#501 - 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.

#502 - 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.

#503 - 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.

#504 - 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.

#505 - 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.

#506 - 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.

#507 - 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.

#508 - Confusing Probability Puzzle

You along with your friend are standing in front of two houses. Each of those houses inhabits a family with two children.

Your friend tells you the below two facts:
1) On your left is a family that has a boy who likes accounts but the other child loves science.
2) On the right is a family with a seven year old boy and a new born baby.

You ask him, "Does either of the family have a girl?"

To this he replies, "I am not quite sure. But can you guess that? If you are right, I will give you $200."

Which family do you think is likely to have a girl ?

1/2

In the house on the left, there are three possibilities:
Younger Older
Girl Boy
Boy Girl
Boy Boy

We cant have a girl-girl option because it has been mentioned that there is at least one boy in that house. Now all these outcomes are equally likely, and we have two events with girls, the chances of having a girl in the left house is 2/3.

In the house on the right, there are two possibilities because we already know that the older child is a boy:
Younger Older
Girl Boy
Boy Boy
Here the chances are 1/2.

Thus you must choose the house on the left for better chances at winning.

#509 - Knights Tour Chess Puzzle

In the picture, you can see a chess board. On the top left position, the K marks a knight. Now, can you move the knight in a manner that after 63 moves, the knight has been placed at all the squares exactly once excluding the starting square?

Knights Tour Chess Puzzle

As you can see in the picture, the strategy used here is to cover the border first and then move to the inner squares.

#510 - Four Squares Matchsticks Puzzle

In the formation, you can see a few arranged matchsticks. Can you form three squares by moving just three matchsticks ?

Four Squares Matchsticks Puzzle

The figures shows how to do it.