Puzzle 1
Yesterday I was asked to buy some stamps.
In the land of BrainBashers, stamps are available in denominations of 3p, 9p, 11p, 17p, and 21p (just the five different values).
For three denominations of stamp I was asked to buy eight of each, and for the other two denominations I was asked to buy nine of each.
Unfortunately, I forgot which I was supposed to buy eight of, and which to buy nine of!!
Luckily I had been given the exact money required to buy the stamps, £5.00, 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 8 of each stamp.
Answer
Eight lots of 11p, 17p and 21p, and nine lots of 3p and 9p.
Reasoning
For three denominations of stamp I was asked to buy 8 of each, and for the other two denominations I had to buy 9 of each.
So I had to buy at least 8 of all five denominations.
This would be for a total of 8 x (3 + 9 + 11 + 17 + 21) = 488p = £4.88.
The remaining 12p has to buy the remaining 2 stamps, which must have been 3p and 9p.
Double-Checking
9 x 3 = 27
9 x 9 = 81
8 x 11 = 88
8 x 17 = 136
8 x 21 = 168
For a total of 27 + 81 + 88 + 136 + 168 = 500p = £5.
Puzzle 2
On which side of a cup …
… is it best to have the handle?
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Hint
It's neither LEFT not RIGHT.
Puzzle 3
Starting with BALL, change one letter at a time until you have the word HEAD.
Each change leaves the other letters in their original places and must result in a proper word.
What is the minimum number of steps required to achieve this change?
Puzzle Copyright © Kevin Stone
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Hint
There is more than one way of completing this in 4 moves.
Answer
Ball bell hell heal head.
Ball bell hell held head.
Ball hall hell heal head.
Ball hall hell held head.
Puzzle 4
Which is greater, the number of grooves on one side of a vinyl record (if you can remember them!) or the number of days in the year?
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Hint
Think carefully before you answer.
Answer
Days in the year as there is only one groove per side of a vinyl record!