Question:
1. The Principal of a college has a strange principle, on the first day of their
admission; he performs an odd drill as the opening ceremony. There are
1000, lockers and 1000, students in the college. The principal asks the first
student to go open all the lockers. Then he sends the second student to go the
every second locker and close it. The third goes to every third locker and he
closes it, if it is open and opens it, if it is closed. The fourth student goes to
every fourth locker and so on. After the process is completed with the
thousandth student, how many lockers are open?
2. A Merchant in Egypt is convicted and is sentenced to death. The king allows
him to say the last sentence of his life, in order to determine in which the
penalty will be carried out. If the merchant lies he will be hanged, if he says
the truth he will be beheaded. The merchant says a sentence to surprise
everyone, and is set free after some time because the king cannot determine
his penalty. What statement did he say?
3. Santa Clause has 11 gifts in his bag sack. He has to give the gift to 11 kids.
Now, Santa Clause has to divide the gifts to the kids in such a way that a gift
remains in his bag. How can he do it?
4. A military column of 1 km length marches with a constant speed of 6
kilometers per hour. A courier from the back of the column is sent to the
head of the column by bike to deliver a message. Arrived at the front, he
instantly returns. When he returns again at the back, the column has
travelled a distance of 1 km since the start of his errand. The courier drove
with constant speed.
What is the speed of the courier?
5. The equation given below is not correct:
5+5+5 = 550
Can you make the equation correct by adding just line stroke?
6. In a contest, four pens (blue, green, red and black) have been placed in a
closed bag (one pen per bag). People may guess which pen is in which bag.
123 people participated in the contest. When the bags were opened, it turns
out that 43 people guesses none of the bag correctly, 39 people guessed one
bag correctly, 31 guessed two bag correctly. How many people guessed the
three bags correctly and how many guessed all the four correctly?
7. Professor and a lady are travelling in a train. They get around talking and the
lady decides to give a puzzle to the Prof. She tells him that she has 3 children
whose product of ages is equal to the maximum number of runs possible to
score in an over without any illegitimate ball being balled (i.e. NB, Wide, etc).
Also, the sum of their ages is equal to her berth number. However, the
professor isn't able to answer. The lady then gives him a further hint that the
eldest of her children is has only one eye. At this information, the Professor
knows the ages of the three children.
My question to you is that you DONT know the lady's berth number. Can u
tell me the ages of her children?
8. Using digits 1 up to 9, three numbers of the three digits can be each can be
formed, such that the second no. x is twice the first no., and the third no. is
three times the first number.
Guess the number.