Gardener's Spring Fayre - Logic Puzzles
At the recent spring fayre, four keen gardeners were displaying their fine roses.
In total there were four colours and each rose colour appeared twice.
From the clues below, can you tell who had which colour roses?
Gardener Green had a yellow rose.
Gardener Yellow did not have a red one.
Gardener Red had a blue rose, but not a green one.
Gardener Blue did not have a yellow one.
One person with a red rose also had a green one.
One person with a yellow rose also had a blue one.
One of the persons with a green rose had no red.
Neither of the persons with a yellow rose had a green one.
No person had two roses of the same colour.
No two persons had the same two colour roses, and their names provide no clues.
Puzzle Copyright © Kevin Stone
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Answer
Gardener Red
yellow + blue
Gardener Green
yellow + red
Gardener Yellow
blue + green
Gardener Blue
red + green
Stage 1 – Pairings
First, we work out the possible flower pairings (BGRY = blue, green, red, yellow).
By (8), Y can only be paired with B and R.
YB YR
By (5), we have RG.
YB YR RG
By (9) and (10), the remaining pairing can only be BG.
YB YR RG BG
Stage 2 - Matchings
Next, we match the flower pairings to the gardeners.
By (3), Gardener Red = Y + B
By (1), Gardener Green = Y + R (as YB has already been determined).
By (2), Gardener Yellow = B + G (as this is the only remaining pairing without R).
Leaving, Gardener Blue = R + G.
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