Puzzle 5
Complete this grid, using the letters AAADDEEEEKSSSS.
Note: this puzzle is not interactive, and the squares cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
One of the words begins with the letter D.
Answer
| R |
E |
A |
D |
| E |
A |
S |
E |
| A |
S |
K |
S |
| D |
E |
S |
K |
Puzzle 6
Can you find a number such that …
… its double is fourteen more than its quarter?
Puzzle Copyright © Kevin Stone
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Hint
The number is less than 20.
Answer
8.
Reasoning
We need a number (N) such that:
2 x N = 14 + N
———
4
Multiply throughout by 4 to give:
8 x N = 56 + N
So:
7 x N = 56
So N = 8.
Double-Checking
Its double is 16.
Its quarter is 2.
So its double is fourteen more than its quarter.
Puzzle 7
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 8
I was recently given a new watch for my birthday.
However, as usual with my presents, it was quite useless as it loses 6 minutes every hour.
I set it using my friend's accurate watch at midnight, and it now shows 10:39am.
I know that the watch stopped 21 minutes ago, so what is the correct time now?
Puzzle Copyright © Kevin Stone
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Hint
How many watch minutes pass in a real hour?
Answer
12:11pm.
Reasoning
The watch now shows 10:39am, so we know that 10 x 60 + 39 = 639 watch minutes have passed.
Since the watch is losing 6 minutes every hour, for every real hour that has passed, the watch will show 54 minutes.
So, 639 ÷ 54 ≈ 11.8333 real hours have passed.
This equals 710 minutes, which is 11 hours and 50 minutes = 11:50am.
The watch stopped 21 minutes ago, therefore the time must now be 12:11pm.
