# Plep's Puzzles

Name:

## Sunday, October 31, 2004

Listen carefully and then tell us a secret about yourself. dbcghajghb

## Saturday, October 30, 2004

### Mathematical Verse

This is a mathematical poem from India. It's quite easy to solve once you get the hang of it :-

O beautiful maiden with beaming eyes, tell me,
Since you understand the method of inversion,
What number multiplied by 2,
Then increased by three quarters of the product,
Then divided by seven,
Then diminished by one third of the result,
Then multiplied by itself,
Then diminished by 52,
Whose square root is then extracted,
Before 8 is added and then divided by 10,
Gives the final result of 2?

## Saturday, October 23, 2004

### Another Pouring Puzzle

Suppose that you have access to an 11-gallon container, a 6-gallon container, and a source of running water (such as a water tap). You do not have access to any measuring devices, but you are allowed to pour water down a drain.

How would you set about measuring out 8 gallons of water?

## Friday, October 15, 2004

### Pouring Puzzle

You have 3 containers, labelled A, B and C.
Container A has a capacity of 8 litres; container B has a capacity of 5 litres; container C has a capacity of 3 litres.
Currently, container A is full to the brim with water, whereas B and C are empty.
You are allowed to transfer water from any one container to the other, but are not allowed to use external water sources such as taps (so no pouring water down the drain and re-filling). You have no access to measuring equipment, and you are not allowed to 'guesstimate' water levels by eye (so, for instance, you cannot pour water from A to B and then do a visual check that they are approximately the same level, or 'half full').

What steps do you need to take to get to a state where 4 litres of water are in A, 4 litres of water are in B, and C is empty?

## Saturday, October 09, 2004

### Two Travellers

Two walkers spend from 3 pm until 9 pm walking along a level road, walking up a hill, and reversing their steps down the hill and back along the level road to return back home again. Their pace on the level is 4 mph, uphill 3mph, and downhill 6 mph.

How far did they walk?
To the nearest half hour, at what time did they reach the top of the hill?