If you are preparing for the IGNOU Term-End Examination and need complete, accurate solved answers for AOR-01, you have come to the right place. Unnati Education has prepared a full solved paper for AOR-01 Operations Research based on the actual December 2025 question paper. This is built for BA, B.Com, B.Sc, and BSW students enrolled under the BDP programme.
About This Solved Paper
| Prepared by | Unnati Education Team— IGNOU-experienced academic content writer |
| Qualification | Graduate with specialisation in Operations Research and Mathematics |
| Course name | Bachelor of Arts (BA), Bachelor of Commerce (B.Com), B.Sc, BSW (Application Oriented Courses) |
| Institution reference | IGNOU Term-End Examination, December 2025 |
Download Now — Get AOR-01 December 2025 Solved Paper
There is no point spending hours searching through incomplete Telegram files or outdated PDFs. Unnati Education has the AOR 1 Question Paper December 2025 solved paper ready with stepwise numerical solutions that match the actual December 2025 examination. Get it now and start revising with confidence.
What is AOR-01 Question Paper December 2025?
The AOR 01 December 2025 question paper is the official IGNOU Term-End Examination for Operations Research under BDP, carrying 50 marks, with Q1 compulsory and any four questions from Q2 to Q7, completed in 2 hours without a calculator.
AOR-01 is an Application Oriented Course offered under IGNOU's Bachelor's Degree Programme. The paper carries a 70% weightage toward the final grade. Question 1 carries 10 marks and tests conceptual understanding through true or false statements with reasoning. Questions 2 to 7 each carry 10 marks and cover numerical problems across the full syllabus. Students must attempt any four from these six questions.
About IGNOU AOR-01 — Operations Research
AOR-01 is one of the more calculation-intensive courses in the IGNOU BDP. It covers how mathematical techniques are applied to real-world decision-making problems. Linear programming, transportation, assignment, queuing theory, inventory management, network analysis, and simulation are all part of this subject. Most students find the subject manageable once they understand the method for each topic — it is largely about following the right procedure for the right type of problem.
That is why having a well-prepared solved paper matters more here than in theory-heavy subjects. A clear, stepwise numerical answer shows you exactly how the method works in practice, which makes revision far more effective than reading notes alone.
AOR-01 December 2025 — Question Paper Pattern and Marks Breakdown
Question 1 is compulsory and carries 10 marks across five sub-parts of 2 marks each. Each sub-part requires you to identify whether a statement is true or false and support your answer with a short proof or counter-example. From Question 2 to Question 7, each question carries 10 marks and you must attempt any four. Total marks are 50 and the examination duration is 2 hours. Here is the important part — calculators are not allowed, so all numerical working must be done by hand. Practising with solved examples is essential before the exam.
| Total marks | 50 |
| Duration | 2 hours |
| Question 1 | Compulsory, 10 marks |
| Questions 2 to 7 | Attempt any 4, 10 marks each |
| Calculator | Not allowed |
All Questions — AOR-01 December 2025 Question Paper (Complete List)
Below are all the questions exactly as set in the IGNOU December 2025 examination. These are the questions your solved paper addresses completely.
Question 1 (Compulsory — 10 Marks)
Which of the following statements are true and which are false? Give a short proof or a counter-example in support of your answer: 2×5=10
- (i) The dual of the dual is the primal in LPP.
- (ii) In a project network, a sequence of activities form a loop.
- (iii) An unbalanced transportation problem can be converted into balanced transportation problem through the addition of an appropriate slack variable.
- (iv) Multiple optimum solutions imply that at least one worker get more than one job assigned.
- (v) The time interval between consecutive arrivals always follows Poisson distribution.
Question 2
(a) A drive in bank window has a mean service time of 2 minutes, while the customers arrive at a rate of 20 per hour. Assuming that these represent rates with Poisson distribution, determine: 5
- (i) The proportion the teller will be idle.
- (ii) How long a customer will wait before reaching the server?
- (iii) What fraction of customers will have to wait in line?
- (iv) The probability that a customer has to wait.
(b) The demand for a particular item is 18000 units per year. The holding cost per unit is Rs. 1.20 per year and the cost of one procurement is Rs. 400. No shortages are allowed and the replacement rate is instantaneous. Determine: 5
- (i) Optimum order quantity
- (ii) Number of orders per year
- (iii) Time between orders
- (iv) Total cost per year, when the cost of one unit is Re. 1.
Question 3
(a) Solve the following Assignment problem: 5
Job 1 2 3 4 5 A: 8 4 2 6 1 B: 0 9 5 5 4 Person C: 3 8 9 2 6 D: 4 3 1 0 3 E: 9 5 8 9 5
(b) Solve the following transportation problem: 5
Destination 1 2 3 4 Availability Source 1: 21 16 25 13 — 11 Source 2: 17 18 14 23 — 13 Source 3: 32 27 18 41 — 19 Requirement: 6 10 12 15 — 43
Question 4
(a) Write the dual of the following Linear Programming Problem: 5 Maximize: z = 3x1 - 2x2 + 4x3 subject to the constraints: 3x1 + 5x2 + 4x3 >= 7 6x1 + x2 + 3x3 >= 4 7x1 - 2x2 - x3 <= 10 x1 - 2x2 + 5x3 >= 3 4x1 + 7x2 - 2x3 >= 2 x2 >= 0, x3 >= 0, x1 is unrestricted.
(b) A project schedule has the following characteristics: 5
Activity — Time 1 to 2: 4 1 to 3: 1 2 to 4: 1 3 to 4: 1 3 to 5: 6 4 to 9: 5 5 to 6: 4 5 to 7: 8 6 to 8: 1 7 to 8: 2 8 to 10: 5 9 to 10: 7
Find critical path.
Question 5
(a) Use simplex method to solve the following LPP: 7 Maximize: z = x1 - x2 + 3x3 subject to the constraints: x1 + x2 + x3 <= 10 2x1 - x3 <= 2 2x1 - 2x2 + 3x3 <= 0 x1, x2, x3 >= 0.
(b) Find all the sequences that minimizes the total elapsed time required to complete the following tasks on two machines: 3
Task — Machine 1 — Machine 2 I: 20 — 25 II: 90 — 60 III: 80 — 75 IV: 20 — 30 V: 120 — 90 VI: 15 — 35 VII: 65 — 50
Question 6
(a) A company manufactures 30 items per day. The sale of these items depends upon the demand, which has the following distribution:
Sales (units) — Probability 27: 0.10 28: 0.15 29: 0.20 30: 0.35 31: 0.15 32: 0.05
Using the following random numbers, estimate the shortage/surplus of items per day for the next 10 days: 5 35, 44, 8, 15, 35, 28, 61, 67, 70, 45
(b) A diet for a sick person must contain at least 4000 units of vitamins, 50 units of minerals and 1400 calories. Two foods A and B are available at a cost of Rs. 4 and Rs. 3 per unit, respectively. If one unit of A contains 200 units of vitamins, 1 unit of mineral and 40 calories and one unit of food B contains 100 units of vitamins, 2 units of minerals and 40 calories, formulate an LPP for minimizing the cost and solve it graphically. 5
Question 7
(a) We have five jobs, each of which must go through machines A, B and C in order ABC, processing time (in hours) are given in the following table: 5
Job — Machine A — Machine B — Machine C 1: 8 — 5 — 4 2: 10 — 6 — 9 3: 6 — 2 — 8 4: 7 — 3 — 6 5: 11 — 4 — 5
Find the total minimum elapsed time and idle time for each machine.
(b) Solve the following integer programming problem using branch and bound method: 5 Min.: z = 3x1 + 2.5x2 s.t.: x1 + 2x2 >= 20 3x1 + 2x2 >= 50 x1, x2 >= 0 and are integers.
AOR-01 Syllabus Topics Covered in December 2025 Paper
The December 2025 paper covers the core of the AOR-01 syllabus. Linear programming features in Q1, Q4, Q5, and Q6 through LPP duality, simplex method, graphical method, and integer programming. Transportation and assignment problems appear in Q3. Inventory management through the EOQ model is tested in Q2. Queuing theory covers the bank window problem in Q2. Network analysis and critical path method are tested in Q4. Sequencing across two and three machines features in Q5 and Q7. Simulation using random numbers appears in Q6.
Sample Answer Preview — See How We Solve AOR-01 Questions
Here is how our solved paper approaches Q2(b) on inventory:
Given: Annual demand D = 18000 units, holding cost h = Rs. 1.20 per unit per year, procurement cost C0 = Rs. 400. EOQ = square root of (2 × D × C0 / h) = square root of (2 × 18000 × 400 / 1.20) = square root of 12,000,000 = 3464 units (approximately). Number of orders per year = 18000 / 3464 = approximately 5.2 orders. Time between orders = 1 / 5.2 = approximately 0.19 years or about 10 weeks.
Want complete stepwise solutions for all selected questions? Get the full solved paper now.
How to Write High-Scoring Answers in AOR-01 — Exam Tips
Always begin a numerical answer by clearly stating the given data before writing the formula. Examiners award marks for each step, so never skip intermediate working. For LPP problems, write the objective function and constraints neatly before starting the simplex tableau or graph. For assignment and transportation problems, show each iteration clearly with row and column headings. True or false answers in Q1 need a supporting proof or a specific counter-example — simply writing true or false without reasoning gets zero marks. Keep your tables aligned and your working legible. In a 2-hour paper with no calculator, speed and accuracy both depend on how well you have practised.
Who Should Use This AOR-01 December 2025 Solved Paper?
This solved paper is most useful for BA, B.Com, B.Sc, and BSW students registered under IGNOU's BDP programme who appeared for AOR-01 in December 2025. Students repeating the examination will benefit especially, as they can identify where their previous working went wrong. Those preparing for management entrance exams or government job tests that include operations research topics will also find the numerical solutions genuinely helpful as practice material.
Why This Is Better Than Free AOR-01 PDFs and Telegram Files
Free Telegram PDFs for AOR-01 are often poorly formatted, contain errors in numerical working, or are copied from old papers that do not match the current question set. In a subject like Operations Research, one wrong step in a solution misleads you about the entire method. Unnati Education's solved paper is prepared fresh for the December 2025 paper with accurate, stepwise solutions. Every formula is correctly applied. Every table is properly constructed. This is not a scan of someone else's handwritten notes — it is a properly prepared academic resource.
Student Reviews — AOR-01 Solved Paper by Unnati Education
Amit Verma, B.Com IGNOU Delhi: "The EOQ and queuing theory answers were explained so clearly. I finally understood how to set up the formula correctly. Passed AOR-01 in December 2025."
Sneha Patel, B.Sc IGNOU Ahmedabad: "The critical path and simplex method solutions were exactly what I needed. Step by step, no confusion. Got the paper within an hour of contacting them."
Ravi Kumar, BA IGNOU Patna: "The assignment problem and transportation problem solutions helped me understand the Hungarian method properly. Very well prepared and worth the price."
How to Get the AOR-01 December 2025 Solved Paper — Step by Step
- Step 1: Contact Unnati Education via the WhatsApp number or order button on this page.
- Step 2: Share your course code (AOR-01) and confirm you need the December 2025 solved paper.
- Step 3: Receive your complete solved paper instantly on WhatsApp or email.
No long waiting, no complicated process.
Frequently Asked Questions — AOR-01 December 2025
What is AOR-01 in IGNOU?
AOR-01 is Operations Research, an Application Oriented Course offered under IGNOU's Bachelor's Degree Programme. It covers mathematical techniques used for decision-making in management and logistics. Topics include linear programming, transportation, assignment problems, queuing theory, inventory management, network analysis, simulation, and integer programming. It is offered to BA, B.Com, B.Sc, and BSW students.
Is the use of a calculator allowed in AOR-01 exam?
No, the use of a calculator is not allowed in the AOR-01 December 2025 examination. All numerical calculations must be completed by hand within the 2-hour time limit. This makes it especially important to practise methods like simplex, Hungarian algorithm, and EOQ calculations manually before the exam so that working under exam conditions becomes faster and more accurate.
How many questions are compulsory in AOR-01?
Question 1 is fully compulsory in AOR-01 and carries 10 marks across five sub-parts of 2 marks each. From Questions 2 to 7, you must attempt any four questions. Each of those questions carries 10 marks. The total paper adds up to 50 marks. Attempting Question 1 in full is mandatory and cannot be substituted with any other question in the paper.
What is the total marks and weightage of AOR-01?
The AOR-01 December 2025 paper carries a total of 50 marks. This paper has a weightage of 70% toward the final grade for the course. The remaining 30% comes from the assignment. The examination duration is 2 hours. Given the relatively compact 50-mark structure, each question and each step within a numerical answer carries significant weight, making accuracy very important.
What topics should I focus on for AOR-01 December 2025?
Based on the December 2025 paper, the highest-priority topics are linear programming including simplex and dual, transportation and assignment problems, inventory theory especially EOQ, queuing theory, critical path method, sequencing, simulation using random numbers, and integer programming using branch and bound. These topics collectively cover all seven questions in the paper and represent the full examination scope for AOR-01.
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