Cleave Books
Puzzle Trio 13

37. 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?

38. 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?

39. 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?

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