Answer
There were 17 children, with 11 sweets each.
Reasoning
If we number the clues: each child had more than one sweetthere were more children than there were sweets per child
187 only has the factors 1, 11, 17, 187. Therefore, the only possible answers are:
1 child, with 187 sweets each – not allowed by (2)
11 children, with 17 sweets each – not allowed by (2)
17 children, with 11 sweets each (*)
187 children, with 1 sweet each – not allowed by (1)
Only one possible answer (*) isn't eliminated.
??
Puzzle 110
What are the next three letters in this sequence:
HDD
TMRUTC
TCSO
TMRD
The initial letters from the nursery rhyme, Hickory Dickory Dock.
Hickory, dickory, dock,
The mouse ran up the clock,
The clock struck one,
The mouse ran down,
Hickory, dickory, dock.
?
Puzzle 111
Last night, I was looking at a road sign and could see that Leeds was 13 miles away, Stoke was 13 miles away and Leek was 10 miles away.
Unfortunately, it was too dark to see how far it was to Manchester. Can you help me?
Answer
Here are the contents of the containers after each stage:
A = 9 litres, B = 4 litres
A B
9 0 fill A
5 4 fill B from A (leaving 5 litres in A)
5 0 empty B
1 4 fill B from A (leaving 1 litre in A)
1 0 empty B
0 1 fill B from A
9 1 fill A
6 4 fill B from A (only 3 more litres fit in B)
6 0 empty B
This leaves 6 litres in container A.
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