Statistics Paper II (IFS Mains 2021) – Section A & B MCQ Preview
- Year 2021
- Maximum Marks 200
- Duration Three Hours
Exam Details
| Detail | Information |
|---|---|
| Examination | Indian Forest Service (Main) Exam |
| Year | 2021 |
| Paper | Paper - II |
| Subject | STATISTICS |
| Duration | Three Hours |
| Maximum Marks | 200 |
This JSON aggregates the IFS (Main) Statistics Paper II from the 2021 examination. Page 1 provides exam metadata and instructions: eight questions in total, Q1 and Q5 compulsory, English answers, time 3 hours, 200 marks. Page 2 contains repaired objective questions focusing on Section A (Quality Control and SQC concepts) and Section B numerical problems, including reliability theory, c-charts, hazard function, a linear programming problem, and an assignment/problem-solving scenario. The repair preserves numbering (Q1 (a)-(d)) and splits merged stems to deliver a clean, machine-readable MCQ dataset. The SEO output includes titles, meta descriptions, FAQs, topics, keywords, and image metadata to support indexing and discoverability for exam resources.
Major Topics Covered
- IFS
- Main Exam
- Statistics
- Paper II
- Quality Control
- SQC
- c-chart
- Defects vs defectives
- Reliability function
- Hazard function
- Probability distributions
- Graphical linear programming
- Linear programming
- Optimization
- District allocation
- Assignment problem
- Profit maximization
- Forester statistics
- Exam instructions
- Section A and Section B
Why This Paper is Important
- Useful for Indian Forest Service (Main) Exam preparation
- Helps understand the latest exam pattern
- Useful for practice and self-assessment
- Covers frequently asked General Studies topics
- Helpful for analysing question trends
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Instructions
- There are EIGHT questions in all, out of which FIVE are to be attempted.
- Out of the remaining SIX questions, THREE are to be attempted selecting at least ONE question from each of the two Sections A and B.
- 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)
Q2. Q1. (b) If T is a random variable representing the hours of failure for a device with following pdf: f(t) = t e^{-t2/2}; t ≥ 0, find the reliability function and hazard function. [8]
Q3. Q1. (b) If 50 devices are placed in operation and 27 are still in operation 1 hour later, find the approximate expected number of failures in the time interval from 1 to 1.1 hours using the hazard function. [8]
Q4.
Q1.
(c) Solve the following linear programming problem graphically: Minimize Z = 20x1 + 20x2 subject to x1 + 2x2 ≥ 1; 2x1 + x2 ≥ 2; 2x1 + 3x2 ≥ 3; 3x1 + 2x2 ≥ 4; x1, x2 ≥ 0 [8]
Q5. Q1. (d) A company has a team of four salesmen and there are four districts (d) where the company wants to start its business. The profit per day (in τ̄) for each salesman in each district is estimated as given below: Districts 1 2 3 4 A 16 10 14 11 B 14 11 15 15 C 15 15 13 12 D 13 12 14 15 Find the assignment of salesmen to various districts which will yield maximum profit. [8]
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Frequently asked questions
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Use the Download PDF button on this page to save the official Indian Forest Service (Main) Exam (2021) Paper - II paper hosted on QuizCurrent.
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Refer to the instructions section on page 1 for the total question count and marking scheme.