### Metamorphosing Sociopolitical Matrix of India under rule of East India Company

Metamorphosing Sociopolitical Matrix of India under the Regime of East India Company till 1857

Under the colonial rule of the British Imperial Legislative Government and East India Company, the sociopolitical structure of India had undergone a massive change at several levels. East India Company was evolving as a crucial political strength in India by late eighteenth century after deposing prominent regional powers like Bengal, Bombay etc. The Company introduced repressive policies for expansion of territories as elaborated in the article Emergence of East India Company as an Imperialist Political Power in India.
Functioning as an administrative and political entity in India, EIC launched numerous political, social and education-related policies that considerably affected various sections of society like peasants, women, children, industrial sectors and handicrafters. The prime objective of this article is to shed light on the sociopolitical matrix of British India to understand the sta…

### AVERAGE Problems tricks | fast track arithmetic formulae for problem solving. for all competitive examination//

Today in "laws of nature" we are going to talk about the very important arithmetic formulae on AVERAGE , which are very helpful for all types of competitive examination.

# AVERAGE PROBLEM SOLVING TRICKS

1). If the number of the quantities and it's sum is given then the average is given by = sum of the quantities/no. of the quantities

2). If the no. of the quantities and it's average is given then the sum of the quantities is = no. of the quantities × it's average.

3). If the sum and it's average is given then the the no. of the quantities is = sum of the quantities/ average

4). If the average of A boys is x , and the average of B girls is y, if all of them is put together , then average is = (Ax + By)/(A+B)

5). If average of A boys is x , and average of B boys out of A boys is y then average of rest boys is = (Ax-By)/(A-B)

6). If the average of A objects is x , if any object is removed from the list then average become y then the magnitude of removed object is =A(x-y)+y

7). If the average of A no. is a , if x is added or subtracted from each no. then the average become = (a+x) if added or (a-x) if subtracted.

8). If average of A quantities is x , and if a new quantity is added then average become y, then the added new quantity is =A(y-x)+y

9). If the average of A no. is x , then if each no. is multiplied or divided by y then , the average become = xy if multiplied or x/y if divided.

10). If the average weight of A person is increased by x kg if one person of weight y kg is replaced by a new person , then the weight of new person is = y + Ax
*If average is decreasing then the weight of new person is = y- Ax

11). The average marks obtained by A candidates in a certain examination is m, if the average marks of passed candidate is n, and the fail candidate is o, then the no of candidates who passed the exam is =
[A(m-o)/n-o] and no of candidates who failed the exam is =[A(n-m)/n-o]

12). If average of n no. is 'a' , (where n is odd no.) And average of first (n+1/2) no. is 'b' and
Last (n+1/2) no. is 'c' then the  (n+1/2)th no. is = [(n+1/2)(b+c) - na]

13). If a batsman in n innings makes a score of x , and average is increased by y, then average after n innings is = [x-y(n-1)]

14). If a batsman has average of x runs after the completion of n innings. Then no of runs he has to make to raise his average to y is =
[n(y-x)+y]

15). If a person travels a distance with x km/h , and again travels the same distance with y km/h, then average speed for whole journey is = 2xy/x+y km/h

* If half of the distance is travelled by x km/h and other half distance is travelled by y km/h then average for whole journey is =
2xy/x+y km/h

* If person goes with x km/h and return with y km/h then average speed is = 2xy/x+y km/h

16). If a person travels three equal distances with x km/h , y km/h and z km/h then average speed for whole journey is =
3xyz/xy+yz+zx km/h

17). If a person travels A km by x km/h, B km by y km/h and C km by z km/h then average speed for whole journey is =

18). A person travels Ath part of a distance with x km/h , Bth part of distance with y km/h, and Cth part with z km/h then average speed for whole journey is =
1/(A/x +B/y + C/z). Km/h

* If Ath, Bth and Cth part of distance is given as A%, B% and C% then formula change to average speed of = 100/(A/x + B/y + C/z) km/h

19). The average value of all the members of a group is x, if the first part of members has average of y, and average of remaining parts of members is z and no. of members in first part is n then no. of members is remaining part =[n(x-y)/z-x]

* If n is the no. of members in remaining part then the no. of members in first part is =[n(x-z)/y-x]

20). The average of first n natural number is = n+1 /2

21). The average of n consecutive number is the middle no. ( Where n is odd number).

22). Average of n consecutive number is the average of middle two numbers. ( Where n is even number).

* The average of two middle number is calculated as follows:
** In case of consecutive numbers,
Average = smaller middle no. +0.5 or greater middle number -0.5
** In case of consecutive odd and consecutive even.
Average = smaller middle no. +1 or greater middle no. -1

23). The average of odd number from 1 to n, (where n is natural odd number) is =last odd number +1 /2

24). The average of even number from 1 to n, (where n is natural even number) is = last even number +2 /2

25). The average of square of natural number till n is = [(n+1)(2n+1)/6]

26). The average of cubes of natural number till n is = [n(n+1)^2/4]

27). The average of first n consecutive even number is =n+1

28). The average of first n consecutive odd number is =n

29). The average of squares of first n consecutive even number is =
[2(n+1)(2n+1)/3]

30). The average of squares of even number till n is =[(n+1)(n+2)/3]

31). The average of squares of consecutive odd number till n is =[n(n+2)/3]

32). The average of n numbers is A , and rechecking it is find that some of the numbers that is (x1 , x2, x3, ...xn) are taken wrongly as ( x1', x2', x3', ...xn') then the correct average is =   A + [( x1+x2+ x3 +...xn) - (x1'+ x2'+ x3' + ...xn')]/n

33). Average of a series having common difference 2 is = first term + last term /2

34). If the average of n consecutive odd numbers is x , then the difference between the largest and smallest number is = 2(n-1)

35). If P distance is travelled by x km/h, Q distance with y km/h, R distance with z km/h, then average speed for whole journey is = (P+Q+R)/(P/x + Q/y + R/z) km/h

36). The average weight of group of X members is y, if after entering or exiting of a member , average weight become z, then weight of entering or exiting person is =
z+-x(z-y)

37). The average weight of group of x person is y, when z person get enter/exit in the group , the average of group become w, then average of new entering/exiting persons is =  y +-(x/z +1)w

38). In the group of x persons , if a t years old person is replaced by a new person , then average is increased/ decreased by t1 , then age of new person is = t+-xt1

39). The average of n multiple of any number is = no.(n+1)/2

These are all the important arithmetic formulae on AVERAGE...

### " THE LAWS OF NATURE" प्रकृति के नियम, जिससे कोई भी बच नहीं सकता, आप भी नहीं | प्रकृति के तीन गुण क्या है?|

"लॉज ऑफ नेचर" कहता है -

* प्रकृति क्या है?
किसी राष्ट्र या देश को आदर्श राष्ट्र या देश बनाने के लिए निःसंदेह एक आदर्श कानून व्यवस्था की आवश्यकता होती है, जिसके नजर में उस देश में रहने वाला सूक्ष्म जीव से लेकर विशालकाय जीव तक सभी एक समान होते है। किसी देश का स्वामी एक मनुष्य हो सकता है, इस पृथ्वी का स्वामी भी एक मनुष्य हो सकता है, किन्तु क्या इस सम्पूर्ण ब्रह्माण्ड का स्वामी भी एक मनुष्य हो सकता है, शायद नहीं .... अब यहां पर एक प्रश्न है उठता है, कि क्या इस सम्पूर्ण ब्रह्माण्ड को भी किसी स्वामी की आवश्यकता है? यदि किसी देश को स्वामी कि आवश्यकता है, यदि पृथ्वी को किसी स्वामी की आवश्यकता है, तो यकीनन इस ब्रह्मांड को भी एक स्वामी कि आवश्यकता है। इस ब्रह्मांड का स्वामी जो कोई भी है, उसके लिए ये पूरा ब्रह्मांड एक देश जैसा है, जिसके भीतर हमारे जैसे असंख्य जीव रह रहे है, इस ब्रह्मांड में हम अकेले नहीं है। यदि ये पूरा ब्रह्मांड एक देश है, तो निश्चित ही इस देश का भी एक नियम होगा कोई कानून होगा। यदि हम किसी देश की बात करें तो वहां कानून व्यवस्था बनाए रखने के लिए सैनिकों को तैनात किया …

### THE GENERAL THEORY OF RELATIVITY | A Unique way to explain gravitational phenomenon.

Today we are going to talk about a very important and revolutionary concept that is THE GENERAL THEORY OF RELATIVITY.
This theory came into existence after 10 years of special theory of relativity (1905), and published by Albert Einstein in 1915.
This theory generalise the special theory of relativity and refines the Newton's laws of universal gravitation.
After coming this theory people's perspective about space and time has been changed completely. And this theory give a new vision to understand the spacetime geometry.
This theory gives a unified description of gravity as a geometrical properties of space and time.
This theory helps us to explain some cosmological phenomenon that is ,

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### Was East India Company supremely functioning as a Colonial Trading Group till 1857?

Was British East India Company supremely functioning as a Colonial Trading Group till 1857?

After acquiring the royal charter from the ruler of England in 1600, the British East India Company attained a monopoly on trade with East. The company eliminated competition in business; asserted control over Bengal after Battle of Plassey 1757; achieved Diwani rights ( i.e. revenue collection rights over Bengal, Bihar and Orisha) after Treaty of Allahabad 1765 and emerged as a supreme political power by the middle eighteenth century. But interestingly, the company experienced financial collapse by the second half of the eighteenth century because of nepotism and persistence of corruption in company officials. ( Such corrupt officials were often referred as nabobs- an anglicised form of the nawab.)
British Parliamentary Government investigated the inherent functioning of the company and introduced several acts to induce discipline in the company officials. Regulating Act/ Charter Act (1773):Thi…

### THE SPECIAL THEORY OF RELATIVITY | understanding the basic concepts.

Today we are going to talk about a very interesting concept of classical mechanics,
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If we want to understand this theoretical concept. Then we have to start it from starting point. Then let's start...
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### Short-tricks and fast track arithmetic formulae on COMPOUND INTEREST | Laws Of Nature

ARITHMETIC FORMULAE ON COMPOUND INTEREST
1). If P principle is invested with r% pa for n years at compound interest-
*. If Interest is compounded annually then amount is , A = P(1+r/100)^n
*. If Interest is compounded half yearly then amount is , A = P(1+r/200)^2n
*. If interest is compounded quarterly then amount is , A = P(1+r/400)^4n
2). If a city population is P , and it is increasing at the rate of r% annually then-
*. Population after n years -     Population = P(1+r/100)^n
*. Population before n years -     Population = P/(1+r/100)^n
3). If any principle on compound interest become x times in n1 years and y times in n2 years, then = [x^(1/n1) = y^(1/n2)]
4). If the simple interest of any principle for 2 years at the rate of r% annually is SI , then -   Compound Interest = SI(1+r/200)
5). If the simple interest of any principle for 2 years at the rate of r% annually is SI , then the difference between the compound interest and the simple interest is = SI×r/200
6). At compound i…