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Showing posts with the label Fun Maths

Train alert!

A group of people were asked the following question. ``Say there are 2 people tied to a railway track, and a train is fast approaching. You have time to save just one of them. Which one would you save?'' The politician replied ``After arranging for a television crew to be present, and preferably making sure there was a press conference afterwards, I would rescue the one with the louder screams.'' The accountant replied ``I would rescue the one who offered to pay me most.'' The journalist replied ``I would ask the train driver to delay the collision till I could get a camera.'' The lawyer replied ``I would jump into the train and offer my services to the driver, who will almost certainly be sued by relatives of the two. '' The physicist replied ``I would derail the train, as your question did not place any limitations on the safety of those in the train.'' The statistician replied ``I would toss a coin to pick one of them. The...

Poor Man's space travel

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I met a youngster rummaging through a dust bin. He seemed to be interested only in large sheets of paper. "What are you doing?" "I am trying to get to the moon." "Are you going to make a paper spaceship?" "No, it's much simpler than that." He put one piece of newspaper down and stood on it. "I am now nearer to the moon." He doubled the paper and stood on that. Then doubled again and stood on top of that -- there were now 4 thicknesses of paper, say a total of 4/10 of a millimetre and he carried on doubling. After a few more doublings I began to get the idea. It is roughly 400000km to the moon. How many times must he double? Surprisingly, the answer is only 43. The pattern is 1, 2, 4, 8, 16,..., each term doubling the previous one. Such a sequence is called a Geometric Progression and the nth term is given by 2^(n-1). Geometric Progressions (GP's) often have terms which get very big like this one. For some GP's however, the t...

The equations of knowledge and power

Here's one of those things friends send to friends over the Internet, leaving the original author lost (or simply hiding). After applying some simple algebra to some trite phrases and cliches a new understanding can be reached of the secret to wealth and success. Here it goes. Knowledge is Power, Time is Money, and (as every physics student knows) Power is Work over Time. So, substituting algebraic equations for these time-worn bits of wisdom, we get: K = P ...(1) T = M ...(2) P = W/T ...(3) Now for a few simple substitutions. Put W/T in for P in equation (1), which yields: K = W/T ...(4) Put M in for T into equation (4), which yields: K = W/M ...(5) Now we've got something. Expanding back into English, we get: Knowledge equals Work over Money. What this MEANS is that: Theorem 1. The More You Know, the More Work You Do, and Theorem 2. The More You Know, the Le...

WHY A STUDENT FAILS ???

Hello All One of my student has send me this... Although I am not convinced... What do you say? It's not the fault of the student if he fails, because the year has ONLY 365' days. Typical academic year for a student. 1. Sundays-52,Sundays in a year, you know Sundays are for rest. Days left 313. 2. Summer holidays-50 where weather is very hot and difficult to study. Days left 263. 3. 8 hours daily sleep-means 130 days. Days left 141. 4. 1 hour for daily playing-(good for health) means 15 days. Days left 126. 5. 2 hours daily for food & other delicacies(chew properly & eat)-means 30days. Days left 96. 6. 1 hour for talking (man is a social animal)-means 15 days ! Days left 81. 7. Exam days per year atleast 35 days. Days left 46. 8. Quarterly, Half yearly and festival (holidays)-40 days. Balance 6 days. 9. For sickness at least 3 days. Remaining days 3. 10. Movies and functions at least 2 days. 1 day left. 11. That 1 day is your birthday. "How can you study at that da...

Bike with Square Wheels

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Ride a bike with round wheels and it rolls smoothly on a flat road (i.e., the axle remains level). Can you get a bike with square wheels to roll smoothly on a road of some other shape? Surprisingly, yes. A road made up of inverted catenaries will do the trick! A catenary is a portion of a cosh curve (higher Mathematics). Figure below shows how such a bike would roll. (Source: Mudd Math fun fact)