Code Forum

Two players are playing a game and take alternating turns. Initially, there are 9 cards with numbers from 1 to 9 on the table. On each turn, a player takes one of the cards. The first player to have exactly 3 cards with numbers that sum to 15 wins. If no one can after all cards are distributed, then it's a draw. Can you tell who wins and how to play this game without using a computer to analyze all possible positions?

If there are  n  number of people invited in a party, who can shake hands with one another (where  n  > 1 ). After sometime host says that there is always a pair of people who has shake hands with the same number of people.How he came to know.

Given a fleet of 50 trucks, each with a full fuel tank and a range of 100 miles, how far can you deliver a payload? You can transfer the payload from truck to truck, and you can transfer fuel from truck to truck. Assume all the payload will fit in one truck.

Each number from 1 to 10^10 are written out in english format (eg: "two hundred eleven","one hundred forty two") and then listed down in alphabetical order as in dictionary.Which is the first odd number in the list?

You are in a party which has 'n' guests. One of them being a celebrity which meets the following criteria. 1. Celebrity doesn't know anyone 2. All others except the celebrity know atleast one person including the celebrity. You are allowed to ask any person - DO YOU KNOW X person. How many questions you need to identify the celebrity

A fool wants to tie a rope around the earth. So he buys a rope of 40,000 KM and ties it around the world. His neighbour, also a fool, wants to do the same only he wants the rope on sticks 1 meter above the ground. How much more rope does he need?

There are n petrol bunks arranged in circle. Each bunk is separated from the rest by a certain distance. You choose some mode of travel which needs 1litre of petrol to cover 1km distance. You can't infinitely draw any amount of petrol from each bunk as each bunk has some limited petrol only. But you know that the sum of litres of petrol in all the bunks is equal to the distance to be covered. ie let P1, P2, ... Pn be n bunks arranged circularly. d1 is distance between p1 and p2, d2 is distance between p2 and p3. dn is distance between pn and p1.Now find out the bunk from where the travel can be started such that your mode of travel never runs out of fuel.

The King of a small country invites 1000 senators to his annual party. As gifts, each senator brings the King a bottle of wine, for a grand total of 1000 bottles of wine. Each bottle is signed by the senator who gave it. At the end of the party, the Queen tells the King that one of the senators is trying to assassinate him, and has put deadly poison in the bottle of wine he gave as a gift. Unfortunately, the Queen doesn't know which senator is the traitor (and thus doesn't know which bottle of wine has the poison in it). The King has 10 servants. He views them as expendable, and does not care if they live or die. He decides to use them to figure out which bottle is poisoned, which will then indicate which senator is trying to assassinate him. His plan is to make each servant drink from zero or more of the bottles of wine. The King knows that the poison is such that if a servant drinks it, he will feel fine until noon on the next day, at which point he will instan...

Two robots are placed at different points on a straight line of infinite length. When they are first placed down, they each spray out some oil to mark their starting points. You must program each robot to ensure that the robots will eventually crash into each other. A program can consist of the following four instructions: Go left one space Go right one space Skip the next instruction if there is oil in my current spot Go to a label [Note that a "label" is a name that refers to a line of your code. For example, you could label the third line of your program "surveying". Then, the instruction "goto surveying" would jump to line 3 and start executing from there on the next cycle.] Both robots need not have the same program. Note that you won't know ahead of time which robot is on the left and which is on the right.

There are two 10 litres mug of waters.You have also one 5 litres and another 4 litres of mug.Now pour from any of the mugs and without throwing out any water fill two other mugs with exactly 2 litres of water.

Use any mathematical operation between five zeroes to make them 120.

Four switches can be turned on or off. One is the light switch for the incandescent overhead light in the next room, which is initially off, but you don't know which. The other three switches do nothing. From the room with the switches in it, you can't see whether the light in the next room is turned on or off. You may flip the switches as often and as many times as you like, but once you enter the next room to check on the light, you must be able to say which switch controls the light without flipping the switches any further. (And you can't open the door without entering, either!) How can you determine which switch controls the light?

If the probability of observing a car in 30 minutes on a highway is 0.95, what is the probability of observing a car in 10 minutes (assuming constant default probability)?  

There are 49 race cars and no two car have the same speed. Now  you are given  7 tracks with equal length,each can occupy maximum of 7 cars.You have to find the 25th fastest car. At least how many races are needed.(no time recorder).please share your solution along with explanation.

There is a 2X4 matrix, in this you are supposed to arrange the numbers from 1-8, so that no consecutive numbers are adjacent(vertically, horizontally and diagonally) to each other. It is possible to do if one keeps on trying it randomly but it can be done with an intelligent approach too. What would that be?

There is a circle enclosed in a square,such that it is touching all the four sides of the square. In the top left space between square and the circle, there is a rectangle with length 14 and breadth 7, such that top left corner of the rect is the top-left corner of square and bottom right corner lies on the circumference of the circle. What is the radius of the circle?

The chef at our place is sloppy: when he prepares pancakes, they come out all different sizes. When the waiter delivers them to a customer, he rearranges them (so that smallest is on top,and so on, down to the largest at the bottom) He does this by grabbing several from the top and flipping them over, repeating this (varying the number he flips) as many times as necessary. eg : Assume pancakes are represented through numbers as : 5 2 3 4 1 Now you have to sort it as 1 2 3 4 5 using only flip operations.How many optimal flip operations required in worst case.

You are given a convex polygon and an additional point. You know the x and y co-ordinates of all vertices of the polygon and the point. Find if the point is one of the vertices of the polygon in O(log N) time..

A circus is designing an act consisting of a tower of people standing atop one another’s shoulders. For practical and aesthetic reasons, each person must be both shorter and lighter than the person below her. Given the heights and weights of each person in the circus, what is the largest possible number of people in such a tower? Input(ht wt) : (65, 100) (70, 150) (56, 90) (75, 190) (60, 95) (68, 110) Output: The longest tower is length 6 and includes from top to bottom: (56,90) (60,95) (65,100) (68,110) (70,150) (75,190)

In a country in which people only want boys, every family continues to have children until they have a boy. if they have a girl, they have another child. if they have a boy, they stop. what is the proportion of boys to girls in the country?