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Which Letter is Missing ?

Which letter is missing from this sequence:

A , A , A , A , _ , A , A , A , A , A , A ,U

Note: the answer is not A or U.

Pick a Good Candy !

How do you place 50 good candies and 50 rotten candies in two boxes such that if you choose a box at random and take out a candy at random, it better be good!
That means probability of choosing a good candy should be highest. There is no restriction in putting the candies in 2 boxes. Any number of candies can be put in any box.

World with All Girls !!

In a world where everyone wants a girl child, each family continues having babies till they have a girl.
What do you think will the boy to girl ratio be eventually?
(Assuming probability of having a boy or a girl is the same)

Playing with Invisible Dice

You have 2 dice. One regular die and a an invisible die. Numbers 1 to 6 are written on the regular die.But you don't know what's written on the invisible dice.
After tossing both, I speak the sum of outcome of both die. It so happens that the outcome is always an integer between 1 to 12, with equal probability (1/12 each).
Can you guess what are the numbers printed on special invisible dice?

Alex bought a bag of apples

Alex bought a bag of apples on Saturday, and he ate a third of them. On Sunday he ate half of the remaining apples.
He ate one more on Monday and one more on Tuesday, and then ate half of the remaining apples on Wednesday. On Thursday he looked in the bag and saw that there was just one apple left.
How many apples did the bag have to begin with?

Spiderman's Girlfriends

Spiderman has two girlfriends, Mary Jane & Gwen Stacy.
After completing every mission, he rushes to the central subway. Since spidey is a nice man, much impartial, he takes which-ever train arrives first. From subway, one series go towards Mary's place, and another series move towards Stacy. Trains from either series appear every 10 minutes. Also, Peter Parker sticks with the train which arrives first.
But somehow, he notices that he is spending 9 times more dates with Mary Jane than Stacy. Can you explain why?

Add the Missing Numbers

Put the numbers 6, 10 and 12 to the correct place in the below sequence and make it complete.

1,  2,  4,  5,  9,  3,  7,  8,  11

Which of the Triangles fits the Missing Triangle?

Probability of Secret PIN

Suppose everyone in the class chose a secret 3-digit PIN number. What is the probability that everyone chooses a different number? Assume there are 120 students in the class.

Three Choices with One Coin

At a restaurant, how could you choose one out of three desserts with equal probability with the help of one single coin?

Who is the man's Sister?

A man escapes from jail with help from his girlfriend. Four girls are accused of being the man's girlfriend. His girlfriend is lying. Two girls are innocent and telling the truth. The other girl is the man's sister who is helping the girlfriend lie. Who is the man's sister?

Amanda: "Melinda is his girlfriend."
Vanessa: "Eva is lying."
Eva: "Amanda is lying."
Melinda: "Vanessa is not his sister."

Birbal Puzzle: Who was the real king ?

The King of a distant land had heard that Birbal was one of the wisest men in the East and so desired to meet Birbal. He sent Birbal an invitation to visit his country.

In due course, Birbal arrived in the distant kingdom. When he entered the palace he was flabbergasted to find not one but six kings seated there. All looked alike. All were dressed in kingly robes. Who was the real king?

The very next moment he got his answer. Confidently, he approached the king and bowed to him.

How did Birbal know who was the real king?

A Farmer Challenges an Engineer a Physicist and a Mathematician.

A farmer challenges an engineer, a physicist, and a mathematician to fence off the largest amount of area on earth using the least amount of fence.

The engineer made his fence in a large circle and said it was the most efficient.

The physicist made a long line and said that the length was infinite. Then he said that fencing half of the Earth was the best.

The mathematician laughed at the others and with his design, beat the others. What did he do?

7 Gold Rings Puzzle

You arrive at a hotel and have 3 sets of golden rings. The first set of rings has 4 rings, the second set has 2 rings and the third only has one ring. You cannot take these sets of rings part, You cannot exchange them for a different form of currency, and the hotel clerk has no change. You want to stay at the hotel for 7 nights, and you have to pay one gold ring for each night that you stay. You cannot pay in advance, or all at once at the end of your stay. How do you pay for your 7 nights at the hotel?

Parrots and Cages Puzzle

Tina has some parrots and some cages for the parrots.
If she put 4 parrots into each cage then she will have 1 cage left.
If she put 3 parrots into each cage then she will have 1 parrot left over. How many parrots and cages does she have?

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