Puzzle 5
I was having trouble sleeping last night and I tossed and turned well into the night.
Our local town hall has a clock which strikes on the hour and also strikes just once on the half hour.
During one of my more awake moments I heard the clock strike once, but I could not tell what time it was.
Half an hour later it struck once again, but I still could not tell what time it was.
Finally, half an hour later it struck once again, and I knew what the time was.
What time was it?
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Hint
When does the clock strike just once?
Answer
1.30 in the morning.
The initial single strike was at 12.30.
Puzzle 6
Can you highlight exactly three numbers that add to 17?
Note: this puzzle is not interactive, and the numbers cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
You have to highlight three numbers .
Answer
2 + 13 + 2 = 17.
The puzzle didn't ask for three digits to be highlighted!
Puzzle 7
Using all of the letters A to Z, each once only, complete these common words.
-e-er
--eue
--o
ma-
-p-a-e-
-erso-
---k-am-on
-ouse
-a-
-ur-
---igent
Puzzle Copyright © Kevin Stone
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Hint
The first word begins with the letter F.
Answer
-e-er = fever (FV)
--eue = queue (QU)
--o = zoo (ZO)
ma- = mat (T)
-p-a-e- = speaker (SEKR)
-erso- = person (PN)
---k-am-on = backgammon (BACGM)
-ouse = house (H)
-a- = wax (WX)
-ur- = jury (JY)
---igent = diligent (DIL)
This puzzle isn't guaranteed to have a unique answer, can you find another?
Puzzle 8
What four-digit number has Digit 1 three smaller than Digit 4, which is one more than Digit 2, which is twice Digit 3, which is one more than one third of Digit 4?
Puzzle Copyright © Kevin Stone
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Hint
What can digit 4 be?
Answer
6849.
Reasoning
Digit 4 must be a multiple of 3:
---3
---6
---9
Digit 3 is one more than Digit 9 ÷ 3:
--23
--36
--49
Digit 2 is twice Digit 3:
-423
-636
-849
But Digit 4 is one more than Digit 2, which only leaves:
-849
And Digit 1 is three smaller than Digit 4:
6849.
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