Puzzle 5
How many squares of any size on this chessboard do not contain a rook?
Puzzle Copyright © Kevin Stone
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Hint
How many 2 x 2 squares are there?
Answer
There are 93 squares without a rook.
Reasoning
There are 60 squares of size 1 x 1.
There are 33 squares of size 2 x 2.
Giving a total of 60 + 33 = 93 squares.
Puzzle 6
Tha Brainaasaera elactaonac ward aroaesaor aas aeea playiag ua.
It as raplaciag eaera thard aetaer aita an a. What saouad tais aaragraph aeaa?
Puzzle Copyright © Kevin Stone
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Hint
Look at every third letter.
Answer
The BrainBashers electronic word processor has been playing up.
It is replacing every third letter with an a. What should this paragraph read?
Puzzle 7
This is a very special sequence and is complete, but what is the missing letter?
T · I · A · V · S · S · A · I · C · ? · W · I · T · M · L
Puzzle Copyright © Kevin Stone
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Hint
The clue is in the question.
Answer
B.
Reasoning
These are the initial letters of the puzzle itself:
This
is
a
very
special
sequence
and
is
complete
* but
what
is
the
missing
letter
Therefore, B is missing.
Puzzle 8
Can you find three consecutive even numbers that …
… total 85,008 when multiplied together?
Puzzle Copyright © Kevin Stone
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Hint
Try starting with the cube root of the number.
Answer
42, 44, and 46.
Reasoning
As we require 3 numbers that are multiplied together, we can start with the cube root of 85,008 ≈ 43.97.
We can now check that 44 divides 85,008 exactly: 85,008 ÷ 44 = 1,932, which means that 44 is likely to be one of the numbers.
And as we know that we need consecutive even numbers, we soon find 42 and 46 as the remaining numbers.
Double-Checking
42 x 44 x 46 = 85,008.
