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Sarah and Michael are a loving couple. One night Sarah playfully places three identical boxes on a table in front of Michael. Out of the three boxes, one contains a pearl and other two are empty. Michael is then allowed to pick any one of them. Now between the two boxes that remain on the table, at least one is empty. Sarah removes one empty box from the table. Now Michael must choose from the box he picked or the box on the table.

What box should Michael choose?

What box should Michael choose?

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In front of you, there are 9 coins. They all look absolutely identical, but one of the coins is fake. However, you know that the fake coin is lighter than the rest, and in front of you is a balance scale. What is the least number of weightings you can use to find the counterfeit coin?
**category** :
LOGIC

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You had an infinite supply of water and a 5 ml and 3 ml gallons.

How would you measure exactly 4 ml in least number of steps ?

How would you measure exactly 4 ml in least number of steps ?

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I can prove why 1 = 2

Step1. Lets say y = x

Step2. Multiply through by x xy = x2

Step3. Subtract y2 from each side xy - y2 = x2 - y2

Step4. Factor each side y(x-y) = (x+y)(x-y)

Step5. Divide both sides by (x-y) y = x+y

Step6. Divide both sides by y y/y = x/y + y/y

Step7. And so... 1 = x/y + 1

Step8. Since x=y, x/y = 1 1 = 1 + 1

Step9. And so... 1 = 2

How is this possible ?

Step1. Lets say y = x

Step2. Multiply through by x xy = x2

Step3. Subtract y2 from each side xy - y2 = x2 - y2

Step4. Factor each side y(x-y) = (x+y)(x-y)

Step5. Divide both sides by (x-y) y = x+y

Step6. Divide both sides by y y/y = x/y + y/y

Step7. And so... 1 = x/y + 1

Step8. Since x=y, x/y = 1 1 = 1 + 1

Step9. And so... 1 = 2

How is this possible ?

Difficulty Popularity

Suppose there is a Christmas tree and four angels are sitting on it amidst the other ornaments. Two of them have black halos and two of them have white halos. No body among them can see above their head. Angel A is sitting on the top branch and can see angels B and C sitting below him. B can see C who is sitting in a branch lower than his. Angel D is at the base of the tree and can't be seen due to the branches in between. Also, he can't see anybody as well.

If they are asked to guess the color of their own halo (they dont know that), who do you think will be able to deduce and speak up first with a right answer?
**category** :
LOGIC

If they are asked to guess the color of their own halo (they dont know that), who do you think will be able to deduce and speak up first with a right answer?

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Difficulty Popularity

In a closed jar, there are three strawberry candies, two mango candies and five pineapple candies. You can't see inside the jar. Now, how many toffees you must take out from the jar to make sure that you have one of each flavor?
**category** :
LOGIC

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Four people need to cross a dark river at night.

* They have only one torch and the river is too risky to cross without the torch.

* If all people cross simultaneously then torch light wont be sufficient.

* Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 minutes, 7 minutes and 10 minutes.

What is the shortest time needed for all four of them to cross the river ?

* They have only one torch and the river is too risky to cross without the torch.

* If all people cross simultaneously then torch light wont be sufficient.

* Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 minutes, 7 minutes and 10 minutes.

What is the shortest time needed for all four of them to cross the river ?

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You are stuck with the pirates who might even kill you on board. They give you a chance to survive. There are hundred black rocks and hundred red rocks. There are two empty sacks which are labelled as heads and tails respectively. You have to divide the rocks in two bags as per your wish. Then a fair coin will be flipped. If its heads, you will have to pick a rock on random from the sack labelled heads and if its tails, you will pick up from the tails sack. If you pick up a black rock, you will be freed and if you pick up a red rock, you will be killed.

How will you distribute the rocks so that your chances of survival are the best?

How will you distribute the rocks so that your chances of survival are the best?

Difficulty Popularity

There are two glasses in front of you. One of the glasses is full of coke and the other glass is full of lemonade. You take a spoonful of coke and mix it into the glass of lemonade. Now the lemonade glass has a mixture of coke and lemonade. You take a spoonful of that mixture and mix it inside the coke glass.

Now what do you think? - The glass with coke has more quantity of lemonade or the glass with lemonade have more quantity of coke mixed with it?

Now what do you think? - The glass with coke has more quantity of lemonade or the glass with lemonade have more quantity of coke mixed with it?

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