Alex speaks truth only once a day in a week. Below are a few hints for you:
First: Days are Sunday, Monday and so on.
Second: One day he says, "I lie on Monday and Tuesday".
Third: On the next day, he says, "Today is either Thursday, Saturday or Sunday".
Fourth: On the next day, he says, "I lie on Wednesday and Friday".
Can you identify the day on which he speaks truth?
Alex speaks truth on Thursday.
If you remove one from eleven, it becomes ten. If you remove one from nine, it becomes ten.
How is this possible ?
It is possible if you are using Roman Numerals.
9 = IX
10 = X
11 = XI
Now it is all possible.
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.
You board a train. The train will have to enter a tunnel soon. You are claustrophobic. Which place is the best for you to sit ?
The back seat of the last coach will be the best. The reason is because, the train will be accelerating after the stop and thus, it will be much faster when the back of the train enters the tunnel than when the front of the train enters. Thus you will have to spend less time in the tunnel.
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.
How many runs at maximum can a batsman score in a normal one day match? Consider the fact that the conditions are ideal and there are no No Balls, no Wide Balls and no Extras in that match.
If we are considering an ideal case and we have to calculate the maximum score, we will assume that the batsman hits six on every ball. But then, at the end of every over, the strike will change. But we have to make sure, he gets to play maximum number of balls to score maximum runs. Thus, the batsman will hit six in first five balls and will choose to take 3 runs in the last ball so that he retains the strike in the following over.
Total runs per over in that case = 6 * 5 + 3 = 33.
But in the last over (50th over), he don’t have to worry about keeping the strike and thus, he will hit six even on the last ball. Therefore, the maximum runs that a batsman can score:
33 * 49 + 6 * 6 = 1617 + 36 = 1653
Look at the figure below. You have three house and there are three utilities below it: W representing water, G representing gas and E representing Electricity. You have to draw a line that gets each utility into every house without crossing the lines. Can you do it?
This puzzle is known as the Turan Brickyard Problem and is a classic one. There is no way that they can be connected without crossing the lines in 2 dimension. However, you can do it if you place the scene in a 3d workplace. See to the figure to understand better.
Consider the situation that there is a pond where some flowers have grown up and some bees are hovering over the flowers. Now read the following statements carefully:
1. If each of the bees lands on a flower, then one bee does not get a flower.
2. If two bees share each flower, then there is one flower left.
Now, can you calculate the number of flowers in the pong and the number of bees hovering over them?
There are three flowers in the pond and four bees are hovering over it.
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.
If we roll two dices (six sided normal dice) together.
what is the probability that the first one comes up with a 2 and the second one comes up with a 5?
The probability will be 1/36.
For the first dice, there can be six possibilities. Similarly, for the second dice as well, there can be six possibilities.
Thus the total possibilities is 6 * 6 = 36.
The outcome we need is that the first comes up with a 2 and the second comes up with a 5. That is possible only in one possibility.
Therefore the required probability is 1/36.