1. You have been given an infinite number of ropes. All ropes are of varying length. If you burn any single rope such that it is lit from one end (and allowed to go on till it reaches the other end), the total time the rope takes to get burnt is one hour. Some parts burn faster than the others. Now a person comes along and claims that he can use this ‘burning ropes ’ method to exactly measure time of one hour and 15 mins (75mins). He doesn’t use any other method, source or tool (besides burning and observation) to measure time. How would you do it if put in the same situation? [Hint: You can burn ropes simultaneously] <br style="color: rgb(40, 40, 40); font-family: helvetica, arial, sans-serif; font-size: 14px; line-height: 22px; "><br style="color: rgb(40, 40, 40); font-family: helvetica, arial, sans-serif; font-size: 14px; line-height: 22px; ">2. You are given a stone, weighing 40 kg. Your job is to break it in four different parts such that they can then be used in a balance to accurately weigh all objects in the range from 1-40kg. What would be the individual weight of the four parts? (Assume that all objects to be measured have integer weights, i.e. no decimal numbers)<br style="color: rgb(40, 40, 40); font-family: helvetica, arial, sans-serif; font-size: 14px; line-height: 22px; "><br style="color: rgb(40, 40, 40); font-family: helvetica, arial, sans-serif; font-size: 14px; line-height: 22px; "><br style="color: rgb(40, 40, 40); font-family: helvetica, arial, sans-serif; font-size: 14px; line-height: 22px; ">3. Using this image: http://i.imgur.com/3PPsW.png<br style="color: rgb(40, 40, 40); font-family: helvetica, arial, sans-serif; font-size: 14px; line-height: 22px; ">Design a track through the lands so that you cross each of the seven connections labeled, only once. All connections have to be completely traversed exactly once. The track must be uni-directional, i.e. you cannot double-back and move the way you came. (This one seems impossible)
Help on any questions would be appreciated
