Puzzle 25
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?
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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 26
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
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Hint
You can remove the Y from ENERGY and rearrange.
Answer
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 27
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 28
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:
Longton 6
Fenton 5
Blurton 4
Hulton 2
Fulton {?}
Can you work out how many points Fulton 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:
Longton vs Fenton
Longton vs Blurton
Longton vs Hulton
Longton vs Fulton
Fenton vs Blurton
Fenton vs Hulton
Fenton vs Fulton
Blurton vs Hulton
Blurton vs Fulton
Hulton vs Fulton
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 Fulton.
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