Mind Reader 1 - Ask someone to think of a number between 1 and 10
2 - Then multiply it by 5 3 - Then add 7 4 - Then multiply by 2 5 - Then add any other number between 1 and 10 6 - And finally subtract 3 7 - Ask them to to give the final number. Explanation in algebra I`m afraid Let step 1 = x Then step 2 = 5x And step 3 = 5x + 7 Making step 4 = 2 x (5x + 7) = 10x + 14 Add any number y (say) between 1 and 10 to step 4 Giving 10x + 14 + y Then ask them to subtract 3 Giving 10x + 11 + y So, if the final answer is, say, 73, you then do a simple equation:- Subtract 11 from both sides of the equation giving:- 10x + y = 62 That is, 10 times "what" + "what" gives 62? So the first number must be 6 (step 1) and the other number (step 5) must be 2
0 Comments
Fibonacci Now I know that most of you are familiar with this talented Italian mathematician also, as you know, is known as Leonardo of Pisa. For those of you who have read Dan Brown`s book - The Da Vinci Code - or seen the film will recognise the following sequence 1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,.................................................. Known as the Fibonacci Sequence - where each number is the sum of the previous two numbers This sequence is repeated many times in nature. For example
Have you heard the puzzle of the Fibonacci rabbits? A man put a pair of baby rabbits in his large, enclosed garden. They cannot breed until they are two months old, but at the end of the third month they produce a new pair of rabbits which, in turn, become productive after two months. If nature takes its course and they are all producing in the notorious way that rabbits do, how many rabbits will there be at the end of the year. The Fibonacci Sequence gives the total.......
Crossing the River - Marital Mistrust - Answers Let the husbands be A, B, C. and their respective wives be a, b, c.
Left Bank In Boat Boat Direction Right Bank A,C, a, c B, b Left to Right - A, C, a, c B Right to Left b A, B, C a, c Left to Right b A, B, C a Right to Left b, c A, a B, C Left to Right b, c A, a B, b Right to Left C, c a, b A, B Left to Right C, c a, b c Right to Left A, B, C b a, c Left to Right A, B, C b B Right to Left A, C, a, c - B, b Left to Right A, C, a, c Wasn`t that easy!!! Crossing the River - Marital Mistrust Three jealous husbands , with their wives, must cross a river.
There is only one boat and no boatman The boat can only carry two of them at the same time. How can they all cross the river so that - No wife is left in the company of other men without her husband being present. Both men and women can row All husbands are jealous in the extreme They do not trust their unaccompanied wives to be with another man - even if the other mans wife is also present Answers Should be sent to the Society via the "Contact Us" form A bit more difficult - However answers will be on their way after Christmas River Crossing - Farm Produce - Answer 1) Take the goat across
2) Return with no cargo and take the wolf across 3) Bring back the goat but leave the wolf 4) Drop off the goat, pick up the cabbage and take that across 5) Return empty, leaving the wolf and cabbage 6) Pick up the goat and take it across da, daaaa! River Crossing - Farm Produce A farmer is taking a wolf, a goat and a basket of cabbages to market when he comes to a river where there only one small boat.
He can only fit one of his three items in the boat, plus himself at any one time. He can`t leave the wolf with the goat or the goat with the cabbages, for obvious reasons. Fortunately, the wolf detests cabbages. How does the farmer get all three items across the river safely? Answer soon Turnip for the Books "It`s been a good year for turnips", farmer Hogswill remarked to his neighbour. farmer Suticle
"Yup, that it has," the other replied. "How many did you grow?" "Weeeell....I don`t exactly recall, but I do remember that when I took the turnips to market, I sold six-sevenths of them plus one seventh of a turnip, in the first hour. "Must`ve been tricky cuttin` `em up" "No, it was a whole number that I sold. I never cuts `em" "If`n you say so Hogswill, then what?" "I sold six-sevenths of what was left, plus one seventh of a turnip, in the second hour.Then I sold six-sevenths of what was left plus one seventh of a turnip in the third hour. Finally, I sold six-sevenths of what was left, plus one seventh of a turnip, in the fourth hour. Then I went home" "Why?" "Cos I`d sold the lot!" How many turnips did farmer Hogswill take to market" Answer on 23 August - or thereabouts! |
AuthorMy name is Jack, I live in at the back of Greta Garbo`s home for wayward boys and girls Categories
All
|