Phrasing the words of a brave captain,'We voyaged through the never ending seas. The funny incident was when two of my sailors were standing on the opposite sides of the ship. One of the sailor was looking on the west and the other at east. But at that very time, they could see each other clearly as well.'
How can that be possible?
This can be possible if they were looking across the deck at each other and were not looking at the sea.
There are three boxes of different sizes with three cupcakes inside each of the boxes in Mandy’s kitchen. At night her daughter wakes up and goes to the kitchen. She opens a box and eat all the three cakes.
But in the morning Mandy finds out that each box still had three cupcakes. How?
Mandy's daughter ate cupcakes from the largest box and then she kept a one of the smaller box in the empty box. In this way, each box still had three cupcakes when Mandy opened the boxes.
There is a jar in which there are two types of candies – 20 blueberry and 16 strawberry. You perform the following steps:
1) You take out two candies.
2) If the two candies are of same flavor, you add a blueberry one otherwise, you add the strawberry one.
You repeat these two steps till there is just one candy remaining in the jar. Which flavored candy will be left?
Also, if you began with 100 blueberry candies and 93 strawberry candies, which flavor would have been the last one to remain?
Let us suppose that there are x blueberry candies and y strawberry candies. While removing the candies, there can be three possibilities:
1) 2 blueberry candies. In this case, you will replace one blueberry candy and so the jar will have x+1 blueberry and y-2 strawberry candies.
2) 2 strawberry candies. In this case, you will replace 1 blueberry candy and so the jar will have x-1 blueberry candies and y strawberry candies.
3) 1 blueberry and 1 strawberry. In this case, you will replace a strawberry candy and so the jar will have x-1 blueberry candies and y strawberry candies.
In this way at each step, we are either removing a blueberry candy or replacing 2 strawberry candies by 1 blueberry candy irreversibly till there is only one candy left. Thus each strawberry candy is equivalent to 2 blueberry candies.
Therefore, if there are odd number of strawberry candies, the last candy will be strawberry and if there are even number of strawberry candies, the last one will be a blueberry one.
There is a very small room in which four cats are sitting on the four corners. Opposite to each cat are three cats and at each cat's tail, is one more cat.
How many cats are sitting in that room all together?
Four cats.
We told you that the room is very small. Each cat is sitting near the tail of the cat in the adjacent corner
A couple went on for a climbing trip. But only the husband returned from the vacation and said that his wife slipped off while climbing and died. On investigating, the local sheriff arrested him saying, 'Your travel agent called. You murdered your wife.'
The man did not inform anyone about the trip. Then how did the agent was so sure that it is a murder?
The man bought only one way ticket for his wife whereas he bought two way ticket for himself. It means that he was sure that he will be returning alone.
In a box, there is a jumble of 7 red balls, 6 blue balls, 5 green balls, and 4 yellow balls. What is the minimum number of balls, will you have to pick up so that you have at least 4 balls of the same color?
We will have to consider the worst scenario which is 12 + 1 = 13.
You will have to pick up 13 balls to be absolute sure that you have at least 4 balls of same color
The king of Octopuses has servants who have six, seven or eight legs. The distinguishing characteristics of the servants is that the one with seven legs always lie but the one with either six or eight legs speak the truth always.
On a certain night, four servants meet and converse:
The black one says, 'We have 28 legs altogether.'
The green one says, 'We have 27 legs altogether.'
The yellow one says, 'We have 26 legs altogether.'
The red one says, 'We have 25 legs altogether.'
Can you identify the color of the servant who is speaking the truth?
The green servant is telling the truth.
To prove it, let us first assume that one of them is telling the truth. It is obvious that three of the four servants are lying as they are disagreeing with each other.
Suppose if the black servant is telling the truth. In that case, the black one is having either 6 or 8 legs. And each of the other octopus is lying will then have 7 legs. In this case, the total number of legs will be 6 + 7 + 7 + 7 = 27 legs or 8 + 7 + 7 + 7 = 29 legs. But the black servant said that they have 28 legs all together. Thus he is lying.
Now follow the same logic with the remaining three servants as well assuming all of them truthful one by one. You will realize that only the Green octopus is telling the truth.
In the picture given with this question you will find a square piece of a paper with a hole that is denoted by the circle on the top right side.You have to cut the paper in a manner that it forms two and only two separate pieces of paper and then rearrange the pieces in a manner that the holes comes in the center of the paper.Can you do it?
The first image in this answer clarifies where to make the cut to divide the paper into two separate pieces. The second image is the rearranged position if you rotate the right piece of paper to 180 degrees. In this manner, the hole is now in the center.
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.
A man plots the murder of his wife. His plan is full proof. Nobody saw them leaving their house. He stabbed her with a knife while driving. She died on the spot. He threw her body in a valley. He threw the knife carefully wiping his finger prints on a random garbage bin. Then he went back to his home and no one was watching him this time as well.
After an hour, he was called by the local police department who informed him that his wife was murdered. They asked him to reach the scene of crime immediately. But as soon as he arrived at the crime scene, he was arrested by them.
How did the police know that he himself is the murderer?
It is clear that the police never told him where the crime scene was. But still he reached the correct place. It means that he knew about the crime and he himself is the murderer.