Puzzle 541
Can you find a word that can suffix (go after) each of these letters:
re
deva
rein
over
inter
under
Puzzle Copyright © Kevin Stone
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Hint
The missing word is five letters long.
Answer
State.
To give:
restate
devastate
reinstate
overstate
interstate
understate.
Puzzle 542
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?
Puzzle Copyright © Kevin Stone
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Hint
Each vowel (AEIOU) counts as 2 miles.
Answer
27 miles.
Vowels (AEIOU) are worth 2 miles and consonants are worth 3 miles.
Puzzle 543
At my local farmer's merchant, you can buy chicken feed for £4 per tonne, pig feed for £3 per tonne, and cattle feed for 40p per tonne. The feed can only be purchased by the tonne, and part tonnes aren't sold.
Last week I bought some animal feed, and luckily I managed to buy exactly 100 tonnes for exactly £100. How much of each feed did I buy?
Puzzle Copyright © Kevin Stone
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Hint
What must the number of tonnes of cattle feed be a multiple of?
Answer
I bought 8 tonnes of chicken feed, 12 tonnes of pig feed, and 80 tonnes of cattle feed.
Reasoning
The number of tonnes of cattle feed must be a multiple of 5, because we need to have a whole number of pounds (5 x 0.40).
If all 100 tonnes was cattle feed the cost would have been £40, which isn't enough.
If 95 tonnes was cattle feed the cost would have been £38, and the remaining 5 tonnes of (the most expensive) chicken feed at £20, gives a total of £58, which isn't enough.
If 90 tonnes was cattle feed the cost would have been £36, and the remaining 10 tonnes of (the most expensive) chicken feed at £40, gives a total of £76, which isn't enough.
If 85 tonnes was cattle feed the cost would have been £34, and the remaining 15 tonnes of (the most expensive) chicken feed at £60, gives a total of £94, which isn't enough.
If 80 tonnes was cattle feed the cost would have been £32, and the remaining 20 tonnes of (the most expensive) chicken feed at £80, gives a total of £112. So, this might be a possible answer...
We need 20 tonnes of chicken feed and pig feed to equal £68, so let's reduce the chicken feed until it works.
20 chicken + 0 pig = 80 + 0 = £80
19 chicken + 1 pig = 76 + 3 = £79
18 chicken + 2 pig = 72 + 6 = £78...
We can see it's coming down 1 at a time, so we need to come down to a total of £68, which is 10 fewer tonnes of chicken feed:
8 chicken + 12 pig = 32 + 36 = £68. As required.
Double-Checking
8 x 4.00 = £32.00
12 x 3.00 = £36.00
80 x 0.40 = £32.00
--- ------
100 tonnes = £100.00
Puzzle 544
Which is the odd one out:
CAT DOG GOLDFISH HAMSTER COW
Puzzle Copyright © Kevin Stone
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Hint
This is nothing to do with pets.
Answer
Goldfish.
All of the others are mammals. If you suggested Cow I will let you have half a mark!
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