Puzzle 17
Are there more …
… 2's or 8's in the numbers from 1 to 50,000?
workings
hint
answer
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Hint
Think about the first digits of the numbers.
Answer
There are more 2's because of the numbers beginning with 20,000.
Puzzle 18
Using the letters AAEEHHLLLLMMNNOOSSTT complete this grid. The grid reads the same across as down.
Note: this puzzle is not interactive, and the squares cannot be clicked.
Puzzle Copyright © Kevin Stone
workings
hint
answer
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Hint
The bottom word begins with M.
Answer
| C |
H |
A |
S |
M |
| H |
E |
L |
L |
O |
| A |
L |
I |
E |
N |
| S |
L |
E |
P |
T |
| M |
O |
N |
T |
H |
Puzzle 19
Yesterday I was asked to buy some stamps.
Stamps, in the land of BrainBashers, are available in 2p, 7p, 10p, 15p and 20p denominations.
For three types of stamp, I was asked to buy five of each.
For the other two types of stamps, I was asked to buy six of each.
Unfortunately, I forgot which I was supposed to buy five of and which to buy six of.
I had been given £3.00, which just happened to be the exact money required, so the shopkeeper was able to work out what stamps I needed.
Which stamps did I buy?
Puzzle Copyright © Kevin Stone
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Hint
I bought at least 5 of every stamp.
Answer
Five lots of 2p, 7p and 15p, and six lots of 10p, and 20p.
Reasoning
The shopkeeper rightly figured that I required five lots of all of the stamps, which came to (2p + 7p + 10p + 15p + 20p) x 5 = £2.70.
For two of the stamps I needed one more of each, and these must have added to the remaining 30p, so can only have been the 10p and 20p stamps.
Puzzle 20
What number is …
… one half of one third of one quarter of 360?
Puzzle Copyright © Kevin Stone
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answer
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Hint
Try working backwards.
Answer
15.
Reasoning
One quarter of 360 is 90.
One third of 90 is 30.
One half of 30 is 15.
