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Puzzle 1
If 5 cats can catch 5 rats in 5 minutes …
… how many cats do you need to catch 100 rats in 100 minutes?
With 230 ants (1380 legs), 3 puppies (12 legs), and 1 teacher (2 legs).
If we call the number of puppies P, then there were (P + 20) children and 10 x (P + 20) ants, and a single teacher. If we now count the legs, we get:
Puppies:
P x 4 = 4P
Children:
(P + 20) x 2 = 2P + 40
Ants:
10 x (P + 20) x 6 = 60P + 1200
Teacher: 2
A total of 66P + 1242
Giving:
66P + 1242 = 1440
66P = 198
P = 3
So there were 3 puppies, hence 23 children.
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Puzzle 3
What is the minimum number of queens required on a chessboard such that all squares are attacked?
Disastrous Dave was washing windows on a multi-storey office building when he took a fall off a fifty-foot ladder, directly onto the concrete pavement below.
It is now four years since I first asked for support, and I would like to sincerely thank everyone who has helped me. BrainBashers doesn't show adverts, and I continue to depend on the ongoing support from everyone who enjoys the site.
