During a recent expedition, three intrepid adventurers were left stranded in the middle of the desert with only a crate full of apples.
During the night, Alex woke up and decided to hide some of the apples and hid a third, then promptly fell asleep again.
Billie woke up shortly after and also decided to hide a third of the remaining apples and then also dozed back to sleep.
Finally, Charlie woke up and seeing the others were asleep, took a third of what was left.
Of course, none of the adventurers knew of the other's antics, so, in the morning, they shared the remaining apples, each receiving sixteen. How many apples were in the crate originally?
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.
