Puzzle 89
Last week, I travelled from London to Stoke.
On the first day, I travelled one half of the distance.
On day two, I travelled one third of the remaining distance.
On day three, I travelled three quarters of the remaining distance.
Yesterday I travelled one half of the remaining distance.
I now have 5 miles left to travel.
How far is it from Stoke to London in total?
Puzzle Copyright © Kevin Stone
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Puzzle 90
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 91
Greenjack Round #1 - Logic Puzzles
You find yourself playing a game with your friend.
It is played with a deck of only 16 cards, divided into 4 suits:
Red, Blue, Orange, and Green.
There are four cards in each suit:
Ace, King, Queen, and Jack.
All Aces outrank all Kings, which outrank all Queens, which outrank all Jacks, except for the Green Jack, which outranks every other card.
If two cards have the same face value, then Red outranks Blue, which outranks Orange, which outranks Green, again except for the Green Jack, which outranks everything.
Here's how the game is played: you are dealt one card face up, and your friend is dealt one card face down. Your friend then makes some true statements, and you have to work out who has the higher card, you or your friend. It's that simple!
Round 1:
You are dealt the Green Ace and your friend makes three statements:
My card is higher than any Queen.
Knowing this, if my card is more likely to beat yours, then my card is Blue. Otherwise, it isn't.
Given all of the information you now know, if your card is more likely to beat mine, then my card is a King. Otherwise, it isn't.
Who has the higher card, you or your friend?
Puzzle Copyright © E.J. Shamblen
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Puzzle 92
Can you find the country hidden in the following paragraph:
As managers, we deny all involvement in the unscrupulous dealings that have come to light in the recent interdepartmental investigation.
Puzzle Copyright © Kevin Stone
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