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.)
A pocket watch is rotated voluntarily. See the picture given with this question. If the colored hands represents the hour, second and minute hands of the watch, can you determine the time? Hint: It's somewhere in the afternoon.
There are sixty marks, so logically each mark is there for a minute.
Now, the hour hand is on a mark when the minute hand is on [0, 12, 24, 36, 48]. When the minute hand is on a mark, the second hand is on noon. But the blue hand cannot be the second hand. (It would be on noonand it would be eighteen minutes past/before a full hour.)
a) Green is on twelve. Red indicates twenty four minutes. Blue indicates forty two [minutes] = 8 + 2/5 [hours] = 8:24
b) Green is on twelve. Red indicates thirty six minutes. Blue indicates eighteen [minutes] = 3 + 3/5 [hours] = 3:36
c) Red is on twelve = 3:36
d) Red is on twelve = 8:24.
Also, keep in mind that the watch can be rotated upside down as well.
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.
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.
Find the logic in the figure given and find out the missing one.
Every single symbol is associated with each another's position. If you look closely, you will find out that the upside-down spade symbol is always used on the left of a right-side-up heart.
An innocent person is accused of a murder in a village. The head of the village knows that the man is innocent but he also knows that the truth may be uncovered one day that his own son is the murderer. Just to hinder the attention of people, he offers a chance to the man. In a jar, he places two chits of paper – one reads innocent and the other reads guilty. Among all the other villagers, he asks the accused person to pick up a chit. He says that their almighty god is watching them and the person will meet his fate truthfully with the chit.
Of course, the village head is cheating. He has put both chits with Guilty written on them. The accused person somehow suspects the same. But no one will believe him if he tries to expose the head. Also, he knows no one will look at the other chit once his fate is decided by his selected chit.
What should he do to prove that he is innocent?
When asked to draw a chit, the person will pick any and then without looking at it, he will swallow the chit. In this manner, to decide his fate, they will have to look at the other chit which reads Guilty. Thus people will understand that the chit which he ate had innocent written over it.
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.
There are a hundred statements.
First person says: At least one of the statements is false.
Second person says: At least two of the statements is false.
Third person says: At least three of the statements are false.
Fourth person says: At least four of the statements are false.
..
..
..
Hundredth person says: At least a hundred of the statements are false.
Analyzing it, how many statements do you think are false and how many are right?
The hundredth statement is surely false as it says that at least a hundred of the statements are false.
But in a situation if that is correct, then hundred statements cannot be right.
This implies that the hundredth statement is wrong and that the first statement is true.
Similarly ninety nine statements can’t be true as if they were correct, then two statements would become correct i.e. the first and the ninety ninth.
But the ninety ninth statement says that at least ninety nine are wrong.
This implies that the ninety ninth statement is false and that second is correct.
If we go on calculating in the similar fashion, we will come to the conclusion that:
The first fifty statements are right and the remaining fifty statements are false.
In the figure given with this question, place the numbers from 1 to 19 in the circles in a manner that each side of the triangle sums up to 17.
A dead body is found at the bottom of a multistory building. Seeing the position of the body it is evident that the person jumped off from one of the floor for attempting suicide.
A homicide detective is called to look after the case. He goes to the first floor and walks in the room facing the direction in which the body was found. He opens the window in that direction and flips a coin towards the floor.
The he goes to the second floor and repeats the process. He keeps on doing it till the last floor. Then, when he climbs down, he tells the team that it is a murder not suicide.
How did he come to know that it was a murder?
At each floor, he did the same task of opening the window and flipping the coin. If it was a suicide, then at least the window at any of the floor must have been left open by the person who jumped off. The present situation only suggests that someone pushed him off and then closed the window again.