Puzzle 17
Yesterday I was asked to buy some stamps.
In the land of BrainBashers, stamps are available in denominations of 4p, 5p, 7p, 12p, and 19p (just the five different values).
For three denominations of stamps, I was asked to buy six of each. For the other two denominations. I was asked to buy ten of each.
Unfortunately, I forgot which I was supposed to buy six of, and which to buy ten of!
Luckily I had been given the exact money required to buy the stamps, £3.50, so the shopkeeper was able to work out the stamps I needed.
Which stamps did I have to buy?
Puzzle Copyright © Kevin Stone
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Hint
I bought at least 6 of each stamp.
Answer
Six lots of 4p, 7p, and 19p, and ten lots of 5p, and 12p.
Reasoning
For three denominations of stamps, I was asked to buy 6 of each, and for the other two denominations, I had to buy 10 of each.
So I had to buy at least 6 of all five denominations.
This would be for a total of 6 x (4 + 5 + 7 + 12 + 19) = 282p = £2.82.
The remaining 68p has to buy the remaining 8 stamps, 4 of each of the two remaining denominations.
If we just bought 1 of each of the two remaining denominations they would have cost 68 ÷ 4 = 17p.
So the two remaining denominations must have been 5p and 12p.
Double-Checking
6 x 4 = 24
10 x 5 = 50
6 x 7 = 42
10 x 12 = 120
6 x 19 = 114
For a total of 24 + 50 + 42 + 120 + 114 = 350p = £3.50.
Puzzle 18
What has four legs …
… and only one foot?
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Hint
This thing isn't alive.
Puzzle 19
Can you fill the thermometers with mercury, such that the numbers outside the grid indicate how many cells in each row and column contain mercury?
Mercury always starts filling from the bottom of a thermometer, and not every thermometer has to contain mercury.
Puzzle Copyright © Johan de Ruiter
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Hint
The top of a thermometer can't be filled unless the bottom is.
Answer
Puzzle 20
Which one of these sentences is the odd one out? The answer is nothing to do with food or animals.
Jackals are mean, eager scavengers.
Koalas eat in the heat.
Sheep invariably munch old newspapers.
Seals are rare and hungry.
Foxes rich appetite never kicks.
Puzzle Copyright © Kevin Stone
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Hint
Look at the first letters of each word.
Answer
S eals a re r are a nd h ungry.
The initial letters spell Sarah. All of the other sentences spell boys' names.
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