How will you measure 15 minutes using two hourglasses of 7 minutes and 11 minutes respectively?
Let the hourglass with 7 minutes timeframe be x and the hourglass with 11 minutes timeframe be y.
Turn x and y together.
After seven minutes, turn x.
After 11 minutes, turn x again.
Now it will take 4 minutes for x to stop.
At that moment, you would have calculated 15 minutes.
You are presented with three boxes. One of them has a red ball inside and the other two have a black ball inside each of them. You are asked to pick up the one with red ball and you pick one. Now, one of the other boxes is opened and it is found to have a black ball.
You are presented with a chance to change your box with the one that is left closed. Will you change your box? Why or why not?
When you picked up a random box, the probability that the red ball was inside was 1/3.
The chance that red ball was inside one of the two left boxes was 2/3. One box is opened and it is found to have a black ball.
Now you still have a probability of 1/3 that the ball inside your box is red. While the other box has a probability of 2/3 that the red ball is inside since the box that was opened has been taken out.
Thus, you must change the boxes and you will double the chances of getting a red ball.
A man was convicted of a minor offense in Akbar court. Akbar decided to give him a chance. He asked him to give a statement. If the statement is true, he will be killed by lions and if it is false, he will be killed by trampling of wild elephants.
The convicted person requested help from Birbal and since the crime was not a big one, Birbal decided to help him. Whatever Birbal suggested impressed Kabir and he let the convicted person go.
What did Birbal suggest to the person?
The statement was "I will be killed by trampling of wild elephants."
Now if the statement is true, he should be killed by lions but then the statement will become false.
If the statement is false, he will be killed by trampling elephants, which will make the statement true.
You have two bottles of pills marked with the label A and B. The pills are identical. The doctor has asked you to take one A pill and one B pill daily. You cant take more or less than that.
While taking out the pills one day, you took out one pill from A and by mistake took out two from B. You have no idea which pill is which now.
You cant throw away the expensive pills. What will you do now?
Cut each of the three pills in half and put each half in two piles. Now, each of the two piles will contain half of pill A and two halves of pill B.
Take one pill A and cut into half and put the two halves in the two piles. Now, each pile will have two halves of pill A and two halves of pill B which means one pill A and one pill B. You can take one pile today and one pile the next day.
Thirty friends were on a hiking trip when they decided to enjoy the bonfire. They assembled for it and agreed to play a game. For that, they divided themselves in five teams with seven members each, forming five rows.
How did they manage to achieve this formation ?
You can see that they decided to form a pentagonal formation.
Alex bought 150 chocolates but he misplaced some of them. His mother asked him how many chocolates were misplaced and he gave the following answer to her:
If you count in pairs, one remain
If you count in threes, two remain
If you count in fours, three remain
If you count in fives, four remain
If you count in sixes, five remain
If you count in sevens, no chocolate remain.
Can you analyze the statements and tell us how many chocolates were lost?
119 chocolates were lost.
Doctor advised his patient to take a tablet after every fifteen minutes. He gave him five tablets in total.
How much time will he take to have all the five tablets ?
60
The patient will be able to take all the tablets in an hour. This is because the first tablet will start the time.
1st tablet = 0 min
2nd tablet = 15 min
3rd tablet = 30 min
4th tablet = 45 min
5th tablet = 60 min
B is to the North-East of D; A is to the North-East of C; C is to the West of D; E is to the South-West of D and to the South of C; and A is to the north of D and in line with B.
You have to find out that in which direction of E is B located. Can you do it ?
As we draw on a paper (see the figure) we find out that B is located on the North-East of E.
Aaron, Brad, Christopher, Danny and Elvis decided to play a game of tiddly winks. In this game they decided that one win will get 1 point for winning, 0 for losing and 1/2 in case of a tie.
They finished the game in alphabetical order and it was found that the scores were different for each person.
Based on the following two statements, can you find out the result of the individual games?
Brad: No one could finish like me, without a loss.
Elvis: No one played worse than me, I finished without a single win.
One of the possible solution is given below:
Aaron lost to Brad, but won every other game for a total of 3 points.
Brad beat Aaron, but tied in all other games for a total of 2.5 points.
Christopher beat Danny and tied with Brad and Elvis for 2 points.
Danny beat Elvis and tied only with Brad for 1.5 points.
Elvis tied with Brad and Christopher for 1 point.
Each of these statements (which are true) refers to seven out of the eight living members of a family. You will find that the statement either refers to them by their personal name or through their relationship with another member. The statements are:
a) Jacob"s wife"s sister"s husband"s mother"s son is Patrick"s cousin"s father.
b) Sia"s grand-daughter"s cousin"s father"s sister-in-law is Gerry"s son-in-law"s wife.
Now if Annabelle has no children, what relationship does she share with Michael?
PS: There can be two solutions to this problem.
Solution 1:
Annabelle is Michael"s daughter. This is because Michael is Sia"s son. Also he is married to one of the Gerry"s daughters. Gerry"s other daughter is married to Jacob and Patrick is their son.
Solution 2:
Michael and Jacob are brothers. Sia is their mother. In this case, "Jacob"s wife"s sister"s husband"s mother"s son" refers to Jacob himself. Thus, Patrick is Michale"s son and Annabelle is Jacob"s daughter which means that Annabelle is Michael"s niece.