A child is called by the principal of the school along with his parents. The principal complains to his parents that he remains absent for most of the days from school. On being asked by the parents, the child forms an innocent face and blurts out the following:
There is not enough time to attend the school for me. Doctors say that a child must sleep for eight hours every day and so I sleep for 122 days a year (8 hours each day for 365 days). The weekends are officially off and thus in a year, the school remains shut for 104 days. The school gives us 60 days of summer holidays off every year. I chew my food adequately and thus it takes me an hour for each meal adding to 3 hours every day or 45 days in a year. For keeping me physically and mentally fit, I spend 2 hours daily in exercise and recreational activities which adds to 30 days a year. If you add all these days, you will get 361 days and thus I am left with just 4 days to attend the school.
The parents and principal are baffled by hearing it. Where do you think the child is miscalculating as this is certainly not feasible?
There are so many things that the child is miscalculating by using his mischievous mind. He is accounting all the hours he spend separately as well as in the holidays. The weekend are present in the summer holidays as well.
Then the school last maximum for 6 hours and in that case, even the 4 days that remains will comprise of at least 16 school days. In the similar fashion, the weekends off are not entirely to be excluded but only 6 hours each day to be excluded.
If you calculate gain, you will be left with so many more days/hours.
In a guess game , five friends had to guess the exact numbers of balls in a box.
Friends guessed as 31 , 35, 39 , 49 , 37, but none of guess was right.The guesses were off by 1, 9, 5, 3, and 9 (in a random order).
Can you determine the number of balls in a box ?
For an ideal case, the batsman will hit a six on each ball. But if he hits six on the last ball of the over, the strike will change in the next over. Thus, the best he can do in the last ball is run 3 runs so that he retains the strike even in the next over. Thus the total runs that he can score in each over:
6 * 5 + 3 = 33
But this will have to go like it only till the 49th over. In the last over, he can hit a six in the last ball as well as that will be the last ball of the match.
Thus runs for the last over will be 6 * 6 = 36.
Hence the maximum runs = 33 * 49 + 36 = 1653
Four friends need to cross a dangerous bridge at night. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. The bridge is only strong enough to support two people at a time. Not all people take the same time to cross the bridge. Times for each person: 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the bridge?
The initial solution most people will think of is to use the fastest person as an usher to guide everyone across. How long would that take? 10 + 1 + 7 + 1 + 2 = 21 mins. Is that it? No. That would make this question too simple even as a warm up question.
Let’s brainstorm a little further. To reduce the amount of time, we should find a way for 10 and 7 to go together. If they cross together, then we need one of them to come back to get the others. That would not be ideal. How do we get around that? Maybe we can have 1 waiting on the other side to bring the torch back. Ahaa, we are getting closer. The fastest way to get 1 across and be back is to use 2 to usher 1 across. So let’s put all this together.
1 and 2 go cross
2 comes back
7 and 10 go across
1 comes back
1 and 2 go across (done)
We have arranged matchsticks in a manner that all the first row, second row, first column and third column contain 12 matchsticks each. Can you remove 4 matchsticks and rearrange all the remaining matchsticks that we are still left with 12 matchsticks in the first row, second row, first column and the third column.
Tanu lives on the 13th floor takes the elevator down to the ground floor every morning and goes to her office.
In the evening, when she comes back on a rainy day , or if there are other people around in the elevator, she goes to her 13th floor directly. Otherwise, she goes to the 1oth floor and walks up three flights of stairs to his apartment.
For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 276 books with me to gift her.
Can you calculate, on which day is our anniversary?