Puzzle 17
What number comes next in this sequence:
986888
724864
143224
==??==
Puzzle Copyright © Kevin Stone
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Hint
The answer involves multiplication (for example, 9 x 8 = 72).
Answer
468.
Reasoning
If we split each line in the following way:
98 68 88
72 48 64
14 32 24
Each new line is generated by multiplying the digits two at a time and writing the result below.
For example, 9 x 8 = 72, so 72 appears directly below 98.
And 7 x 2 = 14, so 14 appears directly below 72.
Double-Checking
9 x 8 = 72, 7 x 2 = 14, 1 x 4 = 4.
6 x 8 = 48, 4 x 8 = 32, 3 x 2 = 6.
8 x 8 = 64, 6 x 4 = 24, 2 x 4 = 8.
Puzzle 18
James, Simon, Ian, and William all like walking.
But Dave, Steven, Alan, and Alastair do not.
Does Adrian?
Puzzle Copyright © Kevin Stone
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Hint
Look at the number of letters in each of the names.
Answer
No.
Those that like walking have an odd number of letters in their name.
Puzzle 19
Place an arrow in each empty square.
Every arrow can either point left or right, but must point to a square with a number.
The numbers indicate the total number of arrows that point at them.
Puzzle Copyright © Johan de Ruiter
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Hint
2 arrows point to the right, and the others point to the left.
Answer
Puzzle 20
Using all of the letters A to Z, each once only, complete these common words.
cl--h
co--h
di-r-
-rea-
in-e-
-ok-r
-a-or
-ua-l
re-e-
-to-e
s-am-
ya--t
-eb-a
Puzzle Copyright © Kevin Stone
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Hint
The 4th word begins with the letter F.
Answers
cl--h = cloth (OT)
co--h = cough (UG)
di-r- = diary (AY)
-rea- = freak (FK)
in-e- = index (DX)
-ok-r = joker (JE)
-a-or = manor (MN)
-ua-l = quail (QI)
re-e- = rebel (BL)
-to-e = stove (SV)
s-am- = swamp (WP)
ya--t = yacht (CH)
-eb-a = zebra (ZR)
This puzzle isn't guaranteed to have a unique answer, can you find another?
