Ques:Information: - Great Britain, also known as Britain, is a large island in the north Atlantic Ocean off the northwest coast of continental Europe. With an area of , Great Britain is the largest European island and the ninth-largest in the world. In 2011 the island had a population of about 61million people, making it the world's third-most populous island after Java in Indonesia and Honshu in Japan. The island of Ireland is situated to the west of it, and together these islands, along with over 1,000 smaller surrounding islands, comprise the British Isles archipelago. - The Industrial Revolution was the transition to new manufacturing processes in the period from about 1760 to sometime between 1820 and 1840. This transition included going from hand production methods to machines, new chemical manufacturing and iron production processes, improved efficiency of water power, the increasing use of steam power, the development of machine tools and the rise of the factory system. Textiles were the dominant industry of the Industrial Revolution in terms of employment, value of output and capital invested; the textile industry was also the first to use modern production methods. The Industrial Revolution began in Great Britain and most of the important technological innovations were British. The social, economic and political changes in the previous centuries in Great Britain contributed. Whereas absolutism stayed the normal form of power execution through most parts of Europe, institutions ensured property rights and political safety to the people in the UK after the Glorious Revolution of 1688. Aided by these legal and cultural foundations, an entrepreneurial spirit and consumer revolution drove industrialisation in Britain, which would be emulated in countries around the world. A change in marrying patterns to getting married later made people able to accumulate more human capital during their youth, thereby encouraging economic development. - The Glorious Revolution, also called the Revolution of 1688, was the overthrow of King James II of England (James VII of Scotland) by a union of English Parliamentarians with the Dutch stadtholder William III of Orange. William's successful invasion of England with a Dutch fleet and army led to his ascension of the English throne as William III of England jointly with his wife Mary II of England, James's daughter, in conjunction with the documentation of the Bill of Rights 1689. - An ore is a type of rock that contains sufficient minerals with important elements including metals that can be economically extracted from the rock. The ores are extracted from the earth through mining; they are then refined (often via smelting) to extract the valuable element, or elements. - John Galt ( / lt / ; 2 May 1779 -- 11 April 1839 ) was a Scottish novelist , entrepreneur , and political and social commentator . Because he was the first novelist to deal with issues of the Industrial Revolution , he has been called the first political novelist in the English language . He was the founder of the city of Guelph in Canada , and father of Sir Alexander Tilloch Galt of Montreal . After reading the paragraphs above, we are interested in knowing the entity with which 'john galt ' exhibits the relationship of 'country of citizenship'. Find the answer from the choices below. Choices: - earth - england - great britain - indonesia - scotland

Ans:scotland
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Ques:Information: - Number theory or, in older usage, arithmetic is a branch of pure mathematics devoted primarily to the study of the integers. It is sometimes called "The Queen of Mathematics" because of its foundational place in the discipline. Number theorists study prime numbers as well as the properties of objects made out of integers (e.g., rational numbers) or defined as generalizations of the integers (e.g., algebraic integers). - The abc conjecture ( also known as the Oesterle -- Masser conjecture ) is a conjecture in number theory , first proposed by Joseph Oesterle ( 1988 ) and David Masser ( 1985 ) . It is stated in terms of three positive integers , a , b and c ( hence the name ) that are relatively prime and satisfy a + b = c. If d denotes the product of the distinct prime factors of abc , the conjecture essentially states that d is usually not much smaller than c. In other words : if a and b are composed from large powers of primes , then c is usually not divisible by large powers of primes . The precise statement is given below . The abc conjecture has already become well known for the number of interesting consequences it entails . Many famous conjectures and theorems in number theory would follow immediately from the abc conjecture . Goldfeld ( 1996 ) described the abc conjecture as '' the most important unsolved problem in Diophantine analysis '' . Several solutions have been proposed to the abc conjecture , the most recent of which is still being evaluated by the mathematical community . - A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example, 5 is prime because 1 and 5 are its only positive integer factors, whereas 6 is composite because it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 can be expressed as a product of primes that is unique up to ordering. The uniqueness in this theorem requires excluding 1 as a prime because one can include arbitrarily many instances of 1 in any factorization, e.g., 3, 1 3, 1 1 3, etc. are all valid factorizations of 3. - In Algebraic number theory, an algebraic integer is a complex number that is a root of some monic polynomial (a polynomial whose leading coefficient is 1) with coefficients in formula_1 (the set of integers). The set of all algebraic integers, , is closed under addition and multiplication and therefore is a commutative subring of the complex numbers. The ring is the integral closure of regular integers formula_1 in complex numbers. After reading the paragraphs above, we are interested in knowing the entity with which 'abc conjecture' exhibits the relationship of 'statement describes'. Find the answer from the choices below. Choices: - natural number - ring

Ans:
natural number
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