Maharashtra Forest Services Maths 2025 Paper
- Year 2025
- Conducted By Forest Services
- Questions 8
- Maximum Marks 200
- Duration Three Hours
Exam Details
| Detail | Information |
|---|---|
| Examination | Maharashtra Forest Services Main Examination |
| Year | 2025 |
| Conducting Body | Forest Services |
| Paper | Mathematics |
| Duration | Three Hours |
| Maximum Marks | 200 |
| Number of Questions | 8 |
Page 1 presents the Maharashtra Forest Services Mathematics paper details for 2025: maximum marks 200, three hours duration, English medium, conventional/descriptive format. Page 2 contains Section A with the repaired OCR of questions, instructing candidates to solve any five out of seven, with Q1 comprising multiple subparts (a)–(f) covering topics from Cartesian and polar coordinates to analysis, gradients, and interpolation. The OCR corrections align the question structure: Q1 (a)–(f) with each subpart carrying 8 marks, totaling 40 marks for Q1. The data line for interpolation at x = 10 is provided in the data set for Q1(f).
Major Topics Covered
- Maharashtra
- Forest Services
- Mathematics
- Coordinate Geometry
- Cartesian Coordinates
- Polar Coordinates
- Cauchy-Riemann Equations
- Partial Differential Equations
- Gradient
- Unit Normal Vector
- Compactness and Boundedness
- Convergence and Cauchy Sequences
- Interpolation
- Lagrange Interpolation
- Data Interpolation
- Sequence Convergence
- Real Analysis
- Mathematical Analysis
- Section A and Section B
- English Medium Examinations
Why This Paper is Important
- Useful for Maharashtra Forest Services Main Examina 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
- There are EIGHT questions divided in two Sections, out of which FIVE are to be
- * \rightarrow attempted. Question No. 1 and 5 are compulsory. Out of the remaining, THREE are to be
- attempted choosing at least ONE question from each Section.
- The number of marks carried by a question/sub-question is indicated against it.
- Keep in mind the word limit indicated in the question if any.
- Wherever option has been given, only the required number of responses in the serial order attempted
- Unless struck off, attempt of a question shall be counted even if attempted partly.
- Excess responses shall not be assessed and shall be ignored.
- Candidates are expected to answer all the sub-questions of a question together.
- If sub-question of a question is attempted elsewhere (after leaving a few page or after attempting another question) the later sub-question shall be overlooked.
- Any page or portion of the page left blank in the Answer Booklet must be clearly struck off.
- Unless otherwise mentioned, symbol and notation have their usual standard meanings.
- data, if necessary and indicate the same clearly.
- Neat sketches may be drawn, wherever required.
- The medium of answer should be mentioned on the answer book as claimed in the application and
- printed on admission card.
- The answers written in medium other than the authorized medium will not be assessed and no marks will be assigned to them.
- Note: Candidates will be allowed to use Scientific (Non-programmable type) calculators.
Questions (page 2)
Q2. Q1. (b) Prove that a continuous function on a compact set is bounded. 8
Q3.
Q1.
(c) State and prove the necessary conditions for f(z) to be analytic (Cauchy-Riemann Partial Differential Equations). 8
Q4. Q1. (d) Explain the concept of a 'Gradient' of a scalar field. Find the unit normal vector to the surface x^2y + 2xz2 - 8 = 0. 8
Q5. Q1. (e) Prove that a sequence ⟨an⟩ of real numbers converges, if and only if it is a Cauchy sequence. 8
Q6. Q1. (f) Using Lagrange's interpolation formula find the value of y when x = 10 from the following data: 8 5 6 9 11 x 12 13 14 16 y
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Frequently asked questions
What is the name of the exam?
Maharashtra Forest Services Main Examination.
What is the subject of Paper 1?
Mathematics.
What is the maximum marks for the paper?
200 marks.
What is the duration of the exam?
Three hours.
In what language is the paper conducted?
English.
How many questions must be attempted?
Eight questions in total across two sections; candidates must attempt five questions, with at least one from each section.