Jharkhand Govt Math Paper-II OCR Repair 4418

Jharkhand Government Jobs Other Jobs

  • Conducted By Government of Jharkhand
  • Maximum Marks 200
  • Languages English & Hindi

Exam Details

Detail Information
Examination Mathematics Paper-II
Conducting Body Government of Jharkhand
Paper Mathematics Paper-II
Subject Mathematics
Maximum Marks 200
Question Type Mixed

This SEO set combines page 1 details for Mathematics Paper-II (Accounts Officer, Main Examination, Advt. 06/2019) with page 2’s repaired objective content. Page 1 provides exam metadata, bilingual instruction, and section structure (Section A and B with eight questions each; answer five, at least one from each section; 200 marks total). Page 2 offers repaired, numbered items spanning group theory proofs (order of groups 143 and 10), linear programming basics (reducing to a basic feasible solution), calculus (contour integration), and algebraic structures in Z[x]. The SEO plan targets competitive exams in Jharkhand government services, with a focus on mixed question types (descriptive and objective) and cross-language accessibility. The metadata, FAQ, topics, and keywords are designed to boost discoverability for learners preparing for Indian government exams, mathematics papers, and related topics in algebra, optimization, and analysis.

Major Topics Covered

  • Group theory
  • Abstract algebra
  • Cyclic groups
  • Subgroups
  • Normal subgroups
  • Order of groups
  • Linear programming
  • Feasible solution
  • Basic feasible solution
  • Contour integration
  • Complex analysis
  • Optimization
  • Assignment problem
  • Matrix methods
  • Polynomial rings
  • Z[x]
  • Ideals
  • Feasible regions
  • Equality constraints
  • Hindi-English bilingual questions

Why This Paper is Important

  • Useful for Mathematics Paper-II preparation
  • Helps understand the latest exam pattern
  • Useful for practice and self-assessment
  • Covers frequently asked General Studies topics
  • Helpful for analysing question trends

Related Resources

Instructions

  • पूर्णांक : 200 The paper is divided into two sections Section A and Section B. Each Instructions: section contains eight questions. Candidate will have to answer any five questions selecting at least one from each section. Each question carries 40 marks. Marks distribution of each question is allotted in their right margin. प्रश्नपत्र कुल दो खंडों खण्ड − A तथा खण्ड − B में बँटा है ।
  • प्रत्येक खंड में आठ प्रश्न हैं ।
  • निर्देश : प्रत्येक खण्ड से न्यूनतम एक प्रश्न का चयन करते हुए प्रतियोगी को किन्हीं पाँच प्रश्नों के उत्तर देने हैं ।
  • प्रत्येक प्रश्न 40 (चालीस) अंकों का है ।
  • प्रत्येक प्रश्नों के अंक वितरण उनके दाहिने तरफ आवंटित हैं । Section / \overline{G^{U}\mathcal{S}} - A Prove that a

Questions (page 2)

Q1. Prove that every group of order 143 is cyclic.

Q2. Prove that every group of order 10 has a unique normal subgroup of order 5.

Q3. Reduce the feasible solution x1 = 2, x2 = 4 and x3 = 1 of the system of linear equations to a basic feasible solution.

Q4. Evaluate ∫ dZ/(Z-3) where circle C is given by |Z-2| = 5.

Q5. Siddhariye ki 143 order ke group ka har group cyclic hota hai. (Hindi)

Q6. Siddh kariye ki 10 order ke group mein order 5 ka subgroup unique aur normal hota hai.

Q7. Feasible solutions of linear equations 2x1 − x2 + 2x3 = 2, x1 + 4x2 = 18 to a basic feasible solution.

Q8. Convert x1 = 2, x2 = 4, x3 = 1 to a basic feasible solution.

Q9. Evaluate the integral ∫ dZ/(Z-3) where |Z-2| = 5.

Q10. Evaluate ∫ xb/(1+x2) dx by contour integration.

Q11. Solve the following assignment problem: (b) Job matrix (contents as per OCR).

Q12. Prove that subset S = {x f
(x) : f
(x) ∈ Z} is a prime ideal of Z[x], where Z denotes the set of integers.

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Frequently asked questions

What is the exam name?

Mathematics Paper-II for Accounts Officer (Main Examination) under Jharkhand Government Jobs.

How many sections are in the paper?

Two sections, Section A and Section B.

How many questions must a candidate attempt?

Answer five questions in total, with at least one from each section.

What is the total marks for the paper?

Total maximum marks are 200.

What languages are used in the paper?

The paper is bilingual in English and Hindi.

What is the paper code?

Paper code 4418.

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