Raja’s office is 9 km from his home. One day, he decided to jog to work in order to increase his fitness. He estimates the journey time to be a little over 1 hour 45 minutes.
At first he feels fine, but before long his energy beings to fade and he realizes he will not be able to run the whole distance. A passing taxi is the answer to his prayer. Raja hails the cab and completes his journey, arriving at work one hour 10 minutes earlier than he had anticipated.
Assuming Raja could at 1/6 the speed of the cab, how far did he run before he hailed the taxi?
A school had a strange principal. On the first day, he has his students perform an odd opening day ceremony:
There are one thousand lockers and one thousand students in the school. The principal asks the first student to go to every locker and open it. Then he has the second student go to every second locker and close it. The third goes to every third locker and, if it is closed, he opens it, and if it is open, he closes it. The fourth student does this to every fourth locker, and so on. After the process is completed with the thousandth student, how many lockers are open?
Try and solve this logical maths puzzle yourself.
In ancient times, there lived a prince and a princess who loved each other. They belonged to neighboring kingdoms. But their plans pf happiness together came to a sudden end when the two kingdoms went to war. Their parents locked them up in two towers and had them guarded day and night.
One day the prince bribed the guard so that he would deliver and collect written massages from himself and the princess. The prince however, did not trust the guard not to read the letters. Even if he were to seal the letters, the guard could open, read the reseal them without the princess knowing. The clever prince and princess then devised a way of making it impossible for the guard to read the letters before they were delivered.
How did they do it?
There are 9 coins. 8 are of 1 gm and 1 is of 2 grams. How will you find out the heavier coin in minimum number of weighing and how many weighing it will need?
If you standing on a pavement, how can you a raw egg to the ground for 1 metre without breaking it, without trying to cushion its fall?
What is wrong with this proof?
2 = 1
a = b
a2 = ab
a2 – b2 = ab – b2
(a + b) (a – b) = b (a – b)
a + b = b
2b = b
2 = 1
My club has five cultural groups. They are literary, dramatic, musical, dancing and painting groups. The literary group meets every other day, the dramatic every third day, the musical every fourth day, the dancing every fifth day and the painting every sixth day. The five groups met, for the first time on the New Year’s day of 1975 and starting from that day they met regularly according to schedule.
Now, can you tell how many times did all the five meet on one and the same day in the first quarter? Of course the New Year’s day is excluded.
One more question-were there any days when none of the groups met in the first quarter and if so how many were there?
As an entrance test for a particular university, you are given a corked bottle with a very small coin in it. Your task is to remove the coin without taking the cork out of the bottle or breaking the glass, or boring a hole in the cork or glass.
How do you pass the test and get the coin out?
The egg vendor calls on his first customer and sells half his eggs and half an egg. To the second customer he sells half of what he had left and half an egg and to the third customer he sells half of what he had then left and half an egg.
By the way e didn't break any eggs. In the end three eggs were remaining.
How many did he start out with?
Sitting uncomfortably in the doctor’s waiting room one day, I stared at the clock on the wall. I had been waiting for what seemed to be a very long time.
To take my mind off the reason for the visit I started to invent little puzzles to solve.
Estimating the length of the minute hand of the clock to be 4 inches, I calculated the distance the hand had travelled around the clock since I arrived to be 15 inches.
How long had I been waiting?
Sitting uncomfortably in the doctor’s waiting room one day, I stared at the clock on the wall. I had been waiting for what seemed to be a very long time.
Clock Puzzle
To take my mind off the reason for the visit I started to invent little puzzles to solve.
Estimating the length of the minute hand of the clock to be 4 inches, I calculated the distance the hand had travelled around the clock since I arrived to be 15 inches.
How long had I been waiting?
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