How is the paper divided?

The paper is divided into two sections: Section A (compulsory subjective questions) and Section B (optional subjective questions).

How many questions are in Section A and what is their marking?

Section A has four compulsory subjective questions, each carrying 10 marks.

How many questions are in Section B and how many need to be answered?

Section B has seven optional subjective questions, out of which candidates need to answer any four, each carrying 40 marks.

What is the paper code mentioned in the OCR?

The paper code mentioned is 2MT00014.

What is the exam stage for this paper?

This paper is for the Main Exam stage.

JPSC ACF Main Exam 2024 Mathematics Paper-II PDF

Name: JPSC ACF Main Exam 2024 Mathematics Paper-II PDF
Creator: JPSC
Keywords: JPSC ACF Main Exam, Mathematics Paper-II, Assistant Conservator of Forest, ACF Exam, JPSC Mathematics Paper, Subjective Question Paper, 2024 Exam Paper, ACF Syllabus, JPSC Recruitment, Forest Officer Exam, Group Theory, Complex Integration, Differential Equations, Lagrangian Mechanics, Previous Year Paper

Jharkhand Government Jobs Administrative / Civil Services

Conducted By JPSC
Maximum Marks 200
Duration 3 Hours
Languages Hindi & English

Exam Details

Detail	Information
Examination	ASSISTANT CONSERVATOR OF FOREST,MAIN EXAM.
Conducting Body	JPSC
Paper	Mathematics Paper-II
Subject	Mathematics
Duration	3 Hours
Maximum Marks	200
Question Type	Descriptive / Subjective

This document contains the Mathematics Paper-II for the JPSC Assistant Conservator of Forest (ACF) Main Examination. The paper is divided into two sections, Section A and Section B, with a total of 200 marks and a duration of 3 hours. Section A includes compulsory subjective questions, while Section B offers optional subjective questions. This paper is crucial for aspirants aiming to qualify for the ACF position in Jharkhand, providing a clear understanding of the expected mathematical concepts and problem-solving skills required.

Major Topics Covered

Group Theory
Normal Subgroups
Abelian Groups
Cauchy's Residue Theorem
Complex Integration
Runge-Kutta Method
Differential Equations
Lagrange's Equations of Motion
Conservative Systems
Simple Pendulum

Why This Paper is Important

Useful for ASSISTANT CONSERVATOR OF FOREST,MAIN EXA 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

JPSC ACF Main Exam General Studies Paper-I
JPSC ACF Main Exam General Studies Paper-II
JPSC ACF Main Exam Optional Subject Papers
JPSC ACF Main Exam Mathematics Paper-II Answer Key 2024
JPSC ACF Main Exam Syllabus
Mathematics Syllabus for Competitive Exams
JPSC ACF Main Exam Pattern
Subjective Exam Pattern Guide

Instructions

खण्ड – अबके अनिवार्य प्रश्न में 4 विषयनिष्ठ प्रश्न हैं जिसमें प्रत्येक विषयनिष्ठ प्रश्न के 10 अंक हैं।
इसके अतिरिक्त खण्ड -- ब के 7 विषयनिष्ठ वैकल्पिक प्रश्नों में से किन्हीं 4 विषयनिष्ठ प्रश्न का उत्तर दें जिनमें प्रत्येक प्रश्न के 40 अंक हैं।
वैकल्पिक प्रश्नों का उत्तर वर्णनात्मक रूप से लिखें।
उत्तर पुस्तिका में प्रत्येक खण्ड व प्रश्न के लिये पेज निर्धारित हैं।
दिया जाता हैं कि प्रश्नों के उत्तर निर्धारित पेज पर ही लिखना सुनिष्चित करेंगे।
यदि अभ्यर्थी प्रश्नों के उत्तर निर्धारित पेज पर नहीं लिखते हैं तो उक्त परिस्थिति में उस प्रश्न के उत्तर की जाँच नहीं की जायगी एवं इसकी समस्त जिम्मेवारी स्वयं अभ्यर्थी की होगी । INSTRUCTION:

The question paper is divided into two sections.

Questions (page 2)

Section A

Q1. जाँच कीजिए कि उपसमूह [10] H = \0, 3\ समुह (Z,, + ) का सामान्य उपसमुह है या नहीं। Define a normal subgroup. Prove that every subgroup of an abelian group is normal. Determine whether the subgroup H = \0, 3\ of the group (Z₆, + ) is normal. काउशी का अवशेष प्रमेय लिखिए तथा अवशेष प्रमेय का प्रयोग कर समाकल का मान ज्ञात कीजिए। [10] 2. ∮_C (z²)/((z-1)(z-2)) dz, जहाँ C वृत्त |z| = 3 है। State Cauchy's residue theorem and evaluate the integral ∮_C (z²)/((z-1)(z-2)) dz, Where C is the circle |z| = 3, using the residue theorem. चतुर्थ-कोटि रनगे कुट्टा विधि का प्रयोग कर y(0.2) का मान ज्ञात कीजिए, यदि [10] 3. (dy)/(dx) = x + y, y(0) = 1 Using the fourth-order Runge-Kutta method, find the value of y(0.2) given (dy)/(dx) = x + y, y(0) = 1 संरक्षणीय तंत्र के लिए लाग्रांज के गति समीकरण लिखिए तथा उसमें प्रयुक्त पदों की व्याख्या कीजिए। लाग्रांज 4. समीकरणों की सहायता से लंबाई / वाले सरल लोलक की गति का समीकरण व्युत्पन्न कीजिए। [10] State Lagrange's equations of motion for a conservative system. Clearly explain the terms involved. Using Lagrange's equations, derive the equation of motion of a simple pendulum of length loscillating in a vertical plane. GAN4-MT THEFT HERE [2] 2MT00014

Question paper preview

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

JPSC Assistant Conservator of Forest Main Exam Mathematics Paper-II 2024 question paper page 1 scan, showing exam instructions, marks, and time details. PDF download. — Page 1

Free question paper download

Download question paper PDF

181 KB
6 pages
PDF format

Frequently asked questions

What is the name of the exam?

The exam is the ASSISTANT CONSERVATOR OF FOREST, MAIN EXAM. (Advt.No.-03/2024).

Which conducting body organizes this exam?

The exam is conducted by JPSC.

What is the paper name and subject?

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

What is the maximum marks for this paper?

The maximum marks for this paper are 200.

What is the time allowed to complete the paper?

The time allowed is 3 Hours.

What is the question type for Mathematics Paper-II?

The question type is subjective, with questions requiring descriptive answers.

← Back to Administrative / Civil Services papers