ujjagrawal

Mr. Smith, a school teacher needs to weigh 5 of his students. In a puzzling mood, he weighted them in couples. The output weights are 114, 116, 118, 120, 121, 122, 123, 124, 125 and 129 pounds. After sometime of mathematical jugglery, he was able to tell individual weights of each of the students. Can you tell what are their individual weights?

So the it is there... you all had got the answer... but below I will put my version of answer in bit detail

The warden meets with 23 new prisoners when they arrive. He tells them, "You may meet today and plan a strategy. But after today, you will be in isolated cells and will have no communication with one another. "In the prison is a switch room, which contains two light switches labeled 1 and 2, each of which can be in either up or the down position. I am not telling you their present positions. The switches are not connected to anything. "After today, from time to time whenever I feel so inclined, I will select one prisoner at random and escort him to the switch room. This prisoner will select one of the two switches and reverse its position. He must flip one switch when he visits the switch room, and may only flip one of the switches. Then he'll be led back to his cell. "No one else will be allowed to alter the switches until I lead the next prisoner into the switch room. I'm going to choose prisoners at random. I may choose the same guy three times in a row, or I may jump around and come back. I will not touch the switches, if I wanted you dead you would already be dead. "Given enough time, everyone will eventually visit the switch room the same number of times as everyone else. At any time, anyone may declare to me, 'We have all visited the switch room.' "If it is true, then you will all be set free. If it is false, and somebody has not yet visited the switch room, you will all die horribly. You will be carefully monitored, and any attempt to break any of these rules will result in instant death to all of you" What is the strategy they come up with so that they can be free?

nice work.... your approach seems most correct to me... third chair is my choice too... This is not a pure probability problem... it is a combination of probability and logic... the person sitting on a chair will not make any guesses based upon probability but he will try to deduce the answer by logic... incase he is not able to... he passes on... and in worst case senario... correct answer can be logically deducable until 6th turn i.e by person sitting on 3rd chair... that also hold maximum probability(chances) for a person to logically deduce the answer. Anyone with a different views/answer with explanation is most welcome...

100+ views and just 1 attempt... this is not so tough guys... just try it out... definitely you will find out the correct answer...

what are the chances of seeing 4 stamps of same colors on first chair... Is this the maximum ? what if you take 2nd or 3rd chair?

Prof. Sushi Rama gives out only one A+ each year in her course on Logic. This year, you and two other students got 100 on all the exams, and you REALLY want that A+. The professor says that she will give the 3 of you a test to determine the winner. There are 3 chairs in her office. After lunch each of you will sit in one of the chairs, and then she will paste two stamps on your forehead. She shows you the 4 white and 4 black stamps that she has. You will be able to see the stamps on the other two students' foreheads, but not your own, or the two leftover stamps. Then she will ask the student in the first chair to tell what color stamps are on his or her forehead. If the student cannot logically deduce the colors, she will move on to the second chair, then the third chair. If that does not decide the issue, she will continue around the circle of chairs until one of you gives the correct response, with correct reasoning, based on the stamps that are visible and the other students' answers. After lunch you are the first to arrive at the professor's office. Which chair do you choose and why?

I am looking for a general answer.

Sunny has a sheet of stamps that he wants to separate into individual stamps. How can he do it with the fewest possible tears? Assume the stamps are all rectangular, all the same size, arranged in a uniform rectangular grid, each stamp is perforated along all 4 edges, and the sheet is very thin.

Solved. Congrats to all of you who got it correct.

There is a staircase with 10 steps. A child runs up the steps, either 1 step or 2 steps with each stride. How many different ways can the stairs be climbed by him?

Good to see... you all people trying on it... still waiting to see all correct answers... nobody has got them all yet...

Also, for number 4: in order to connect two links, do both links have to be cut open or just one? good work on first three... you are a rare person if you have got correct answer for ques 4 in one go. And for 4, I think no additional information required.

Hello Guys, below is an another set of interesting puzzle. Though this time it requires little mathematics to solve but time allowed is just 5 minutes for all of 5 questions below. TIP: Solving on a paper using Pen is good, Oral calculation is bit faster but calculating in mind is the fastest. And once you are expert in doing calculations in mind, you will be definitely an above average mathematician. 1. A clock loses exactly ten minutes every hour. If the clock is set correctly at noon, what is the correct time when the clock reads 3:00pm? 2. If a bottle and a cork cost a dollar and a nickel, and the bottle costs a dollar more than the cork, how much does the cork cost? 3. Perform this calculation in your head, mentally adding the numbers as quickly as you can. Start with 1000 and add 40. Now add 1000. Add 30 to that, then add another 1000. Now add 20 to that result. Add another 1000 and finally, add 10 to that. What is the total? 4. You have four chains. Each chain has three links in it. Although it is difficult to cut the links, you wish to make a single loop with all 12 links. What is the fewest number of cuts you must make to accomplish this task? 5. An explorer wishes to cross a barren desert that requires 6 days to cross, but one man can only carry enough food for 4 days. What is the fewest number of other men required to help carry enough food for him to cross? Please note down your answers and put here in spoilers.

Some of you had already got the answer... however putting solution for others...

that's smart.... but will like you to try harder on it... otherwise a time perfectionist then even won't need any hour glasses.

MikeD... your method will let your spouse wait for 16 mins to get an 9 mins boiled egg... I will like you to deliver the same just after 9 mins and I know you can do it ...

well.. in my mind it was all too simple.. but puttin it down was real hard for me... all jst to get a boiled egg ????? nice job hhh3...

You are a cooking in remote area with no clocks or other way of keeping time other than a four-minute and a seven-minute hourglass. On the stove is a pot of boiling water. Your spouse asks you for a nine-minute egg, and you know she/he is a perfectionist and can tell if you under-cooked or overcooked the egg by even a few seconds. How can you cook the egg for exactly 9 minutes?

Chain is not connected at ends, i.e. it is not a circular but linear chain... you are close to correct answer...

Incorrect... review your answer...

Thanks for pointing it out.... Read below the correct puzzle: A man needs to pay his rent daily and was out of money, but found that his rent was worth about one gold link on his chain per day. What is the fewest number of cuts he can make in his 23-link chain to pay the rent for up to 23 days?

A man needed to pay his rent and was out of money, but found that his rent was worth about one gold link on his chain per day. What is the fewest number of cuts he can make in his 23-link chain to pay the rent for up to 23 days?

Please use spoilers when you responds...