Water Pipes
A circular pipe with an inside diameter of six feet can carry a certain amount of water.
How many circular pipes with an inside diameter of one inch will be needed to carry the same amount of water?
My Bank Balance
My back pays me 4% simple interest compounded annually. If I deposit one hundred dollars at the beginning of each year for five years, what would be my balance at the end of five years?
Volume of Cylinder
A cylindrical container has a radius of eight inches with a height of three inches. Compute how many inches should be added to either the radius or height to give the same increase in volume?
Stolen Mangoes
Three naughty boys stole some mangoes from a garden. As it was late in the evening, they decided to divide the fruit equally among them in the morning, and went to sleep.
At night while the other two were sleeping, one boy woke up, tip-toed to the basket of mangoes, counted them and ate one. From the remainder he took a precise third and went back to sleep.
After some time a second boy woke up. He counted the mangoes, at one, took an exact third of the remaining and went back to sleep.
A little before sun rise the third boy also woke up, ate one, and like the other two boys took a precise third of the remainder in whole mangoes.
In the morning, all the three boys went together to the basket of mangoes, counted them. Amongst them they found one which was over ripe—almost
A Question of Age
Last winter I was in the United Kingdom. Travelling by the train from London to Manchester, I had for company two middle-aged Englishmen who were seated opposite to me. Naturally, they did not speak to me – because we hadn’t been introduced. But I could not help overhearing their conversation.
‘How old is Tracy, I wonder?’ one asked the other. ‘Tracy!’ the other replied ‘Let me see – eighteen years ago he was three times as old as his son.’
‘But now, it appears, he is only twice as old as his son’ said the former.
A Problem of Chain Letters
I opened my mail box this morning. What do l see in it? A chain letter. This seems to turn up every now and then in one form or another.
I began to wonder. If one person sends a certain letter to two friends, asking each of them to copy the letter and send it to two of their friends, those in turn each send two letters to two of their friends and so on how many letters would have been sent by the time the letter did thirty sets.
When did Diophantus Die?
Here is an epitaph of the celebrated Greek mathematician of 250 A.D., Diophantus. Can you calculate his age from this?
DIOPHANTUS PASSED ONE SIXTH OF HIS LIFE IN CHILDHOOD, ONE TWELFTH IN YOUTH, AND ONE SEVENTH MORE AS A BACHELOR; FIVE YEARS AFTER HIS MARRIAGE A SON WAS BORN WHO DIED FOUR YEARS
The Case of the Missing Digit
A friend of mine asked me to write down any multidigit number. But, he put a condition, the
number should not end with a zero.
I put down the number 96452
Then he asked me to add up the five digits and subtract the total from the original number.
I did and here is what I got:
96452 – 26 = 96426
He then asked me to cross out any one of the five digits and tell him the remaining numbers. I
crossed out the 2 and told him the rest of the digits. I neither told him the original number nor
what I had done with it. Yet ‘pop’ he told me the exact number I had crossed out.
How did you explain it?
Who is behind QuickerMaths?
I am Vineet Patawari - PGDM (IIM Indore), ACA, B.Com(H). My passion for Mathematics, specially Vedic Maths encouraged me to start QuickerMaths
I believe that if trained properly using powerful tools like Vedic Maths, the immense intellect of human mind can be ignited instantly - find out more
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