Cyclists & A Fly Two cyclists start 30 miles apart, and begin cycling towards each other at 15 mph. The instant they begin, a fly goes from one cyclist to the other, then back to the first cyclist, and so on, always flying between the cyclists. The fly flies at a constant 30 mph. How far in total does the fly travel when the cyclists meet?
What is pi and its exact value? Pl note pi is not = 22/7 = 3.142857142857..... 142587 repeats. We used pi always as 22/7 as taught in school and later in college. The better value of pi expressed in fraction can not be found using logarithm ( four decimals) or slide rule or calculator. More of maths: J and K are the only letters not in any of the numbers when written as words. • Four is the only number that has the same number of letters as its meaning. ( F-O-U-R ) These two fractions add up to one and between them they contain all of the digits from zero to nine. It is the only way that this can be done. • 18 is the only number that is twice the sum of its digits. • 40 when written in words " Forty " is the only number with letters in alphabetical order, while One is the only one with letters in reverse order. • Same Three Digit Number a Think of any three digit number in which each of the digits is the same. Examples include 333, 666, 777, 999. b Add up the digits. c Divide the three digit number by the answer in Step b. ◦ The answer is 37. • The decimal fractions of seven are the same six recurring digits, in the same order, but starting from a different one ◦ 1/7 = 0.142857142857… 2/7 = 0.285714285714… 3/7 = 0.428571428571… 4/7 = 0.571428571428… 5/7 = 0.714285714285… 6/7 = 0.857142857142… • The number Zero does not have its own Roman numeral • 26 is the only natural number that can be placed between a perfect square and a perfect cube. The RED numbers show where the approximations fail… In conclusion, we used to use π ≈ 22/7 or 3.1 or 3.14 or even 3.142 because that was as accurate as we could expect to get before we had our modern calculators!
In a calendar month four dates are grouped into a square such that the dates printed one below the other and with in a square when added leaves the result as twenty. Without looking into a calendar month, find out the dates. Ans in SPOILER
THIS SUDOKU IS SUPPOSED TO BE THE TOUGHEST ONE TO SOLVE. COULD YOU ENGAGE WITH IT AND POST SOLUTION IN CASE YOU ARE SUCCESSFUL.
