### #1 - Hard Adobe Interview Puzzle Question

There are a hundred statements.
First person says: At least one of the statements is false.
Second person says: At least two of the statements is false.
Third person says: At least three of the statements are false.
Fourth person says: At least four of the statements are false.
..
..
..
Hundredth person says: At least a hundred of the statements are false.

Analyzing it, how many statements do you think are false and how many are right?

The hundredth statement is surely false as it says that at least a hundred of the statements are false.

But in a situation if that is correct, then hundred statements cannot be right.
This implies that the hundredth statement is wrong and that the first statement is true.

Similarly ninety nine statements can’t be true as if they were correct, then two statements would become correct i.e. the first and the ninety ninth.

But the ninety ninth statement says that at least ninety nine are wrong.
This implies that the ninety ninth statement is false and that second is correct.

If we go on calculating in the similar fashion, we will come to the conclusion that:
The first fifty statements are right and the remaining fifty statements are false.

### #2 - Murder Crime Riddle

A dead body is found at the bottom of a multistory building. Seeing the position of the body it is evident that the person jumped off from one of the floor for attempting suicide.

A homicide detective is called to look after the case. He goes to the first floor and walks in the room facing the direction in which the body was found. He opens the window in that direction and flips a coin towards the floor.

The he goes to the second floor and repeats the process. He keeps on doing it till the last floor. Then, when he climbs down, he tells the team that it is a murder not suicide.

How did he come to know that it was a murder?

At each floor, he did the same task of opening the window and flipping the coin. If it was a suicide, then at least the window at any of the floor must have been left open by the person who jumped off. The present situation only suggests that someone pushed him off and then closed the window again.

### #3 - Philosophical Riddle

Alpha, Beta and Gamma are in a desert. Alpha don’t like Gamma and hence decides to murder him. He poisons the water supply of Gamma. Since it is the desert area, Gamma must drink or he will die of thirst.

Beta does not know of the actions of Alpha and also decides to murder Gamma. To succeed in his ill motives, he removes the water supply of Gamma so he dies of thirst.

Gamma dies due to thirst. Who murdered Gamma?

The answer to this question might sound more of a philosophical one.

It is Beta whose action led to Gamma's death directly. It was the scarcity of water that led to his death ultimately. It may be the circumstances prevailing his demise and not a specific person who killed him.

### #4 - Hardest Riddle Ever Made

Dr. Doom invited a group of puzzle fanatics in a party which was oriented for having puzzle oriented games. At night, he introduced the guests with a 'unique riddle'. A prize was offered for the one who solved it first.

The guests included six people named Tom Paul, Fox Obama, Jeremy Reener, Alex Murphy, Prim Pastor, and Ellen Page. The winner for the 'unique riddle' contest was to be announce after the dinner. So Dr. Doom stood up and started the announcement:

'Okay now everybody!'
'The winner of…'
'The Hardest Riddle Ever Event'

But before he could complete, the light went out and his voice was not heard without the mic by anyone. But they already knew who the winner was. Can you deduce the name of the winner?

The winner is Fox Obama.

Just analyze the first three statements of Dr. Doom and see the first alphabets of each word in each line.
O N E
T W O
T H R E E
Thus, the next statement must be the one whose initials are F and O to form FOUR.
Thus it is Fox Obama.
The last sentence must be:
'Fox Obama: Ultimate Riddler!'

### #5 - Tricky Logical Puzzle

I have one of the three numbers: 1, 2 or 3 in my mind. I speak only truth. You can ask me just one question for which I will only reply in yes or no or don't know. What question will you ask from me so that you are able to know the number?

You will ask, I am thinking of a number from 2 and 3. Is the number I am thinking of smaller than or equal to the number you have in your mind?

Now, if I reply no, then the number is 1.
If I reply yes, then the number is 3.
If I reply don't know, then the number is 2.

### #6 - BlackRock Interview Puzzle

In a party, there are five people and a whole round cake lying at the center of table. Only four people will make a cut and take their piece and the last one will get the remaining piece on the table. How can they make sure that everyone gets a 1/5th of piece?

Please refer to the picture. If the four people cut along with the line, everyone will get an equal piece.

### #7 - Critical Thinking Question

In a holy town, three temples sit in a row identical in almost every manner including a holy well in front of them. A pilgrim comes to visit the temples with some flowers in his basket.

At the first temple, he takes some water from the holy well and sprinkles it on the flowers to wash them. To his astonishment, the number of flowers in his basket doubles up. He offers a few of them at the temple and turns back to visit the second temple.

At the second temple, he again takes some water from the holy well and sprinkles it on the flowers to wash them. Again the number of flowers double up in number. He offers some of them at the temple and turns back to visit the third temple.

At third temple he repeats the process again and the number of flowers double up yet again. He offers all the flowers in the third temple.

Now, the pilgrim offered exactly the same number of flowers in all the temples. Can you find out the minimum number of flowers he must have had initially? How many flowers did he offer to god in each of the three temples?

Let us assume that there were x flowers present in the basket of the pilgrim and he offered y flowers at each temple. Now as per the details given in the question, the number of flowers when he came out of the third temple.

But the number of flowers when he comes out of the third temple must be (8x – 7y)

Thus (8x – 7y) = 0
8x = 7y

Now the minimum values that you can put by hit and trial are 7 and 8 for x and y respectively.

Thus, the pilgrim had 7 flowers in the beginning and he offered 8 flowers at each temple.

### #8 - Adobe Cool Logical Interview Puzzle

Suppose you are sitting in an interview and the interviewee asks you an aptitude question.

You have three buckets with capacity 4 liters, 8 liters and 10 liters and you have a large tank of water. Now you have to measure 3 liters of water precisely using those buckets. How will you do it?

It is impossible. The reason is that we are asked to measure 3 liters which is an odd number but the buckets we have can contain even liters of water only (4, 8 and 10). If you hoped to fill any of the bucket half, you will not be precise in measurement.

### #9 - Hard Calendar Puzzle

A contest is held on international level in December 2013. The finale of it is between an American and a British kid. Only name and date have to be mentioned on the paper for checking purpose. But when the checkers check it, they find out that both of them have same names. The papers cannot be told apart in any manner now.

What is the date of competition ?

The date is 12 December 2013. For any other date, the checkers would have been able to identify the papers. Why? Because the British people write dates in Day/Month/Year Format and the American people write date in Month/Day/Year format. On 12 December, the date and month will be the same and thus there is no way to distinguish when the names are same as well.

### #10 - Mentor Graphics Logic Interview Puzzle

There are hundred red gems and hundred blue gems. The blue gems are priceless while the red gems equals wastage. You have two sacks one labelled Heads and other Tails. You have to distribute the gems as you want in the two sacks. Then a coin will be flipped and you will be asked to pick up a gem randomly from the corresponding sack.

How will you distribute the gems between the sacks so that the odds of picking a Blue gem is maximum ?

All you have to do is put a blue gem in any one of the sack and the other blue gems in the other sack. Doing this will provide you a shade under 3/4 probability of picking up a blue gem.