There are four three-digit n...
There are four three-digit numbers that share this property: the number itself, its double and its triple contain each digit from 1 to 9 exactly once. For example, 192 is one of them because 192, 384, 576 contain 1 to 9 each once. 273 is another one of them because 273, 546, 819 contain 1 to 9 each once. Can you find the other two numbers and calculate the product of these two numbers?
Lost Rooster
The priest in a small Irish village was very fond of the chickens he kept in the hen house out the back of the parish manse. He had a cock rooster and about ten hens.
One Saturday night the cock rooster went missing and as that was the time he suspected cock fights occurred in the village he decided to do something about it at church the next morning.
At Mass, he asked the congregation "Has anybody got a cock?" - all the men stood up.
"No No" he said "That wasn't what I meant. Has anybody seen a cock?" - all the women stood up.
"No No" he said "That wasn't what I meant. Has anybody seen a cock that doesn't belong to them." - half the women stood up.
"No No" he said "That wasn't what I meant. Has anybody seen my cock?" - all the nuns stood up.