Puzzle Trio 13
||I am thinking of a 2-digit number which -|
When it is divided by 3 the remainder is 1
When it is divided by 4 the remainder is 2
When it is divided by 5 the remainder is 3
When it is divided by 6 the remainder is 4
What number am I thinking of?
||At a Crazy Sale to raise funds for the local Village Hall, one stall-holder advertised|
|NINE ||for ||11p|
|TEN ||for ||9p|
|TWELVE ||for ||18p|
One customer figured out how the system worked, asked for ELEVEN, and passed over the correct money.|
How much did the customer pay?
||There are two cubes.|
For both of them, their edge-lengths are a whole number of centimetres.
Curiously, the total of their volumes is exactly equal to the total of all their edge-lengths.
What is their total volume?