Quicker Maths
31May/1073

Finding Cube Root – Vedic Maths Way

This is an amazing trick which was always appreciated by the audience I have addressed in various workshops. This awe inspiring technique helps you find out the cube root of a  4 or 5 or 6 digits number mentally.

Before going further on the method to find the cube root, please make a note of the following points –

1) Cube of a 2-digit number will have at max 6 digits (99^3 = 970,299). That implies if you are given with a 6 digit number, its cube root will have 2 digits.

2) This trick works only for perfect cubes, it will not work for any arbitrary 6-digit

3) It works only for integers

24May/1012

Time Keeping Puzzle

Here's a mathematical puzzle to puzzle you. If you crack this your sense of time is good ;)

Try it out -

Mr. Moody grumbles about bad time-keeping of trains from morning till night!

On one particular morning he was quite justified.

His train left on time for the one hour journey, to Clarksville, and it arrived 5 minutes late.
However, Mr. Moody 's watch showed it to be 3 minutes early, so he adjusted his watch by putting it forward 3 minutes.

His watch kept time during the day, and on the return journey in the evening the train started on time, according to his watch, and arrived on time, according to the station clock.
If the train travelled 25 percent faster on the return journey than it did on the morning journey, was the station clock fast or slow, and by how much?

Leave your answers below.

Filed under: Puzzles 12 Comments
19May/102

Relationship between Length, Area and Volume

Lot of time we face problems related to change in area or volume when some dimension of the 2-dimensional figures or 3-dimensional object changes.

Here I am giving a small mathematical problem, which can be solved as soon as you finish reading it if you know the simple trick to answer it. In my next post I will explain this very helpful trick of finding the change in area of 2-dimensionals figures and volume of 3-dimesionals figures if their dimensions changes. Also relationships between surface area and volume of cube, sphere, pyramid, etc. will be explained. These tricks come very handy in competitive examinations.

Geometric Puzzle
I have a miniature Pyramid of Egypt. It is 6 inches in height. I was invited to display it at an exhibition. I felt it was too small and decided to build a scaled-up model of the Pyramid out of material whose density is 1/8 times the density of the material used for the miniature. I did some calculation to check whether the model would be big enough.
If the mass (or weight) of the miniature and the scaled-up model are to be the same, how many inches in height will be the scaled-up Pyramid?
Now it’s upto you to answer this and figure what could be the trick to solve such questions.
Leave your answers and comments below:

Filed under: Puzzles 2 Comments
16May/1012

Mathematics of Lord Bramah

Alike Vedas which is the primary source of Vedic Mathematics, mathematics is also extensively used in Indian Mythology. I have picked up a very interesting story related to the creator of universe, Lord Bramah. The story is narrated in the word of the original author -

"In the great temple at Benares, beneath the dome which marks the center of the world, rests a brass plate in which are fixed three diamond needles, each a cubit high and as thick as the body of a bee. On one of these needles, at the creation, God placed sixty-four disks of pure gold, the largest disk resting on the brass plate, and the others getting smaller and smaller up to the top one. This is the Tower of Bramah.

Day and night unceasingly the priests transfer the disks from one diamond needle to another according to the fixed and immutable laws of Bramah, which require that the priest on duty must not move more than one disk at a time and that he must place this disk on a needle so that there is no smaller disk beneath it. When the sixty-four disks shall have been thus transferred from the needle on which at the creation God placed them to one of the other needles, tower, temple, and Brahmins alike will crumble into dust, and with a thunderclap the world will vanish."

The above tower will look something similar to the figure shown below

Now friends it's up to you to find out the time which the priests will take to complete the task.

By the way this world's end prophecy is one of the most optimistic on record!

7May/1026

Ramanujan Number

When you love mathematics you can see magic in numbers. Your face gets lit up when you observe something new about a number. Something similar and very interesting happened with great Indian mathematician

Srinivasa Iyengar Ramanujan

Srinivasa Iyengar Ramanujan

You can see the title of this post is Ramanujan Number. You might have already guessed that he might have a stumbled up on some very interesting number with some peculiar characteristics. If you have guessed that, you are right.  Ramanujan number is 1729.

1729 is also known as the Hardy – Ramanujan number . This number is also called the Taxicab number.

Ramanujan number is so named after a famous anecdote of the British mathematician G. H. Hardy regarding a hospital visit to the Indian mathematician Srinivasa Ramanujan.

In Hardy's own words:

“I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number...

5May/109

Sale Price, Gross Margin determination – Simple Trick

I am going to share with you one trick which one great teacher, Mr S.K. Jha taught me. Simple arithmetical problems of

Finding out selling price, when cost price and margin (percentage of profit on Sale) are given. Or,

Finding out cost price when Sale price is given and percentage of profit on cost is given.

Finding out the mark-up when cost price and Sale price are given.

We all have seen occurrence of such problems in our academic life and day-to-day life. All the time we need a paper – pen or a calculator. But now with the process given below I believe we can solve any such problem in our mind.

3May/108

Puzzles, Riddles with Mathematics?

Yesterday I got a mail from one of my old friend, who is a genius in mathematics and one of the best critic of my work. He posed a simple question in that mail. I believe that simple question is relevant for all.

"Why are you mixing puzzles, riddles or brainteasers  with mathematics?"

Actually he wanted to ask why I am posting puzzles, riddles or brainteasers on QuickerMaths.com

I thought of many points.  But don't worry I will not burden you with "Why to Solve Puzzles?" list.

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