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Metamorphosing Sociopolitical Matrix of India under rule of East India Company

By Gaurav Rathi
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…
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LCM and HCF, Problems tricks | fast track formulae for Problems solving.

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By Laws Of Nature
In "Laws Of Nature" today we are going to talk about the some important arithmetic formulae on LCM and HCF, this formulae may be helpful to you, in all types of competitive exams.

LCM AND HCF PROBLEMS TRICKS


* To find the HCF of two numbers.
Method-
Split the given numbers into prime factors and then find the product of all the prime factors, which are common to all the numbers.the product is the required HCF.

* To find the HCF of decimals.
Method-
First make the same numbers of decimals places in all the numbers,and then see the numbers as integer and find the HCF, and in the answer put the decimal places as there in each of the numbers.

* To find the LCM of two numbers.
Method-
Split the numbers into prime factors and then find the product of the highest power of all the factors that occurred in given numbers.the product will be the required LCM.

* To find the LCM of the decimals.
Method-
First make sure the same numbers of decimals places in all the numbers.then find the LCM as they are integers, and then in the answer put the decimal places as there in each of the numbers.

* HCF of the fraction=HCF of numerator/ LCM of the denominator

* LCM of the fraction= LCM of the numerator/HCF of the denominator

* Product of the numbers= HCF of the numbers× LCM of the numbers

* The greatest number that will exactly divide x,y and z is =HCF of x, y and z

* The greatest number that will divide the numbers x,y and z such that they leave remainder a,b and c respectively=
  HCF of (x-a),(y-b),(z-c)

* The least number which exactly divisible by the numbers x,y and z is =  LCM of x,y and z

* The least number which when divided by x, y and z leaves remainder a,b and c respectively, the special features is always observed that (x-a)=(y-b)=(z-c)=k
   Then the least number is =(LCM of x y and z)-K

* The least number which when divided by the numbers x y and z leaves same remainder r in each case is =
 (LCM of x y and z)+r

* The greatest number that will divide x y and z leaving the same remainder r in each case= HCF of (x-r),(y-r),(z-r)

* The greatest number that will divide x y and z leaving the same remainder in each numbers is =HCF of |(x-y)|, |(y-z)|, |(z-x)|

* To find the n digit greatest number which when divided by x y and z, leaves no remainder.
The following steps can be taken:
Step1: find LCM of x y and z that is L
Step2: divide n digit greatest number by L and find remainder R
Step3: the required number is= n digit greatest number -R

* To find the n digit smallest number which when divided by x y and z leaves no remainder.
The following steps can be taken:
Step1: find LCM of x y and z, ie. L
Step2: divide n digit smallest number by L and find the remainder R.
Step3: the required number is= n digit smallest number + (L-R)

* If there are n numbers and HCF of each pair is x and LCM of all the n numbers is y the the product of the numbers is =
  [(x)^(n-1)×y]

* In the question of bell, if ringing interval are given in second, minutes and hours, then the time in which all bells rang at the same time is = ( LCM of time) + initial time



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

By Laws Of Nature
"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 …
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THE GENERAL THEORY OF RELATIVITY | A Unique way to explain gravitational phenomenon.

By Laws Of Nature
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Was East India Company supremely functioning as a Colonial Trading Group till 1857?

By Gaurav Rathi
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…
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THE SPECIAL THEORY OF RELATIVITY | understanding the basic concepts.

By Laws Of Nature
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Short-tricks and fast track arithmetic formulae on COMPOUND INTEREST | Laws Of Nature

By 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
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