Puzzle 9
Which four-letter word can be placed between the two following words to make two new words:
arm[----]stand
In the following example, the word 'book' creates the words 'cookbook' and 'bookcase'.
cook[book]case
Puzzle Copyright © Kevin Stone
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Hint
The second letter is A.
Answer
Band.
To give armband, and bandstand.
Puzzle 10
Which letter comes next in this sequence:
A K Q J ?
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Hint
This is quite a common list.
Answer
T.
The first letters of playing cards in descending order of value.
Puzzle 11
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 12
What number comes next in this sequence:
1 4 1 5 9 2 ?
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Hint
The full sequence starts with 3.
Answer
6.
These are the decimal places of π ≈ 3.1415926.
