Archive for October, 2009

Shortcut to find the Cube of a number

Short Cut for finding the cube of any two digit number is very easy using this method.

The Princess Letters

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.

Divisibility Rule of 7, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47

You might have seen divisibility rules of various numbers. But most of them very conveniently skip the ones which are very difficult and a rule for which is very much required. Today I’ll show you the divisibility rules for 7, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47.

There are 9 coins.

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?

Drop An Egg

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?

Solve a Dilemma

What is wrong with this proof?

2 = 1

a = b

A Puzzle Of Cultural Groups

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?

Entrance Test

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?

Selling Eggs

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.

Vedic Multiplication by 9, 99, 999 and so on

When any number has to be multiplied by a series of 9s, like 9, 99, 999, 9999 and so on than we can apply this very simple vedic maths technique to increase your speed of calculation.