Why is 1 not a Prime Number?

Is 1 a Prime Number?

Friends, in one of the post where I have described ‘Prime’ and ‘Composite’ Numbers, one of the curious visitor have asked me a very logical question. I will quote that question for your reference –
Text from Previous post-
“Prime and Composite : Any integer which is divisible by 1 and itself only [...]

Comparison of Fractions

Comparison of fractions: Suppose, some fractions are to be arranged in ascending or descending order of magnitude.

Rule: Convert each one of the given fractions in the decimal form. Now, arrange them in ascending order as per requirements.

Decimal Fraction Rules

Multiplication of a decimal Fraction by a Power of 10: Rule: Shift the decimal point to the right by as many places of decimal as is the power of 10.

Difference Between Rational and Irrational Numbers

What is the difference Between Rational and Irrational Numbers?

Rational Numbers: – Every integer and fractions are rational numbers. It can always be denoted as p/q, where p and q are integers and q is not equal to 0.

Difference Between Natural Numbers and Whole Numbers

There is a very small difference between natural numbers and whole numbers. It is important to know this because of both the terms are repeatedly used in questions of competitive examinations.

E.g. For the perfect no. 28. 1/1+1/2+1/4+1/7+1/14+1/28=2

Natural number: Numbers used to count the objects is natural are called the natural numbers e.g. 1, 2, 3…

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?

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?

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.