There are four numbers given to you: 2, 3, 4 and 5. You are allowed to use only two mathematical symbols: + and = and come up with a mathematically true equation.
Can you do it?
PS- You can't repeat the symbols or numbers.
3^2 = 4 + 5
(^ is used for squaring the term, it is not a mathematical symbol.)
In a family supper, a grandfather, a grandmother, two fathers, two mothers, four children, three grandchildren, one brother, two sisters, two sons, two daughters, one daughter in law, and one mother in law need to sit at a table.
There are only seven chairs available at the place. How many more chairs do they have to borrow so that everyone can sit down together for the suppers if everybody requires a separate chair?
No other chair is required as there are only seven people:
A Grandfather married to Grandmother.
They have a son who is married to a woman.
Together, they have three children - One son and two daughters.
These are the only seven people
While handling a project, the landscaper is asked by the owner of the mansion that he wants four trees in front of his mansion that are exactly equidistant from each other.
How will he do it?
He will have to form the shape of a tetrahedron. This means that, he will plan three trees on the vertices of an equilateral triangle and then plant one at the exact center. In this way, all the trees will be equidistant from each other.
A family is trapped in a jungle. There is a bridge which can lead them to safety. But at one time, the bridge can only allow two people to pass through. Also, all of them are afraid of the dark and thus, they can’t go alone.
Father takes 1 minute to cross, mother takes 2 minutes, son takes 4 and the daughter takes 5 minutes. While crossing the time taken will be according to the slower one. How can they all reach at the other side in the minimum possible time ?
12 minutes
Father and Mother goes first: 2 minutes.
Father comes back: 2+1 = 3 minutes.
Both children go to mother: 3 + 5 = 8 minutes.
Mother comes back to Father: 8 + 2 = 10 minutes.
Mother and Father go: 10 + 2 = 12 minutes.
Thus, all of them reach the other sides in 12 minutes.
Calculate the number of degree between the hour hand and the minute hand of an analogue clock that is displaying a time of 3:15 at present.
This question can be a bit tricky. But if you pay attention, you can solve it. When fifteen minutes have passed after three, the hour hand must have moved exactly one fourth of an hour. Thus both the hands will make an angle of 7.5 degree between them.
Daniel walks into a movie theater. While in the movie, he suddenly smiles delightfully. About a couple of minutes later, he seems shocked. He walks out of the theater, goes to a bridge and jumps over the edge killing himself.
Why did he do it?
This puzzle can only be solved with lateral thinking, there is no logical reasoning behind it.
Daniel had been the father of two identical twins named Justice and Damien. Ironically, both of them had starkly opposite temperament. While Justice was kind and generous, Damien was quite violent and rude.
On a certain day, Justice approached his father and told him that Damien had killed a man. Daniel rushed to the crime scene with Justice and saw Damien huddled over a dead man. Rage took Daniel over and he started fighting with his son eventually killing him accidentally. When the police reached the crime scene, he arrested Daniel and he was put in prison for ten years. He received a note from Justice while he was in prison in the very first month. The note said that Justice could never forgive his father for what he did with Damien and that he will never see him again.
After moving out of the prison, Daniel came to know that Justice had become a junior film star. He also came to know that a film starring him in a minor role was running in the theater. He quickly bought the ticket to the nearest theater and went inside the hall filled with excitement. When he saw Justice on the silver screen, he could not help but smile feeling proud of his son. But soon after the camera zoomed over the back of his neck and he saw a birthmark that belonged to Damien.
He understood that in reality, Damien had killed the man and the one whom he father took as Damien was actually Justice trying to save the man. He is shocked at the revelation and struck with grief. Thus he decides to kill himself by jumping from the bridge.
Adam gave half of the apples he had plus one more to Eve. He gave half of the remaining ones plus one more to Diana. Now, Adam was left with just one apple.
Can you find out how many did he have in the beginning?
10
In such type of questions we can come to a conclusion by working our way backwards.
He is left with one apple in the end. He gave half of what he had plus one to Diana. If we remove the extra one, the he must have had two apples. Since now both of them have half of the remaining ones, it must be 2 * 2 = 4 apples.
Again move back. Adam gave half of what he had plus one extra to Eve. Thus if we remove that extra one and give it back to Adam, then Adam must have 5 apples. Since he gave half to Eve, it means he must have had 5 * 2 = 10 apples in the beginning.
Thus Adam had 10 apples in the beginning.
On a certain island, people are gifted with assorted eye colors. There are a hundred green colored and a hundred grey colored pair of eyes. On that island, there is no mirror available. Thus no one knows the eye color of their own. They could have asked each other but that is prohibited. They are not allowed to converse with each other. However, they can study and analyze other's eyes. They don't even know the statistics and so it is believable to them that their eyes can be blue as well. There is a chance of freedom from the island. If anyone is able to guess the color of his own eyes correctly, he will be set free and can leave the island.
On one particular day, an outsider comes to the island and makes an announcement that he has seen someone with grey color eyes. What will happen now?
If there is only one person with grey colored eyes, he will see all other people and find out that no one has grey eyes. Thus he will come to know that he himself has grey eyes. Thus, he will leave the island that very day.
If there are two people with grey eyes, they will find only one pair of grey eyes and will think that that is the person with grey eyes. So they both won't leave the island. On the next day however, they will see that no one left the island and they will understand that both of them has the same eye color that is grey color.
Now through induction, since there are 100 people with grey eyes, all of them will leave the island on the 100th day after the announcement was made by the outsider.
You ask your friend to pick a random number and you have to make five guesses in order to find the number. You write all your guessed numbers on a paper and the differences between the guessed number and the picked number is written on another paper.
After that, one number is erased from each of the paper. Now there are only four numbers on each paper:
Guesses: 27, 32, 44, 45
Differences: 5, 7, 10, 13
Can you find out what is the number?
37
The number is 37.
The missing guess can be either 24 or 50 and the missing difference is 8.
Bill bought a new car. He has a habit of eating ice cream from a particular ice cream shop while returning home from office. Whenever, he eats strawberry ice cream, he faces no problem. But whenever, he eats chocolate ice cream, the car starts giving problem. At first, he thinks, it is just a co-incidence but when this awkward incident happens for 3-4 times, he reports this problem to the company.
The mechanic of the company checks but finds no problem at all. The next day, when he stops by to eat chocolate ice cream, the car again starts giving problem.
Can you find the possible reason?
This is because the queue for the chocolate ice cream is very long. Thus, the engine gets cold and becomes troublesome. While the queue for strawberry ice cream is short.