MPSC Subordinate Services Combined Group B Prelims Exam 2022 | 10 Full-length Mock Tests ( Solved 1000+ Questions)


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Fundamentals of Mathematics


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Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who: have had previous courses in prealgebra wish to meet the prerequisites of higher level courses such as elementary algebra need to review fundamental mathematical concenpts and techniques This text will help the student devlop the insight and intuition necessary to master arithmetic techniques and manipulative skills. It was written with the following main objectives: to provide the student with an understandable and usable source of information to provide the student with the maximum oppurtinity to see that arithmetic concepts and techniques are logically based to instill in the student the understanding and intuitive skills necessary to know how and when to use particular arithmetic concepts in subsequent material cources and nonclassroom situations to give the students the ability to correctly interpret arithmetically obtained results We have tried to meet these objects by presenting material dynamically much the way an instructure might present the material visually in a classroom. (See the development of the concept of addition and subtraction of fractions in section 5.3 for examples) Intuition and understanding are some of the keys to creative thinking, we belive that the material presented in this text will help students realize that mathematics is a creative subject.




The Definite Integral


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Multiplying Fractions


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Grade Level: 3-6 CCSS Level: 4-6 Making fractions make sense! This 23-lesson learning unit is packed with hundreds of sequential fraction activities featuring both computation and word problems. As the third book in a series – following Adding Fractions and Subtracting Fractions – these exercises are designed to build upon what students have already learned. From “writing reciprocals of fractions, whole numbers, and mixed numbers,” to “multiplying a proper fraction by a proper fraction,” and on to “using a banana bread recipe to multiply fractions,” the activities in this book progress from learning basic concepts to mastering an understanding of how to multiply fractions. A Post Test and Answer Key are included.




Squares and Square Roots


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Foundation Course for NEET (Part 2): Chemistry Class 9


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Our NEET Foundation series is sharply focused for the NEET aspirants. Most of the students make a career choice in the middle school and, therefore, choose their stream informally in secondary and formally in senior secondary schooling, accordingly. If you have decided to make a career in the medical profession, you need not look any further! Adopt this series for Class 9 and 10 today.




Linear Ordinary Differential Equations


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Linear Ordinary Differential Equations, a text for advanced undergraduate or beginning graduate students, presents a thorough development of the main topics in linear differential equations. A rich collection of applications, examples, and exercises illustrates each topic. The authors reinforce students' understanding of calculus, linear algebra, and analysis while introducing the many applications of differential equations in science and engineering. Three recurrent themes run through the book. The methods of linear algebra are applied directly to the analysis of systems with constant or periodic coefficients and serve as a guide in the study of eigenvalues and eigenfunction expansions. The use of power series, beginning with the matrix exponential function leads to the special functions solving classical equations. Techniques from real analysis illuminate the development of series solutions, existence theorems for initial value problems, the asymptotic behavior solutions, and the convergence of eigenfunction expansions.




The Polymerase Chain Reaction


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James D. Watson When, in late March of 1953, Francis Crick and I came to write the first Nature paper describing the double helical structure of the DNA molecule, Francis had wanted to include a lengthy discussion of the genetic implications of a molecule whose struc ture we had divined from a minimum of experimental data and on theoretical argu ments based on physical principles. But I felt that this might be tempting fate, given that we had not yet seen the detailed evidence from King's College. Nevertheless, we reached a compromise and decided to include a sentence that pointed to the biological significance of the molecule's key feature-the complementary pairing of the bases. "It has not escaped our notice," Francis wrote, "that the specific pairing that we have postulated immediately suggests a possible copying mechanism for the genetic material." By May, when we were writing the second Nature paper, I was more confident that the proposed structure was at the very least substantially correct, so that this second paper contains a discussion of molecular self-duplication using templates or molds. We pointed out that, as a consequence of base pairing, a DNA molecule has two chains that are complementary to each other. Each chain could then act ". . . as a template for the formation on itself of a new companion chain, so that eventually we shall have two pairs of chains, where we only had one before" and, moreover, " ...




India Since Independence


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A thorough and incisive introduction to contemporary India The story of the forging of India, the world's largest democracy, is a rich and inspiring one. This volume, a sequel to the best-selling India's Struggle for Independence, analyses the challenges India has faced and the successes it has achieved, in the light of its colonial legacy and century-long struggle for freedom. The book describes how the Constitution was framed, as also how the Nehruvian political and economic agenda and basics of foreign policy were evolved and developed. It dwells on the consolidation of the nation, examining contentious issues like party politics in the Centre and the states, the Punjab problem, and anti-caste politics and untouchability. This revised edition offers a scathing analysis of the growth of communalism in India and the use of state power in furthering its cause. It also documents the fall of the National Democratic Alliance in the 2004 General Elections, the United Progressive Alliance's subsequent rise to power and the Indo-US Nuclear Deal that served to unravel the political consensus at the centre. Apart from detailed analyses of Indian economic reforms since 1991 and wide-ranging land reforms and the Green Revolution, this new edition includes an overview of the Indian economy in the new millennium. These, along with objective assessments of Jawaharlal Nehru, Indira Gandhi, Jayaprakash Narayan, Lal Bahadur Shastri, Rajiv Gandhi, Vishwanath Pratap Singh, Atal Bihari Vajpayee and Manmohan Singh, constitute a remarkable overview of a nation on the move.




A Brief History of Modern India


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