Puzzle 53
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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Hint
Try rewriting each statement so that they are all 'finished before' statements instead.
Answer
Bailey won...
...then Dale, Alex, Chris, and Emery.
Reasoning
By placing the person who finished higher to the left, we have:
Dale finished before Alex (Dale > Alex)
Emery finished after Bailey (Bailey > Emery)
Alex finished before Chris (Alex > Chris)
Emery finished after Dale (Dale > Emery)
Bailey finished before Alex (Bailey > Alex)
Dale finished after Bailey (Bailey > Dale)
Chris finished before Emery (Chris > Emery)
From (1) and (3):
Dale > Alex > Chris
Adding (7):
Dale > Alex > Chris > Emery
Adding (6):
Bailey > Dale > Alex > Chris > Emery
Which is the final placing for all the players, and can be double-checked with the remaining clues.
Puzzle 54
From each of these words remove one letter, and then rearrange the remaining letters to find a new word. The resulting ten new words are related to each other.
energy
oregano
clearest
weight
outlive
embark
calmer
solemn
voiding
archery
Puzzle Copyright © Kevin Stone
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Hint
You can remove the Y from ENERGY and rearrange.
Answers
energy - y = green
oregano - o = orange
clearest - e = scarlet
weight - g = white
outlive - u = violet
embark - k = amber
calmer - l = cream
solemn - s = lemon
voiding - v = indigo
archery - a = cherry
Puzzle 55
Can you find the number that best completes this puzzle?
Puzzle Copyright © Kevin Stone
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Hint
The answer involves a square root.
Answer
4.
The middle of each triangle contains the square root of the sum of the three surrounding numbers.
Puzzle 56
During the recent BrainBashers Football Competition, 5 teams were competing.
Each team played each other just once, with 2 points for a win, 1 point for a draw, and 0 points for a loss.
However, the rain damaged the final scoresheet, and this is all that could be read of the final points after all of the matches:
Rugby 6
Grimsby 5
Hereford 4
Lichfield 2
Reading {?}
Can you work out how many points Reading ended the season with?
Puzzle Copyright © Kevin Stone
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Hint
How many games took place?
Answer
3.
Reasoning
There were 5 teams in the league, and every team played every other, so there were a total of 10 games played:
Rugby vs Grimsby
Rugby vs Hereford
Rugby vs Lichfield
Rugby vs Reading
Grimsby vs Hereford
Grimsby vs Lichfield
Grimsby vs Reading
Hereford vs Lichfield
Hereford vs Reading
Lichfield vs Reading
We know that 2 points were allocated for each game played. Which means that there were a total of 20 points over the 10 games.
Since the given results add to 17, the remaining 3 points belong to Reading.
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