Puzzle 5
A Proof That 2 = 1. Let A = B:
A = B
multiply by A on both sides:
A x A = A x B
subtract B x B from both sides:
A x A – B x B = A x B – B x B
factorise:
(A + B)(A – B) = B(A – B)
divide by (A – B) on both sides:
(A + B) = B
replace A with B:
B + B = B
factorise:
2B = B
divide by B on both sides:
2 = 1
Where lies the flaw in the logic?
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Puzzle 6
Can you find the country hidden in the following paragraph:
We told Cliff to run, 'Run Cliff, run'. So Cliff ran, celebrating his recent victory in the inter-departmental relay race.
Puzzle Copyright © Kevin Stone
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Puzzle 7
Chess Tournament – Logic Puzzles
The results of a recent Chess tournament between five close rivals is described below:
Dale finished before Alex.
Emery finished after Bailey.
Alex finished before Chris.
Emery finished after Dale.
Bailey finished before Alex.
Dale finished after Bailey.
Chris finished before Emery.
Who finished where?
Puzzle Copyright © Kevin Stone
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Puzzle 8
Last week I travelled from London to Leeds, a distance I measured as 174 miles.
I started at 9.15am and completed the journey with an average speed of 40 miles per hour.
On the way back, in the evening, I travelled exactly the same route, starting at 5.15pm. The traffic was light, and I completed the journey with an average speed of 60 miles per hour.
What was the overall average speed for the round trip?
The answer is not 50 mph.
Puzzle Copyright © Kevin Stone
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