Puzzle 5
Can you find every occurrence of the word MARCH that appears in this grid (horizontally, vertically, or diagonally)?
The hint will reveal the number of times it occurs, but where are they?

Note: this puzzle is not interactive, and the letters cannot be selected.
Puzzle Copyright © Kevin Stone
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Hint
The word MARCH appears 46 times.
Answer
The word MARCH appears 46 times.
Puzzle 6
Are there more millimetres in a mile or…
…sixteenths of an inch in 2 kilometres?
Puzzle Copyright © Kevin Stone
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Answer
Millimetres in a mile.
Reasoning
One inch = 25.4mm.
So:
1 mile = 1760 yards = 1760 x 3 feet = 1760 x 3 x 12 inches = 1760 x 3 x 12 x 25.4 millimetres = 1,609,344mm in 1 mile.
And:
2 kilometres = 2000 metres = 2000 x 100 centimetre = 2000 x 100 x 10 millimetres = 2000 x 100 x 10 ÷ 25.4 inches = 2000 x 100 x 10 ÷ 25.4 x 16 = sixteenths of an inch ≈ 1,259,843 sixteenths of an inch in 2 kilometres.
Puzzle 7
Entry Exam Section D - Logic Puzzles
Here is a snippet of section D of the curious multiple-choice entrance exam into the exclusive BrainBashers puzzle club.
Q1. Which is the first question where c) is the correct answer?
a) Q3
b) Q4
c) Q1
d) Q2
Q2. Which is the first question where a) is the correct answer?
a) Q4
b) Q2
c) Q3
d) Q1
Q3. Which is the first question where d) is the correct answer?
a) Q1
b) Q2
c) Q4
d) Q3
Q4. Which is the first question where b) is the correct answer?
a) Q2
b) Q4
c) Q3
d) Q1
Puzzle Copyright © Kevin Stone
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Answer
Q1. d)
Q2. c)
Q3. a)
Q4. b)
Reasoning
Let's look at Q1 first, and check each possible option:
If Q1's answer was a):
...we'll leave checking this for now, because...
If Q1's answer was b):
...we'll leave checking this for now, because...
If Q1's answer was c):
it would reference itself and we'd learn nothing new, and we'd then have to check Q2.
So, let's start with Q2 first instead of Q1.
If Q2's answer was a):
an immediate contradiction, as Q4 can't be the first answer with a) as we've assumed Q2's answer is a).
If Q2's answer was b):
an immediate contradiction, as Q2 can't be the first answer with a) as we've assumed Q2's answer is b).
If Q2's answer was c):
Q3's answer would be a)
Q1's answer would be d)
confirming Q2's answer as c)
leaving Q4's only possible answer as b)
no contradiction.
If Q2's answer was d):
Q1's answer would be a) (*)
Q3's answer would be c)
Q4's answer would be d)
Q1's answer would be b)
but this contradicts the section marked (*).
Therefore, the only possible answer with no contradiction is when Q2's answer is c).
Puzzle 8
What shape completes the bottom line?
triangle pentagon square
square hexagon hexagon square
pentagon hexagon hexagon hexagon square triangle
hexagon octagon octagon octagon octagon {?}
Puzzle Copyright © Kevin Stone
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Hint
Look at the number of sides of each of the shapes.
Answer
Square.
Reasoning
Square the first shape's sides, and the remaining shapes add up to this number.
triangle (3 x 3) = pentagon (5) + square (4)
square (4 x 4) = hexagon (6) + hexagon (6) + square (4)
pentagon (5 x 5) = hexagon (6) + hexagon (6) + hexagon (6) + square (4) + triangle (3)
Therefore:
hexagon (6 x 6) = octagon (8) + octagon (8) + octagon (8) + octagon (8) + square (4)
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