Indian Forest Service 2022 Mathematics Paper II Question Paper PDF

Central Government Jobs Other Jobs 2022

  • Year 2022
  • Conducted By UPSC
  • Questions 8
  • Maximum Marks 200
  • Duration Three Hours
  • Languages English

Exam Details

Detail Information
Examination Indian Forest Service (Main) Examination
Year 2022
Conducting Body UPSC
Paper Mathematics Paper - II
Subject Mathematics
Duration Three Hours
Maximum Marks 200
Number of Questions 8
Question Type Mixed

This document contains the official question paper for the Indian Forest Service (Main) Examination 2022, specifically Mathematics Paper II. Conducted by UPSC, this paper carries a maximum of 200 marks and allows three hours for completion. It is designed to assess the advanced mathematical knowledge of candidates aspiring to join the Indian Forest Service. The paper consists of eight questions, of which five are to be attempted, with specific instructions regarding compulsory questions and sectional choices. This paper is a vital resource for aspirants to understand the exam structure, difficulty level, and key topics covered in the IFS Main examination. This previous year Indian Forest Service (Main) Examination question paper (2022) is useful for Other Jobs aspirants preparing for Central government recruitment. The paper was conducted by UPSC and reflects the official exam pattern, marking scheme and difficulty level seen in recent cycles. Use it for timed practice, topic-wise revision and understanding how questions are framed in the real examination. Download the free PDF on QuizCurrent to read instructions, attempt MCQs and compare your answers with the study notes provided on this page. Key syllabus areas include Finite Fields, Homomorphisms, Real Numbers, Rational Numbers, Continuous Functions, Riemann Integrability, Linear Programming, Optimum Basic Feasible Solution. Useful for Indian Forest Service (Main) Examination preparation. Helps understand the latest exam pattern. Useful for practice and self-assessment.

Major Topics Covered

  • Finite Fields
  • Homomorphisms
  • Real Numbers
  • Rational Numbers
  • Continuous Functions
  • Riemann Integrability
  • Linear Programming
  • Optimum Basic Feasible Solution
  • Complex Integration
  • Sylow p-subgroups
  • Group Theory
  • Abstract Algebra
  • Real Analysis
  • Calculus

Why This Paper is Important

  • Useful for Indian Forest Service (Main) Examination 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

  • Indian Forest Service (Main) Examination 2022 Mathematics Paper I
  • Indian Forest Service (Main) Examination 2021 Mathematics Paper II
  • Indian Forest Service (Main) Examination 2022 General Studies Paper I
  • Indian Forest Service (Main) Examination 2022 Mathematics Paper II Answer Key
  • Indian Forest Service (Main) Examination Mathematics Syllabus
  • UPSC Main Exam Syllabus
  • Indian Forest Service (Main) Examination Pattern
  • UPSC Exam Pattern

Instructions

  • There are EIGHT questions in all, out of which FIVE are to be attempted.
  • Attempts of questions shall be counted in sequential order.
  • Unless struck off, attempt of a question shall be counted even if attempted partly.
  • Any page or portion of the page left blank in the Question-cum-Answer Booklet must be clearly struck off.
  • The number of marks carried by a question/part is indicated against it.
  • Unless otherwise mentioned, symbols and notations have their usual standard meanings.
  • Assume suitable data, if necessary, and indicate the same clearly.
  • Answers must be written in ENGLISH only.

Questions (page 2)

Section A

Q1.

(d) Prove that the linear programming problem Maximize z = 3x1 + 2x2 subject to the constraints : 2x1 + x2 ≤ 2 3x1 + 4x2 ≥ 12 x1, x2 ≥ 0 does not admit an optimum basic feasible solution.

(e) Compute the integral ∮ (1 + 2z + z2)/((z-1)2(z + 2))dz where C is |z| = 3.

Section A

Q2.

(a) Find all the Sylow p-subgroups of S4 and show that none of them is normal.

Question paper preview

Scanned pages 1–2 for reference. Download the official PDF for the full paper.

Page 1
Indian Forest Service Main 2022 Mathematics Paper II question paper page 1 instructions scan PDF download UPSC
Page 2
Indian Forest Service Main 2022 Mathematics Paper II question paper page 1 instructions scan PDF download UPSC

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Frequently asked questions

What is the name of the examination?

The examination is the Indian Forest Service (Main) Examination.

What is the year of this question paper?

This question paper is from the year 2022.

Who conducts the Indian Forest Service Examination?

The examination is conducted by UPSC (Union Public Service Commission).

What is the subject and paper name for this question paper?

The subject is Mathematics, and the paper name is Mathematics Paper - II.

What is the paper code?

The paper code is JHGT-B-MTH.

What are the maximum marks for this paper?

The maximum marks for Mathematics Paper - II is 200.

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