Hint
There are 3 P's, so there are 3 different ways to start the word.
Answer
960.
Reasoning
Given: P P P U U Z Z Z Z Z L L L L E S S.
The order of the Z's is important. For example, we could chose a red one and a green one, so the order they appear in the sign has to be taken into consideration.
There are:
3 different P's that could be chosen.
2 different U's that could be chosen.
5 different Z's that could be chosen.
4 different Z's that could be chosen, as one has already been chosen.
4 different L's that could be chosen.
1 E that could be chosen.
2 different S's that could be chosen.
So there are 3 x 2 x 5 x 4 x 4 x 1 x 2 = 960 different ways to make the sign.
The weather at the Cape of Good Hope makes it a notorious location where many ships have been lost to the sea. Philip Wood, the famous diver, has discovered four ships that sank in the same spot, one on top of each other.
With some skill, Philip was able to determine the name, captain, cargo, destination and year built for all of the ships. The question is, can you?
During his first exploration of the site, Philip determined there were four ships: the Red Rover, the ship built in 1743, the ship captained by Quigley and the ship carrying tea that was bound for North America. The ship that carried a cargo of saffron was built after the ship that carried a cargo of tea. An entry in one ship's log found at the site indicated that the ship built in 1522 was carrying a valuable cargo of gold. One ship was carrying botanical specimens to France. Philip determined that this was not the Royal Bride. The Scarlet Queen, a pirate ship, was certainly built before the nineteenth century but not as early as the sixteenth. The captain of this ship was the famous rogue Clubfoot. The Wanderer was built after the Royal Bride. The Royal Bride's cargo was not tea and the Royal Bride was not travelling to the South Seas. Captain Bolton's ship was built before Clubfoot's and before The Royal Bride.
Ships : Red Rover, Royal Bride, Scarlet Queen, Wanderer
Year Built : 1522, 1688, 1743, 1817
Captain : Bolton, Clubfoot, Quigley, Vickers
Cargo : Gold, Saffron, Specimens, Tea
Destination : England, France, North America, South Seas
Answer Name Year Captain Cargo Destination Royal Bride 1743 Vickers Saffron England Scarlet Queen 1688 Clubfoot Tea North America Red Rover 1522 Bolton Gold South Seas Wanderer 1817 Quigley Specimens France
The ship built in 1522 was carrying gold (3). This is not the Scarlet Queen (5), the Wanderer (6) or the Royal Bride (7) so must have been the Red Rover. The Scarlet Queen was built in either 1688 or 1743 (5) and the Wanderer was built after the Royal Bride so the Wanderer was built in 1817 and the Royal Bride in either 1688 or 1743 so the captain of the Red Rover was Captain Bolton (7). The ship carrying tea was not the Red Rover (gold), the Royal Bride (6) or the Wanderer (2) so was the Scarlet Queen. The Scarlet Queen's destination was North America (1) and her captain was Clubfoot (5). The Scarlet Queen was not built in 1743 (1) so was built in 1688 and the Royal Bride was built in 1743. The Royal Bride was not carrying gold (Red Rover), tea (Scarlet Queen) or botanical specimens (4) so was carrying saffron and the Wanderer was carrying the specimens to France. Quigley was not the captain of the Royal Bride (1) so was the captain of the Wanderer and Vickers was the captain of the Royal Bride. The Royal Bride's destination was not the South Seas (6) so was England and the Red Rover's destination was the South Seas.
??
Puzzle 164
We have been quite lucky with the weather recently, it has got steadily warmer each day, over the last five days.
By this, I mean that the temperature rose by the same amount each day.
The average temperature was 2 °C, and I know it froze on two occasions (0 °C).
I also know the product of the temperatures was over 500 but below 2,000 and each temperature was an integer.
Hint
What must the middle temperature be? Remember that the temperature are in degrees Celsius.
Answer
The temperatures were -6, -2, 2, 6, 10 °C.
Each day increased by a steady 4 degrees.
Reasoning
As the temperature rose steadily each day, we know that the middle temperature (Day 3) was 2 degrees (because the average was 2 degrees).
Since Day 3 was 2 degrees, and there were two negative temperatures, we know that the daily increase must have been at least 3 degrees (otherwise Day 2 would not have been negative).
If we check a daily increase of 3 degrees, the sequence would be -4, -1, 2, 5, 8, but this doesn't work as the product is less than 500.
If we check a daily increase of 4 degrees, the sequence would be -6, -2, 2, 6, 10, which does matches all of the requirements.
If we check a daily increase of 5 degrees, the sequence would be -8, -3, 2, 7, 12, but this doesn't work as the product is more than 2000.
Any larger increase makes the product even larger, so we can stop checking.
