Intuitive_Learnings

  THE PERPLEXED BANKER A man went into a bank with a thousand dollars, all in dollar bills, and ten bags. He said, "Place this money, please, in the bags in such a way that if I call and ask for a certain number of dollars you can hand me over one or more bags, giving me the exact amount called for without opening any of the bags." How was it to be done? We are, of course, only concerned with a single application, but he may ask for any exact number of dollars from one to one thousand. Orientation:- 1)Find a way to represent 1 to 1000 such that each bag can be used to indicate a place of a digit in a certain base.

  THE ENGINEER'S NAME Three business men-Smith, Robinson, and Jones-all live in the Leeds- Sheffield district. Three railwaymen of similar names live in the same district. The business man Robinson and the guard live at Sheffield, the business man Jones and the stoker live at Leeds, while the business man Smith and the railway engineer live half-way between Leeds and Sheffield. The guard's namesake earns $10,000.00 per annum, and the engineer earns exactly one- third of the business man living nearest to him. Finally, the railwayman Smith beats the stoker at billiards. What is the engineer's name? Orientation:- 1) There is enough information to find the engineer's name if you read carefully. The Time :- Every hour the kitchen clock gets five minutes faster. The living room clock gets five minutes slower every hour. They were both set at the same time. The kitchen clock displays 3:30 p.m., and the living room clock displays 12 p.m. What time is it? O...

  Answers:- The Calender:- Every year divisible by 4 without remainder is bissextile (leap year), except that every year divisible by 100 without remainder is not leap year, unless it be also divisible by 400 without remainder, when it is leap year. This is not generally understood. Thus 1800 was not leap year, nor was 1900; but 2000, 2400, 2800, etc., will all be leap years. The first day of the present century, January I, 1901, was Tuesday. The present century will contain 25 leap years, because 2000 is leap year, and therefore 36,525 (365 X 100 + 25) days, or 5217 weeks and 6 days; so that January 1,2001, will be 6 days later than Tuesday-that is Monday. The century beginning January I, 2001, will contain only 24 leap years, because 2100 is not leap year, and January 1,2101, will be 5 days later than Monday, last mentioned, that is Saturday, because there are 5217 weeks and only 5 days.   It will now be convenient to put the...

  THE REJECfED GUN:- An inventor offered a new large gun to the committee appointed by our government for the consideration of such things. He declared that when once loaded it would fire sixty shots at the rate of a shot a minute. The War Office put it to the test and found that it fired sixty shots an hour, but declined it, "as it did not fulfill the promised condition." "Absurd," said the inventor, "for you have shown that it clearly does all that we undertook it should do." "Nothing of the sort," said the experts. "It has failed." Can you explain this extraordinary mystery? Was the inventor, or were the experts, righ t? Orientation:- 1) The experts were right

  THE HOUSE NUMBER (Part 1) :- A man said the house of his friend was in a long street, numbered on his side one, two, three, and so on, and that all the numbers on one side of him added up exactly the same as all the numbers on the other side of him. He said he knew there were more than fifty houses on that side of the street, but not so many as five hundred. Can you discover the number of that house? Orientation:- 1) Based on the information You can form the below equation   m(m+1)/2=n(n+1)/2-((m(m+1)/2))+m+1) Simplify the equation to find the answer pattern 2) You can write a C/C++ program to find the final answer The House Number (Part2):- A long street in Brussels has all the odd numbers of the houses on one side and all the even numbers on the other-a method of street numbering quite common in our own country. (1) If a man lives in an odd-numbered house and all the numbers on one side of him, added together, equal the numbers on the o...

  BEESWAX:- The word BEESWAX represents a number in a criminal's secret code, but the police had no clue until they discovered among his papers the following sum:                               EASEBSBSX                               minus                               B PWWKSETQ                               equals                               KPE PWEKKQ The detectives assumed that it was an addition sum and utterly failed to solve it. Then one man hit on the brilliant idea that perhaps it was a case of subtraction. This proved to be correct, and by substituting a different figure for each letter, so that ...