Math Is Fun Forum

Lord Ganesh was born on the 4th day of the bright fortnight of the month of 'Magh'. 'Chatur' means 4. He controls the 8 directions of the Cosmos. 'Gana' means to count. (Ganith or Ganitham is Mathematics in Hindi/Sanskrit/Tamil) The science of Astrology is dependant on numbers. Hence Lord Ganesh is the Master of Astrology. No wonder that one worships Lord Ganesh before embarking on anything auspicious.   

Lord Ganesh's big ears denote that He can hear and understand Vedantic Truth. His big head reminds us that we are Spiritual Creatures so we must 'Think Big'. His small mouth denotes that He talks less. (So must we: Talk less and Listen more) His small eyes urge us to 'focus'. The long trunk of an elephant has the quality of being able to uproot a tree, and at the same time pick up a tiny needle from a haystack. This is again a quality attributed to the Lord, as we believe that in spite of His great power, the tiniest creature does not pass unnoticed by Him. The mouse though small can play havoc. Ganeshji has him under His control. Lord Ganesh's large belly denotes prosperity and that He digests all the good and bad in the world. The planet Mars and Ganpati are considered to have the same complexion. On Ganesh Chaturthi frequencies from Mars and Ganesh reach the Earth.

Ganeshji holds in His 4 hands:

An axe to cut off evil and worldly attachments.

A Rope pulls His disciples closer to the Spiritual Path.

The Rosary beads remind one to continuosly strive towards the Real Knowledge.

The last hand is held up in a posture of blessing.

May the Lord Ganesh bestow His Grace upon all of you today.

Ganapati

Oh yes, MathsIsFun!
Lord Ganesh is the first worshipped God by all following the Hinduism faith.
Elephant headed, Lord Ganesh is worshipped for Wisdom, among other things. Chaturthi is the fourth day after the full moon or the new moon.

Ganesh Chaturthi is celebrated all over the world, all over India, but it is the most important festival in Maharashtra/Goa state (Mumbai, known as Bombay earlier, is the capital of Maharashtra state).

All poojas are done after worshipping Lord Ganesh first. You can notice a shrew near Lord Ganesh's feet. That is his avatar. Lord Ganesh is known by many names....Vinayak, Ganapathi, Vignesh, Lambodar etc.
On this day, idols of Lord Ganesh are made of clay and worshipped with flowers, sweets, coconut etc. After three days/ten days, the idols are taken in a procession and dipped in a river/sea. It is a very colorful festival.

My mother worshipped this God and I was born on Ganesh Chaturthi in the year Neil Armstrong, Michael Collins and Edwin Aldrin created history!
No wonder my name is Ganesh!
Lord Ganesh

Solution to Problem # k + 6

You are right, John. I don't know the reason. Just as MathsIsFun thought, I too believed 97531 x 86420 would be the highest product!

Problem # k + 16

The pages in a book are serially numbered from 1. If the number of digits required to total all the pages in the book is 972, how many pages are there in the book?

Good work, John E. Franklin 

Solution to Problem # k + 14

Any triangle you try to draw with the maximum area would have same base and height. The solution is, without doubt, lw/2. You can try all possibilities. You'd get the same answer, both when the base is 'l' and 'w'.

Solution to Problem # k + 12
Yes, you would be one equation short. But, when you get one number is eight times the other, the numbers would have to be 1 and 8, as each number a,b,c, and d is a single digit number!

Solution to Problem # k + 10
Yes, 5121 is the correct answer. As you said, there may not be another as 0242 is not acceptable!

Solution to Problem # k + 11
You have given a different property! I had this is my mind.
It is a number of the form abcd equal to (a^b)*(c^d)

Solution to Problem # k + 6
You are correct. The ages of the grandmother and the grandson would be (61,1), (62,2), (63,3), (64,4), (65,5), and (66,6).

Problem # k + 14

What is the area of the largest triangle that can be fitted into a rectangle of length 'l' units and width 'w' units?

It is omega, and looks a little like w.
In physics, omega stands for angular velocity.
w = dθ /dt where θ is angular displacement and t is time.
In many electricity/magnetism formulae, 2*pi*w is found.
The unit of angular velocity is radians and 2*pi radians is equal to 360 degrees.
Interestingly, alpha is angular acceleration, dw/dt or d²θ /dt².
The Greek alphabets are used to represent various parameters in Physics, like mu is refractive index, rho is specific gravity (and specific resistance too), lambda is wavelenght etc.

No, I got them from elsewhere...and I enjoyed reading them, so I wanted to share with you all
Here are two more.......

If inside a circle a line
Hits the center and goes spine to spine
And the line's length is "d"
the circumference will be
d times 3.14159

If (1+x) (real close to 1)
Is raised to the power of 1
Over x, you will find
Here's the value defined:
2.718281...

You got it right! Well done! Try the earlier unsolved problmes.

The number of ways of choosing the first square is 64. The number of ways of choosing the second square is 63. There are a total of 64 * 63 = 4032 ways of choosing two squares.

If the first square happens to be any of the four corner ones, the second square can be chosen in 2 ways. If the first square happens to be any of the 24 squares on the side of the chess board, the second square can be chosen in 3 ways. If the first square happens to be any of the 36 remaining squares, the second square can be chosen in 4 ways. Hence the desired number of combinations = (4 * 2) + (24 * 3) + (36 * 4) = 224. Therefore, the required probability = 224/4032 = 1/18

Problem # k + 13

Two squares are chosen at random on a chessboard. What is the probability that they have a side in common?

Problem # k + 12

In a 4-digit number, the sum of the first two digits is equal to that
of the last two digits. The sum of the first and last digits is equal to the third digit. Finally, the sum of the second and fourth digits is twice the sum of the other two digits. What is the third digit of the number?

A Dozen, a Gross and a Score,
plus three times the square root of four,
divided by seven,
plus five times eleven,
equals nine squared and not a bit more.

A graduate student from Trinity
Computed the cube of infinity;
But it gave him the fidgets
To write down all those digits,
So he dropped math and took up divinity.

There once was a number named pi
Who frequently liked to get high.
All he did every day
Was sit in his room and play
With his imaginary friend named i.

There once was a log named Lynn
Whose life was devoted to sin.
She came from a tree
Whose base was shaped like an e.
She's the most natural log I've seen.

A challenge for many long ages
Had baffled the savants and sages.
Yet at last came the light:
Seems old Fermat was right--
To the margin add 200 pages.

Integral z-squared dz
from 1 to the cube root of 3
times the cosine
of three pi over 9
equals log of the cube root of 'e'.