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 3
Hidden in these sentences are the numbers 1 to 10 (in words).
A number might appear in more than one sentence, and they might not be in order, but there is only one way to use all of the sentences and find all ten numbers.
The robins love hiding amongst the smooth reeds. It's always worth looking after your friends, even if they've upset you. Even heavyweight boxers like using soft tissues when they have a cold. To avoid the cliff, I veered sharply to the left. The eggs were boxed thirteen instead of a dozen in each baker's delivery box. Having salmon every day for lunch gets a little boring after a while. The attendance at the local football match exceeded last week's by many thousands. We need to waterproof our boots to make sure we don't get wet. Meeting friends after work allows executives to network effectively. The orchestra sounded magnificent with the three virtuosi xylophonists.
Answer Having salmON Every day for lunch gets a little boring after a while.Meeting friends after work allows executives to neTWOrk effectively.The robins love hiding amongst the smooTH REEds.We need to waterprooF OUR boots to make sure we don't get wet.To avoid the clifF, I VEered sharply to the left.The orchestra sounded magnificent with the three virtuoSI Xylophonists.It's always worth looking after your friendS, EVEN if they've upset you.Even heavywEIGHT boxers like using soft tissues when they have a cold.The eggs were boxed thirteen instead of a dozeN IN Each baker's delivery box.The atTENdance at the local football match exceeded last week's by many thousands.
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Puzzle 4
If you are running in a marathon, and you overtake the person in last place …
