The Amazing Concepts

Dattatreya Ramchandra Kaprekar (D. R. Kaprekar; 1905 – 1986) was an Indian mathematician who discovered several classes of natural numbers including Kaprekar Constant. The number 6174 is called Kaprekar Constant for four-digit number. Why is the number 6174 called Kaprekar Constant? In 1949, D. R. Kaprekar discovered an interesting property of the number 6174 through the mathematical calculations. D. R. Kaprekar observed that when any four-digit number of non-identical digits (not all digits are same) is arranged in two parts – highest number and lowest number, and difference is calculated using subtraction method, then the end-result will be always 6174 either in the first step or in no more than 7 steps. If the process is continued even after getting the end-result 6174, then the end-result will be always 6174 at each Iteration, therefore the number 6174 is known as Kaprekar Constant. Steps to Follow Take any four-digit number with different digits. Form the highest nu...

Calculating day from any given date is one of the amazing concepts as far as the calendar is concerned. Before actually going into detail and calculating day, let's start with the basic calendar concepts as shown below: 1 day = 24 hours. 1 week = 7 days. 1 month = 28 / 29/ 30 / 31 days. 1 year = 12 months. 1 common year / ordinary year = 365 days. 1 leap year = 366 days. February month in a leap year is of 29 days instead of 28 days. Number of odd days in a common year / ordinary year = 1 day. Number of odd days in a leap year = 2 days. Number of odd days Day 0 Sunday 1 Monday 2 Tuesday 3 Wednesday 4 Thursday 5 Friday 6 Saturday If a year is exactly divisible by 4, then it is a leap year. This concept is applicable only in the case of a non-century year. If a year is exactly div...

In number system, all the numbers 1 – 9 have their own significance, but some numbers 3, 6, 9 are different than others in some way. Due to difference in their property, these numbers [3, 6, 9] are often referred to as special numbers . Through this post, you will get to know how numbers 3, 6, 9 are different than others. Let get started! Number 3 Start with the table of number 3 as shown below: 3 x 1 => 3 3 x 2 => 6 3 x 3 => 9 3 x 4 => 12; 1 + 2 => 3 3 x 5 => 15; 1 + 5 => 6 3 x 6 => 18; 1 + 8 => 9 3 x 7 => 21; 2 + 1 => 3 3 x 8 => 24; 2 + 4 => 6 3 x 9 => 27; 2 + 7 => 9 3 x 10 => 30; 3 + 0 => 3 3 x 11 => 33; 3 + 3 => 6 3 x 12 => 36; 3 + 6 => 9 3 x 13 => 39; 3 + 9 => 12; 1 + 2 => 3 3 x 14 => 42; 4 + 2 => 6 3 x 15 => 45; 4 + 5 => 9 >>>>>>>>>>, n times. As you can see, if you continue the table of number 3 n times, then it will always f...

The Golden Ratio , also referred to as the Golden Section , Golden Mean , or Divine Proportion , is the ratio of a line segment cut into two pieces of distinct lengths such that the ratio of the longer segment to the shorter segment is equal to the whole segment to that of the longer segment. It is denoted by the symbol Phi [ø]. For example, a line segment AB divided into two distinct lengths AC & CB; here AC is the longer part and CB is the shorter one, then as per the definition of the Golden Ratio stated above, mathematical representation will be as: Suppose the longer part AC is ø and the shorter part CB is 1, then putting the value of AC, CB and AB in the above equation as shown below: The equation ø 2 – ø – 1 = 0 is a Quadratic Equation [ax 2 + bx + c = 0] Now use the Quadratic Formula  in the above Quadratic Equation by using the given values a = 1, b = -1 and c = -1 as shown below: The positive solution can be written as shown below: Solving this equation will give ...

When it comes to the origin of the universe secret code 369 theory, one name associated with this amazing concept is ‘Nikola Tesla’. Nikola Tesla [10 July 1856 – 07 January 1943] was not only a great inventor / scientist, but also the greatest mind of all the time. He has done a plenty of research throughout his life, and highly recognized for his contributions towards the following : High Voltage, High Frequency Power Experiments Alternating Current (AC) Electricity Supply System Apart from the above-mentioned contributions, he has given ‘Universe Secret Code 369 Theory’ and has called the number 369 – the key to the universe. Now the question that will come to the curious minds is that why Nikola Tesla has called this number the key to the universe. The answer to this question is described in this post. Let start with a specific pattern as shown below: 1 1 + 1 => 2 2 + 2 => 4 4 + 4 => 8 8 + 8 => 16; 1 + 6 => 7 16 + 16 => 32; 3 + 2 => 5 >>>>>>...