All Puzzles
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When they started off on the great annual picnic every wagon in town was pressed into service, each one carrying the same number of people.
Half way to the picnic ground ten wagons broke down, so it was necessary for each of the remaining wagons to carry one more person.
When they started for home it was discovered that fifteen more wagons were out of commission, so on the return trip there were three persons more in each wagon than when they started out in the morning.
How many people attended the great annual picnic?
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What are the maximum number of grape vines that can be planted, not closer than nine feet apart, in a square plot containing one-sixteenth of an acre?
Note: each side of this square plot would be 52 feet 2 inches)
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There are 2 trees in a garden (tree “A” and “B”) and on the both trees are some birds.
The birds of tree A say to the birds of tree B that if one of you comes to our tree, then our population will be the double of yours.
Then the birds of tree B tell to the birds of tree A that if one of you comes here, then our population will be equal to that of yours.
How many birds in each tree?
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Use the numerals 1, 9, 9 and 6 exactly in that order to make the following numbers: 28, 32, 35, 38, 72, 73, 76, 77, 100 and 1000
You can use the mathematical symbols +, -, ×, /, √, ^ (exponent symbol) and brackets.
Example: 1×9+9×6 = 63
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The circumference of the Earth is approximately 40,000 kilometers, and someone has just made a metal band that circles the Earth, touching the ground at all locations.
You come along at night, as a practical joke, and add just 10 meters to its length (one hundredth of one kilometer !)
It is now one four-millionth longer, and sits magically just above the ground at all locations
How far has it risen … could a flea, a rabbit or even a man squeeze underneath it?
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According to the traditional song, on the first day of Christmas (25th December), my true love sent to me:
. A partridge in a pear tree
On the second day of Christmas (26th December), my true love sent to me THREE presents:
. Two turtle doves
. A partridge in a pear treeOn the third day of Christmas (27th December and so on) my true love sent to me SIX presents:
. Three French hens
. Two turtle doves
. A partridge in a pear treeThis carries on until the the twelfth day of Christmas, when my true love sends me:
Twelve drummers drumming
Eleven pipers piping
Ten lords a-leaping
Nine ladies dancing
Eight maids a-milking
Seven swans a-swimming
Six geese a-laying
Five gold rings
Four calling birds
Three French hens
Two turtle doves
A partridge in a pear treeAfter the twelve days of Christmas are over, how many presents has my true love sent me altogether?
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What do the numbers 11, 69, 88, and 96 all have in common?
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Say you have some bendable wires (any number, any length). What is the minimum number of solder connections needed to make a cube? Prove it. Also, what is the minimum number of wires necessary? Prove it.
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John and Jacob are on the two opposite banks of a river. They both have a rowing boat.
They both start at the same time towards the opposite bank. They pass each other at 180 meters from the bank where john departed. When reaching the opposite bank, they both take a rest for the same amount of time before they return. On the way back, they pass each other at 100 meters from the bank from where John returned.
John and Jacob both row with a constant speed, but Jacob rows faster.
How wide is the river?
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Imagine a disk spinning like a record player turn table. Half of the disk is black and the other is white. Assume you have an unlimited number of colour sensors. How many sensors would you have to place around the disk to determine the direction the disk is spinning? Where would they be placed?
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