sure it aligns (within 24 hours of your posting).

The Oil Problem

Posted by ragknot under Tom (8 Responds)

An oil well being drilled in flat prairie country struck pay
sand at an under ground spot exactly 21,000 feet from one corner of a rectangular plot of farmland, 18,000 feet from the opposite corner, and 6000 feet from a third corner.

How far is the underground spot from the fourth corner ?

Santa Clause 3

Posted by ragknot under Tom (13 Responds)

Slight change from the movie question.

Two flying raindeer leave the North Pole. One flies South at 20 mph, the other flies to the right at 50 mph. How many hours does it take for them to be 210 miles apart?

Reversing numbers (again)

Posted by ragknot under Tom (3 Responds)

Back in 2010, a question was about this: ”  f * ABCD = DCBA “.

I easily found  these…  4 * 2178  = 8712    and   9 * 1089  = 9801

I also found  a pair for five digit :  ”  f * ABCDE = EDCBA “.

But it seems that for six digits, there was no solution.

Can you find a solution for five digits?  And if so, what about six digits?

Hats (One is a LARGE size)

Posted by ragknot under Tom (19 Responds)
Six gentlemen hung their hats in the cloakroom at their club.
After imbibing for several hours, when it came time to leave,
each had blurred vision, and in consequence, all of them picked up one of the hats.
One guy has a big head and hat,  and if his hat is still there, he will get it!
What is the probability of that at least two men get their own hats?