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Hint: These are the first letters of the words: P, B, D, L, O, A, B, H, S, B.

Answer:

pro + nou + nce = pronounce
bea + uti + ful = beautiful
dim + ens + ion = dimension
liv + est + ock = livestock
ope + rat + ion = operation
ann + oun + cer = announcer
bed + spr + ead = bedspread
hou + seb + oat = houseboat
sev + ent + een = seventeen
bre + akf + ast = breakfast

Puzzle 208

What is represented by this BrainBat?

DOG
THE

[Ref: ZZYI]

Hint: Say what you see.

Answer: The underdog.

Puzzle 209

The BrainBashers mechanical computer is a very sensitive device, in consists of four sequential cog wheels which are in constant mesh.

The largest cog has 63 teeth and the others have 42, 35 and 27 respectively.

By accident, Daniel started to rotate the largest cog.

How many revolutions must he rotate the largest cog make before the computer is back in its starting position with all of the cogs where they started?

Hint: Try breaking each cog size into prime factors.

Answer: 30 revolutions.

If we break each wheel into its prime factors, we get:

63 = 3 x 3 x 7
42 = 2 x 3 x 7
35 = 5 x 7
27 = 3 x 3 x 3

We now think of rotating the large wheel just once, and this is 3 x 3 x 7 teeth moved (3 x 21), and we can see that 42 tooth wheel also has a 3 x 7 (21 teeth) in it, with an extra 2. If we therefore rotate the 63 toothed wheel twice, the 42 will have rotated three times.

The answer involves cancelling any common factors from the large wheel. We can cancel 3, 3, 7 from any of the smaller ones to leave 2 (from the 42), 5 (from the 35) and 3 (from the 27). 2 x 5 x 3 = 30. QED.

Puzzle 210

Using the BrainTracker grid below, how many words can you find? Each word must contain the central G and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. Can you find the nine letter word?

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