Puzzle 65
Astrology begins with the letter A, biology with B.
Can you find an 'ology' that begins with a P and another that begins with an L?
Puzzle Copyright © Kevin Stone
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Hint
One is the study of fossils.
Answer
Palaeontology, the study of fossils and Limnology, the study of lakes and rivers. There are others you might have chosen.
Puzzle 66
At the local racetrack, Alex was testing the latest car.
During the eight test laps, Alex managed to average the first two laps at 100mph, the next two laps at 102mph, the next two laps at 140mph, and the last two laps at 150mph.
What was the average speed for the entire 8 laps?
Puzzle Copyright © Kevin Stone
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Hint
Remember that Time = Distance ÷ Speed, and try setting the track length to be a random length.
Answer
119mph.
Reasoning
It doesn't matter how long a lap is, so let's set the track length to be a random number, say 5 miles.
Using:
Time = Distance ÷ Speed
The first two laps took:
10/100 hours
The second two laps took:
10/102 hours
The next two laps took:
10/140 hours
The final two laps took:
10/150 hours
Therefore, the total time for the 8 laps was:
10/100 + 10/102 + 10/140 + 10/150 hours
The 8 laps were 40 miles, and using Speed = Distance ÷ Time:
average speed = 40 ÷ (10/100 + 10/102 + 10/140 + 10/150)
= 119 mph
Puzzle 67
What belongs to you but other people use it more than you?
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Puzzle 68
Clown Party - Logic Puzzles
Four clowns were getting ready for the evening's performance. From the clothes trunk, each clown had to get their socks and shoes.
There was one pair of shoes in each colour, and one pair of socks in each colour.
Can you tell who had which colour socks and which colour shoes?
The red socks went with the blue shoes.
Baba had yellow shoes, but not yellow socks.
The clown with green shoes did not have blue socks.
Boba had neither red shoes nor red socks.
Bilpo's shoes were the same colour as Babil's socks.
The clown with red shoes had green socks.
Puzzle Copyright © Kevin Stone
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Hint
Try matching the sock colours to the shoe colours.
Answer
Baba
Blue socks and Yellow shoes.
Boba
Yellow socks and Green shoes.
Bilpo
Green socks and Red shoes.
Babil
Red socks and Blue shoes.
Reasoning
We had these colours: Red, Blue, Yellow, Green.
We had these clowns: Baba, Boba, Bilpo, Babil.
Let's match sock colours to shoe colours.
By (1) Red socks went with Blue shoes.
By (6) Green socks went with Red shoes.
By (3) Yellows socks must have gone with Green shoes.
Therefore, Blue socks went with Yellow shoes – confirmed with (2).
In summary:
Socks : Shoes
--------------
Red : Blue
Green : Red
Yellow : Green
Blue : Yellow
By (2) Baba had Blue socks and Yellow shoes.
By (4) Boba didn't have Red socks or Red shoes (and Baba had the Blue socks), so must have had Yellow socks and Green shoes.
By (5) Bilpo's shoes were the same colour as Babil's socks – we only have Red & Green socks left, and Blue & Red shoes. Therefore, Babil's socks can only have been Red (with Blue shoes).
Leaving Bilpo with Green socks and Red shoes.
Double-Checking
1. The red socks went with the blue shoes [Babil].
2. Baba had yellow shoes but not yellow socks [had Blue].
3. The clown with green shoes did not have blue socks [had Yellow].
4. Boba had neither red shoes nor red socks [had Green shoes and Yellow socks].
5. Bilpo's shoes were the same colour as Babil's socks [Red].
6. The clown with red shoes had green socks [Bilpo].
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