#501 - Unique Relationship Puzzle

A man escapes from jail using help from his girlfriend. The investigators suspect four girls of being the man"s girlfriend.

Out of those four girls, one is his girlfriend who is lying. Two of the girls are completely innocent and are speaking the truth. One of the girls is the man"s sister who is helping the girlfriend lie. Following are the statements from all four of them:

Ariana: "Myrna is his girlfriend."
Jane: "Angelina is lying."
Angelina: "Ariana is lying."
Myrna: "Jane is not his sister."

Can you find out who is the man"s sister among them?

Unique Relationship Puzzle

Ariana is the sister and Jane is the girlfriend.

Suppose if Ariana is his sister and we know that his statement is false.
This will mean that Myrna is not his girlfriend.
If Angelina is telling the truth, then Ariana must be lying that we have already assumed.

If Jane is his girlfriend, then she must have spoken a lie as well.
This will mean Angelina is speaking the truth which is true in what we have assumed.

At last, Myrna said that Jane is not his sister which is also true as we have made the assumption already that Jane is his girlfriend.

In what we have assumed, all the statements fit perfectly and the given conditions are satisfied. If you make any other assumption, you will find that one or more conditions are not fulfilled.

#502 - Suspicious Mystery Riddle

A girl was sitting in her hotel room when she heard a knock on the door. She opened the door and found that a man was standing outside.
The man said, "Oh! I am really sorry, I thought this was my room."
He then walked through the corridor to the elevator. The girl did not know the man. She closed her door and called the security asking them to apprehend the man.
What made her suspicious of that man? He might have been genuinely mistaken.

Suspicious Mystery Riddle

The suspicion was natural. If the man thought the room was his, he would have tried the keys and not knocked on the door.

#503 - count the number of f's in this sen

This is a simple one. You just have to count the number of F in the given sentence.

Finished Files are the result of years of scientific study combined with the experience of years.

How many did you count?

There are a total of six F letters in the given sentence. If you got it wrong, read the sentence again.

#504 - Crazy Trick Adam Riddle

Adam and his wife were living in a rural place. On a certain day, Adam wife fell ill and he called the local doctor. When the doctor picked up, he said, "Doctor, my wife is ill. She might have appendicitis."

"This cant be possible! I took out her appendix two years ago myself," the doctor explained.

When diagnosed, Adam wife was found to have appendicitis. How can this be possible ?

This is possible because Adam had remarried.

#505 - Find The Movie Picture Puzzle

Can you find out name of the movie that is hidden in this picture?

Find The Movie Picture Puzzle

Source Code.

If you are a technical person or even if you manage websites or blogs, you clearly know what I shown in the picture.

#506 - Two Rectangles Matchsticks Puzzle

In the given figure, move three matchsticks so that the resulting figure contains two rectangles.

Two Rectangles Matchsticks Puzzle

Refer the picture to see how we have done it.

#507 - Hard JigSaw Probability Question

Welcome to the deadly game placed by the serial killer Jigsaw. You are tied to a chair and you cant move your hands or get up. Jigsaw shows you an empty gun with all the six chambers empty. He puts two bullets in the adjacent chambers and then close the barrel. He spins it and then point the gun to your head. The first shot snaps. It was an empty slot.

Now before pressing the trigger again, he asks you whether to pull the trigger or to spin the barrel first and then pull the trigger.

If the second shot goes empty, you will be spared by him. What will you choose?

Also think what will you chose if the bullets are not in the adjacent chambers.

1) If bullets are placed in the adjacent chambers:
Let us do this step by step. The possible combinations for the bullets are:
1, 2
2, 3
3, 4
4, 5
5, 6
6, 1

Now if you ask not to spin the barrel:
The first shot went empty and thus the events (6, 1) and (1, 2) dont have bullets in them. Now only four possible shots are available.
Thus, P (death) = 1/4 = 0.25
P (Survival) = 1- 0.25 = 0.75

If you ask to spin the barrel:
Since you were not hit in the first shot, therefore
P (death) in the second shot = 2/6 = 0.33
P (Survival) in the second shot = 1 - 0.33 = 0.77

Clearly, you will have better chances of survival if you ask him not to spin the barrel.


2) If bullets are not placed in the adjacent slots:

If you dont spin it:
You were not hit in the first shot. Thus,
P (Death) in second shot = 2/5 = 0.4
P (Survival) in second shot = 1 - 0.4= 0.6

If you spin the barrel
P (death) in the second shot = 2/6 = 1/3 = 0.33
P (Survival) in second shot = 1 - 0.33 = 0.77

Here, you have better chances of survival if you chose to spin the barrel.

#508 - Thoughtworks Interview Logic Puzzle

There are ten boxes containing some balls. Each of the ball weighs exactly 10 grams. One of those boxes have defective balls (all the defective balls weigh 9 grams each).

An electronic weighing machine is provided to you and you are allowed only one chance of weighing on it.

How will you find out which box has defective balls ?

Let us simplify boxes by naming them from 1 to 10.
Now the trick here is to pick different number of balls from different boxes. So to simplify things, we will pick balls corresponding to box number.

Thus, pick 1 ball from Box 1, 2 balls from box 2, 3 balls from box 3 and so on. You will have 55 balls altogether. Now, put them all in the balance.

If all balls were weighing accurate 10 grams, the total weight of the 55 balls would have been 550 grams. But one of the box must have had the defective balls.

Suppose if the defective balls were in box number 2, then the total weight will be 2 grams less than 550. If the defective balls were in box 8, the total weight will be less than 8 grams from 550. In this way, you will be able to identify which box has the defective balls.

#509 - Two Rectangles Two Matchsticks Puzzle

Can you move two matchsticks in the given picture in a manner that the resulting arrangement comes up with two rectangles?

Two Rectangles Two Matchsticks Puzzle

See the image to find out how we did it. PS: Square is also a rectangle.

#510 - Missing Number Row Sequence

Can you find the missing number in the third row?
35 20 14
27 12 18
5 2 ?

The missing number is 20.

Here (left number / middle number) * 8 = right number
E.g. (35 / 20) * 8 = (7/4) * 8 = 7 x 2 = 14
You can follow the same to find out the remaining digit.