Analytical Reasoning Puzzles With Answers

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.

Refer the picture to see how we have done it.

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.

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.

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

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.

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.

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

The figures shows how to do it.

The murderer is Fred.

Andy is the seer so exclude him.
Now, if Brian was murderer, then Chris should have been killed.
Now we know that Chris was blocked. Therefore he cannot be the murderer.
Daniel cant be the killer as he was killed himself.
This leaves with Fred.