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Puzzles Logic

3 Bindis

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There are 3 students Anirban, Bala and Chandu sitting in a circle. Their teacher has 5 bindis with her, 3 white ones and 2 black. She asks all of them to close their eyes and then she sticks one white bindi each to each one of their foreheads. Now they are asked to open their eyes. 
They are sitting such that all of them face each other. Each one can watch the bindis on the other two's foreheads but not on their own. Neither are they allowed to know of the color of the bindis the teacher is left out with. 

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To prove their intelligence, they have to tell the teacher the color of the bindi on their own forehead.

If you suppose, lets say after a while one of them (let's say Bala) proves herself clever by being able to answer rightly the color of her bindi, i.e. white. The question is how could she logically arrive to that conclusion?

Also try to figure out how will the students find out the colour of their bindis if the bindis are not all white?

5 Pirates and Gold

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5 pirates on a ship have a treasure of 100 gold coins. They all have different ages.
One day, they decide to split the coins using the scheme described below:
The oldest pirate proposes how to share the coins, and all pirates remaining will vote for or against it.
If 50% or more of the pirates vote for it, then the coins will be shared that way. Otherwise, the pirate proposing the scheme will be murdered, and the process would be repeated with the pirates that remain.
Assuming that all 5 pirates are intelligent, rational, greedy, and do not wish to die, what will happen? How will the coins be split?

Camel and 3000 bananas

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The puzzle goes like this:

A camel has 3000 bananas, which it has to take from A to B. A and B are separated by a distance of 1000 km.
The camel can take only 1000 bananas with it at one time and for every km it needs one banana to eat.

What is the maximum number of bananas it can take to B?

Calendar Cube

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You are a new employee in a website designing company. They don't just need a employee who is creative, but also a one who has strong logical skills. You are asked to design a calendar using two cubes which represents all dates of a month (remember, just dates and nothing else) from 01 to 31. Now, you have to make use of all the sides of the cube and put the numbers on the sides in a way that any date can be formed using two dices. 

Trace the cube

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If you take a marker & start from a corner on a cube, what is the maximum number of edges you can trace across if you never trace across the same edge twice, never remove the marker from the cube, & never trace anywhere on the cube, except for the corners & edges ?

Last Updated on Saturday, 11 December 2010 20:40

Number Pyramid

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Number Pyramid is composed of the 10 different numbers 0-9 with the top row consisting of one number resting on a second row of two numbers resting on a third row of three numbers over a bottom row of four. For example, a Number Pyramid could be: 

9
8 7
6 5 4
3 2 1 0

Given the clues below, can you determine the composition of the Number Pyramid?

  1. The four numbers in row 4, none of which is 6, sum to 12.
  2. The leftmost number in row 3 minus the rightmost number in row 3 equals 7.
  3. The number at the apex of Number Pyramid minus the rightmost number in the bottom row equals 6.
  4. The number at the apex plus the two numbers in the second row sum to 17.
  5. The rightmost numbers in the four rows of Number Pyramid add to 15.
  6. The leftmost number in row 4 minus the second leftmost number in row 4 equals 1

 

Monkey and Bullet

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A very common and simple puzzle. It used to be asked interviews a lot, earlier. Remember your physics?? ;)

There is a monkey in a forest hanging by a branch of a tree. There is also a hunter with his gun looking for a kill. Now, the hunter spots the monkey, takes aim with the help of the laser pointer on the gun, and fires at it.

At exactly the moment that the shot is fired, the monkey lets go of the tree branch and starts to fall freely towards the ground. Will the monkey dodge the bullet and survive the shot?

Height of monkey from ground - h, distance of hunter from base of tree - d, Velocity of bullet - v, and acceleration due to gravity - g. You can assume the monkey to be a point object.

The moment that the shot is fired = the time when the bullet starts its motion, and is not to be interpreted as the time when the monkey heard the shot. So velocity of sound does not come into play. :D

The parrot sequence

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Parul owns a clever parrot called Pasha which can call out loud numbers read from a piece of paper displayed in front of him. One day Parul wrote the digit 1 on a sheet and showed it to Pasha, who answered “one 1”. Parul wrote down the parrot’s answer “one 1” or ‘11’ on a new sheet and showed it to Pasha who readily answered “two 1’s”. Again, Parul wrote down his reply “two 1’s” or ‘21’ on another sheet and showed it to Pasha, who replied “one 2, one 1” or ‘1211’... Parul continued this experiment until he obtained a long sequence of numbers 1, 11, 21, 1211, 111221, 312211, etc... in which each next term is obtained by describing the previous term.

Can you say how many sheets of paper Pasha will need until:

a) the string of digits 333 appears, or
b) the digit 4 occurs in the sequence?

Can you also confirm that the last digit of any term of the parrot sequence is always 1?

Last Updated on Wednesday, 27 October 2010 19:48

Measure time by burning ropes

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You are given 2 different ropes, each having varying thickness through the length. Despite the two ropes being different, it is given that they both burn for exactly 30 seconds each. You have to measure a time period of 45 seconds using these two ropes. Remember, cutting the rope into half doesn't mean that the half will burn in 15 seconds since the thickness is not uniform.

Last Updated on Wednesday, 03 November 2010 11:55
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