Puzzle 89
How far can …
… a horse run into a forest?
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Hint
Some might argue that this isn't a puzzle.
Answer
Half way – after which it would be running out!
Puzzle 90
Triathlon - Round 2 - Logic Puzzles
The final of the BrainBashers triathlon was a close run thing.
The whole tournament was decided on the last two sections, cycling and the road race.
Alex didn't win either section.
The person who won the cycling came third in the road race.
Alex beat Charlie in cycling, but was beaten by Charlie in the road race.
Charlie was last in neither section.
Drew won the road race, but was beaten by Billie in the cycling.
Can you work out who came where in each section?
Puzzle Copyright © Kevin Stone
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Hint
In the road race, where could Charlie have finished?
Answer
Cycling : Billie > Alex > Charlie > Drew
Road race : Drew > Charlie > Billie > Alex
Road Race
In the road race, where could Charlie have finished?
By (4), he wasn't last. By (5), he wasn't first.
By (2), if Charlie was third, then he would have won the cycling, but by (3) Alex beat Charlie in the cycling, so Charlie can't have won the cycling.
So Charlie must have finished in second place.
By (5), Drew was first.
By (1), Alex didn't win the cycling, so by (2) he didn't come third in the road race. Therefore, Alex came last.
Leaving Billie in third place.
Road race : Drew > Charlie > Billie > Alex
Cycling
By (2), Billie won.
By (4), Charlie wasn't last.
By (3), Alex beat Charlie. So Alex finished in second place, with Charlie in third place.
Leaving Drew in last place.
Cycling : Billie > Alex > Charlie > Drew
Puzzle 91
I recently went to the shop and purchased 4 items.
Three of the items cost:
$1.50
$3.00
$4.00
There was quite a long queue, and as I was quite bored, I was playing with my pocket calculator while I waited.
Very curiously, the 4 prices added to the same number as I got when I multiplied the 4 prices together.
What was the price of the 4th item?
Puzzle Copyright © Kevin Stone
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Hint
What do the 3 numbers add and multiply to give so far?
Answer
$0.50.
Reasoning
The three prices add to 1.50 + 3.00 + 4.00 = 8.50.
The three prices multiply to 1.50 x 3.00 x 4.00 = 18.00.
You might be able to see that adding another 0.50 will take the total to 9.00, and multiplying by another 0.50 will take the product to 9.00.
The answer can also be found using algebra. If we call the missing price P, we have:
1.50 + 3.00 + 4.00 + P = 1.50 x 3.00 x 4.00 x P
8.50 + P = 18.00 x P
8.50 = 18.00 x P – P
8.50 = 17.00 x P
8.50 ÷ 17.00 = P
P = 0.50.
Puzzle 92
Which of the shapes is identical to the first one?
There might be more than one.
Puzzle Copyright © Robert A. Hartmann
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Hint
Try to rotate them around in your head, but watch out for mirror images.
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