Puzzle 61
Volleyball Bonanza - Logic Puzzles
At the end of the last volleyball season, the main results table had been destroyed.
Luckily, a number of people could remember the following snippets:
Arlington Wonderers finished above The Mad Hatters and Derby Surefires.
Eagle Wings finished above Arlington Wonderers, The Mad Hatters, and Derby Surefires.
Happy Hippo finished above Bright Moon and Eagle Wings.
Eagle Wings finished above Foxtrot Foxes and Chippy Flippers.
The Mad Hatters finished below Chippy Flippers and Eagle Wings.
Foxtrot Foxes finished before Bright Moon, Derby Surefires, and The Mad Hatters.
Derby Surefires finished below Foxtrot Foxes, Chippy Flippers, and Bright Moon.
Arlington Wonderers finished below Chippy Flippers and Eagle Wings.
Bright Moon finished below Eagle Wings, Foxtrot Foxes, and The Mad Hatters.
Derby Surefires finished below The Mad Hatters and Eagle Wings.
Foxtrot Foxes finished below Arlington Wonderers and Eagle Wings.
Can you restore the correct league positions?
Puzzle Copyright © Kevin Stone
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Answer
Happy Hippo
Eagle Wings
Chippy Flippers
Arlington Wonderers
Foxtrot Foxes
The Mad Hatters
Bright Moon
Derby Surefires
One possible way of finding the answer is to write the names on pieces of paper and move them around as you go through the clues.
Puzzle 62
These words have had their vowels (AEIOU) removed, can you replace them to find some animals:
pnd
frrt
s ln
hdghg
chth
tdpl
ttr
plr br
lprd
grff
Puzzle Copyright © Kevin Stone
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Hint
The first word ends with the letter A.
Answer
pnd = panda
frrt = ferret
s ln = sea lion
hdghg = hedgehog
chth = cheetah
tdpl = tadpole
ttr = otter
plr br = polar bear
lprd = leopard
grff = giraffe
Puzzle 63
Last week I drove from Aardvark to Beeville.
On the first day, I travelled 1/3 of the starting distance.
On day two, I travelled 1/2 of the remaining distance.
On day three, I travelled 2/3 of the remaining distance.
At the end of day four, after travelling 3/4 of the remaining distance, I was still 5 miles away from Beeville.
How many miles had I travelled so far?
Puzzle Copyright © Kevin Stone
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Hint
Try working backwards.
Answer
175 miles.
The total distance was 180 miles, but as I still had 5 miles to go, the required answer is 175 miles.
Reasoning
Let's try working backwards.
Day 4: I travelled 3/4, which means that the other 1/4 was 5 miles – so 20 miles were left at the start of day four.
Day 3: I travelled 2/3, which means that the other 1/3 was 20 miles – so 60 miles were left at the start of day three.
Day 2: I travelled 1/2, which means that the other 1/2 was 60 miles – so 120 miles were left at the start of day two.
Day 1: I travelled 1/3, which means that the other 2/3 was 120 miles – so 180 miles were ahead at the start of day one.
The full distance was therefore 180 miles, but we were asked how many miles I had travelled so far, and as I still had 5 to go the answer is 175 miles.
Double-Checking
Start distance: 180 miles.
Day 1: I travelled 1/3 of the distance (60 miles), leaving 120 miles.
Day 2: I travelled 1/2 of the distance (60 miles), leaving 60 miles.
Day 3: I travelled 2/3 of the distance (40 miles), leaving 20 miles.
Day 4: I travelled 3/4 of the distance (15 miles), leaving 5 miles.
Puzzle 64
Imagine a chessboard of size 20 x 20 instead of the normal 8 x 8.
How many squares, of any size, are there in total?
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Hint
How many 1 x 1 squares are there, how many 2 x 2?
Answer
2,870 squares.
Reasoning
We have squares sizes from 1 x 1 up to 20 x 20, and these are the counts:
1 x 1 = 400
2 x 2 = 361
3 x 3 = 324
4 x 4 = 289
5 x 5 = 256
6 x 6 = 225
7 x 7 = 196
8 x 8 = 169
9 x 9 = 144
10 x 10 = 121
11 x 11 = 100
12 x 12 = 81
13 x 13 = 64
14 x 14 = 49
15 x 15 = 36
16 x 16 = 25
17 x 17 = 16
18 x 18 = 9
19 x 19 = 4
20 x 20 = 1
Total = 400 + 361 + 324 + 289 + 256 + 225 + 196 + 169 + 144 + 121 + 100 + 81 + 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 = 2870.
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