I had an infinite supply of water and a 5 liters and 3 liters jars.
How would you measure exactly 4 liters in least number of steps ?
1. Fill 5 litre jar ( 5j - 5, 3j - 0)
2. Transfer to 3 litre jar (5j - 2, 3j - 3)
3. Empty 3 litre jar ( 5j - 2, 3j - 0)
4. Transfer 2 litre from 5 litre jar to 3 litre jar (5j - 0, 3j - 2)
5. Fill 5 litre jar(5j - 5, 3j - 2)
6. Transfer 1 litre from 5 litre jar to 3 litre jars(5j - 4, 3j - 3)
Is the statement valid that it does not matter how much older a sibling is, eventually the younger one will be half as old as the older one ?
The statement is true only if both of the siblings live till the younger one is as old as the older one was when the younger was born.
A shopkeeper allows people to buy a bottle of cold drink in exchange of five empty bottled. A guy had a party at home and he managed to spend 77 cold drink bottles in the party. Now he has 77 empty bottles with him.
How many bottles do you think he can buy in exchange of those 77 empty bottles ?
He can purchase 19 new bottles in return.
He will get 15 bottles after returning 75 empty bottles and will be left 2 empty bottles.
Now, the 15 bottles when empty will get him 3 more bottles.
The three empty bottles will get him another bottle. Remember he had 2 empty bottles as well.
There is a 2 x 8 chocolate bar I have with me. I can break this bar along the length or the breadth. Now, I want to obtain 1 x 1 pieces.
How many times do you think I need to break it to get what I want ?
15
You can calculate it using old school way. However if you want to solve using logic, you can look below:
There is one piece of chocolate and we need exactly 2 x 8 = 16 pieces.
Whenever you break that bar, you will get one more piece. Thus, you will need to break it (16 - 1) = 15 times.
A king sentenced a man of death sentence for some crime he had committed. Known for his kindness, the king told the culprit that he had a choice to die through a way he decides.
The culprit was clever and said something that saved him from the death. What method do you think he must have chosen for his death ?
The culprit chose to die of an old age.
A river should be crossed by a father, a mother and their two sons and two daughters.
There are some rules that should be followed while crossing the river. There can be only two people in the raft while crossing. The daughters cannot be with their father unless there is the presence of the mother. The sons cannot be with their mothers unless the father is present. Unless the guard is on the board, the criminals cannot be with any of the family members. Only the adults like the father, the guard, and the mother knows to use the raft.
How will they cross the river?
The guard and the prisoner cross the river
The guard comes back
The guard and the girl cross the river.
The guard and the prisoner comes back.
The mother and the girl cross the river.
Mother comes back
The mother and the father cross the river
Father comes back
The guard and the prisoner cross the river
Mother comes back
The father and the mother cross the river
Father comes back
The father and the boy cross the river
The guard and the prisoner comes back
The guard and the boy cross the river
The guard comes back
The guard and the prisoner cross the river.
Mr. Buttons was all set to go to the village of Buttonland to meet his friend. So, he packed his bags and left for the village at 5 in the morning. Upon travelling on a road for miles, he came across a point where the road diverged into two. He was confused on which road to take. He gazed around and he saw two owls sitting on a branch. He thought he could ask for directions for the village from the two owls. So he went to the tree. There he saw a sign which read, "One owl always lies, and one is always truthful. They both fly away if you ask them more than 1 question."
Mr. Buttons was caught in the dilemma of what to ask? And from which owl to ask, since he only had one question. What should Mr. Buttons ask?
Ask any of the owl, "if I would ask the owl sitting next to you: which is the road to
the village, what would it answer?"
If you ask this to the lying owl, it will point you in the wrong way.
If you ask this to the one who speaks the truth, it will also point you in the wrong way.
Thus, ask the question and take the other road. You will reach the village.
In order to complete the racing competition, the London racetrack has to submit its top and the most famous three horses to win the competition. Due to a electrical storm, all the records are cleared and no one knows which horse holds the record. They all look identical and it becomes even more difficult to differentiate the horses. There are 25 horses in the London racetrack. But there can be only five horses at a time on the track. What will the least number of races that can be conducted to find out the three fastest horses?
The numbers of races are 7.
There is a river to cross using a river raft and there are eight people (father, mother, policeman, thief, 2 daughters and 2 sons). No one knows to operate the raft except the adults and also excluding the thief. Only two people can go in the raft at a time. The raft should keep coming back and forth in order to pick and drop the people.
Rules to be followed:
Father: the father cannot stay in the raft or outside the raft without the presence of the mother.
Mother: the mother cannot stay in the raft or outside the rat without the presence of the father.
Thief: the thief is not allowed to stay with any of the family member unless there is a policeman.
Policeman: the policeman can travel with anyone.
2 sons and 2 daughters: they are not allowed to travel in the raft without the presence of any adult. They cannot either travel in the presence of only thief without the policeman. The sons cannot be with their mothers without their fathers supervision. The daughters are not allowed to be there with their fathers without the supervision of their mothers. But the daughters and the sons can be left unsupervised (as long as the other rules are applied).
What is the sequence that the people should follow in order to cross the river through the raft keeping in mind all the rules?
The rules are applicable not only in the raft but also outside the raft.
The following letters are assigned to respective person. Father (F), mother (M), thief (t), policeman (p), sons (s1 & s2), daughters (d1 &d2). And imagine that they are starting from the eastern side of the river |.
During the first trip, t will be taken across the river by P. The rules are still kept. After leaving t, P will return. So now it is t | P, M, d1, d2, s1, s2, F
In the second trip, d1 will be taken by P across the river and leave her back. But t will be brought back. Now it is d1 | P, F, M, d2, s1, s2, t
During the third trip, d2 will be taken across the river by M and will return. Now it is d1, d2 |P, M, F, t, s1, s2
In the fourth trip, F and M will cross the river together and M will stay back and F will return. Now it is M, d1, d2 |P, F, t, s1, s2
During the fifth trip, t will be taken across the river by P and M will return. So now it is P, d1, d2, t |M, F, s1, s2
In the sixth trip, F and M will go across the river and F will be back. Now it is P, M, d1, d2, t |F, s1, s2
During the seventh trip, s1 will be taken across the river by F and P will come back with t. now it is M, F, d1, d2, s1 |P, t, s2
In the eighth trip, s2 will be taken across the river by P, and then he will return. Now it is M, F, d1, d2, s1, s2 |P, t
In the ninth trip which is final t will be taken across by P.
This is by the assumption that the thief is left unsupervised. The rules do not mention that anyway.
If we tie a goat to one peg, a circled grass is been eaten by the goat. If we tie the goat to two pegs with a circle on its neck, then an eclipse is eaten out of the grass by the goat. If we want an eclipse then we put two pegs then put a rope in between then and the other end of the rope is tied up on the goats neck.
How should we tie the peg and the goat so that a square is eaten out from the garden grass? We only have one goat rope and the peg and the rings ?
In the corners of the square, tighten two ropes. Tighten another rope between them by putting rings on each rope. That rope should be tightened on the goat neck on the opposite end.