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.
Hint
Start by working out the pairings of the flowers.
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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Puzzle 42
Below, 10 nine-letter words have been broken into chunks of three letters.
The chunks have been moved around, no chunk is used twice, and all of the chunks are used.
Can you determine what the 10 words are?
hol rec ant imp fer con
man dif ice pol acq htn
ort myt new air sag duc
dec lig kch ogy ing tan
uit ent gle tal tor ent
Hint
The first letters of the words are: A, C, D, D, I, L, M, N, P, R.
Answers
acq + uit + tal = acquittal
con + duc + tor = conductor
dec + kch + air = deckchair
dif + fer + ent = different
imp + ort + ant = important
lig + htn + ing = lightning
myt + hol + ogy = mythology
new + sag + ent = newsagent
pol + ice + man = policeman
rec + tan + gle = rectangle
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Puzzle 43
A large freshwater reservoir has two types of drainage system. Small pipes and large pipes.
6 large pipes, on their own, can drain the reservoir in 12 hours.
6 small pipes, on their own, can drain the reservoir in 18 hours.
How long will 6 large pipes and 6 small pipes take to drain the reservoir?
