Q1 50M Compulsory solve Statistical analysis, SCM strategies, Information systems, Inventory management, Index numbers
(a) The mean annual income of workers in a company is ₹ 5,000 with a standard deviation of ₹ 1,200. It is suspected that local workers have higher than the average income. A sample of 144 local workers is drawn and their sample mean income is found to be ₹ 5,500. Can it be said that local workers have significantly higher income than the total population ? (Use α = 0·05) 10 marks
(b) What Supply Chain Management (SCM) strategies were adopted by leading e-commerce companies such as Amazon and Flipkart during the lockdown period caused by the Corona Pandemic ? 10 marks
(c) How can information system bring competitive advantage to business organisations by supporting managerial decision-making ? 10 marks
(d) An engineering firm has determined that for a particular part, the cost of purchase is ₹ 350 per order and ₹ 22 per part. Its inventory carrying cost is 15% of the average inventory. The firm currently purchases ₹ 2,20,000 worth of this part every year.
(i) Determine the Economic Order Quantity (EOQ). 5 marks
(ii) What is the optimum number of days supply per optimum order ? 5 marks
(e) What is Fisher's ideal index ? Why is it called ideal ? Describe the steps involved in the computation of Fisher's ideal index number. 3+2+5 marks
Answer approach & key points
This multi-part question requires solving numerical problems in (a), (d)(i) and (d)(ii), while describing SCM strategies in (b), explaining IS competitive advantage in (c), and elaborating Fisher's index in (e). Allocate approximately 15-18 minutes for the 10-mark statistical hypothesis test (a), 12-15 minutes each for the descriptive parts (b), (c), and (e), and 8-10 minutes combined for the EOQ calculations (d)(i)-(ii). Begin with clear statements of hypotheses/formulas, show all computational steps, and conclude with managerial interpretations for numerical parts.
- Part (a): Correct formulation of null and alternative hypotheses (H₀: μ = 5000 vs H₁: μ > 5000), calculation of Z-statistic = (5500-5000)/(1200/√144) = 5, comparison with critical value 1.645, and conclusion that local workers have significantly higher income
- Part (b): SCM strategies including inventory pre-positioning, surge capacity utilization, contactless last-mile delivery, supplier diversification, dynamic demand forecasting, and workforce safety protocols adopted by Amazon and Flipkart during COVID-19
- Part (c): Information systems supporting decision-making through MIS/DSS/ESS, real-time analytics, predictive modeling, and strategic alignment with Porter's competitive forces or resource-based view for sustainable advantage
- Part (d)(i): EOQ calculation using formula √(2×D×S/H) where D=10,000 units, S=₹350, H=₹3.30, yielding EOQ ≈ 1,456 units or ₹32,032 value
- Part (d)(ii): Optimum days supply = (EOQ/D)×365 ≈ 53 days, or using working days adjustment if specified
- Part (e): Fisher's ideal index as geometric mean of Laspeyres and Paasche indices, satisfies time reversal and factor reversal tests, steps include computing p₀q₀, p₁q₀, p₀q₁, p₁q₁, then applying √(Σp₁q₀/Σp₀q₀ × Σp₁q₁/Σp₀q₁) × 100
Q2 50M solve Probability, Decision theory, DSS and MIS, Equipment replacement, Inventory control
(a) (i) 'A' can hit a target 4 times in 5 shots, 'B' 3 times in 4 shots and 'C' twice in 3 shots. Calculate the probability :
(A) 'A', 'B', 'C' all may hit the target. 2 marks
(B) 'B' and 'C' may hit the target, but 'A' may not hit it. 2 marks
(C) 'C' and 'A' may hit the target, but 'B' may not hit it. 2 marks
(ii) A decision problem has been expressed in the following payoff table :
| States of Nature | Alternatives | | |
|---|---|---|---|
| | A₁ | A₂ | A₃ |
| E₁ | 190 | 186 | 182 |
| E₂ | 164 | 162 | 166 |
| E₃ | 142 | 144 | 174 |
Which alternative will be selected if the following criterion is used ?
(A) Maximax criterion 3 marks
(B) Maximin criterion 3 marks
(C) Hurwicz's criterion 3 marks
(Assume degree of optimism is 0·7)
(b) (i) "Decision Support System (DSS) and Management Information System (MIS) are very helpful for managers in taking decisions." Comment and support your answer. 5 marks
(ii) How can DSS be differentiated from MIS ? 5 marks
(iii) What are the components of DSS ? 5 marks
(iv) What are the similarities and dissimilarities between data-driven and document-driven DSS ? 5 marks
(c) (i) A firm is considering replacement of an equipment, whose first cost is ₹ 4,000 and the scrap value is negligible at the end of any year. Based on experience, it was found that the maintenance cost is zero during the first year and it is ₹ 1,000 for the second year. It increases by ₹ 300 every year thereafter.
(A) When should the equipment be replaced if the interest rate is 0% (zero percent) ? 5 marks
(B) When should the equipment be replaced if the interest rate is 12% ? 5 marks
(ii) "Inventory Control is a rational process in which decision-making is often done irrationally." Explain. 5 marks
Answer approach & key points
This is a multi-part numerical and theoretical question requiring precise calculations and conceptual explanations. Allocate approximately 35% time to part (a) probability and decision theory calculations, 40% to part (b) DSS/MIS conceptual answers, and 25% to part (c) equipment replacement and inventory control. Begin with clear step-by-step calculations for probabilities and payoffs, then structure theoretical parts with definitions, distinctions, and practical illustrations, concluding with synthesized insights on managerial decision-making.
- Part (a)(i): Correct calculation of joint probabilities for independent events - P(A)=4/5, P(B)=3/4, P(C)=2/3; all hit = 0.4, B&C hit only = 0.1, C&A hit only = 0.133
- Part (a)(ii): Application of decision criteria - Maximax (A₁=190), Maximin (A₃=166), Hurwicz (A₁=175.6, A₂=173.4, A₃=174.4 → select A₁)
- Part (b)(i)-(iv): Clear distinction between DSS and MIS; DSS components (data, model, dialogue); comparison of data-driven vs document-driven DSS with examples
- Part (c)(i): Equipment replacement analysis - zero interest: replace at year 5 (min average cost ₹1,400); 12% interest: use present worth analysis for optimal replacement
- Part (c)(ii): Explanation of inventory control paradox - rational models (EOQ, ABC) vs irrational behavioral factors like panic buying, supplier pressure, or managerial biases
Q3 50M solve E-business, E-governance, Linear Programming, Statistics, Quality Control
(a) (i) What is e-business architecture? Which technological innovations have had a major impact on it? 5 marks
(ii) Describe the four pillars of e-governance and the various types of interactions performed in e-governance. 5 marks
(iii) Discuss the Indian Government's efforts and actions towards implementing e-governance. 5 marks
(b) (i) Solve the following Linear Programming Problem by Graphical Method: 10 marks
Minimize cost:
C = 5x₁ + 6x₂
subject to:
x₁ + x₂ = 1000
x₁ ≤ 300
x₂ ≥ 150
x₁, x₂ ≥ 0
(ii) A certain drug is claimed to be effective in curing cold. In an experiment on 500 persons suffering from cold, half of them were given the drug and the other half were given the sugar pills. Patients' reactions to the treatment are recorded in the following table:
| Treatment | Helped | Harmed | No Effect |
|-----------|--------|--------|-----------|
| Drug | 150 | 30 | 70 |
| Sugar pills | 130 | 40 | 80 |
| Total | 280 | 70 | 150 |
On the basis of the above data, can it be concluded that there is a significant difference in the effect of drug and sugar pills? 10 marks
(c) (i) Apply the concept of "Decay Curve of New Product Ideas" to an innovative product like 'e-Bike'. 5 marks
(ii) A manufacturing company always uses a sample size of 10. Data for the past 10 samples are as follows:
| Number of Defective Units | Total Units Sampled |
|---|---|
| 150 | 1,000 |
The system is believed to be operating under normal conditions.
(A) Construct a control chart with control limits such that measurements for 95% of the units under normal conditions would fall within the control limits. 5 marks
(B) Suppose the number of units defective in the next 5 samples are:
3, 4, 2, 0 and 7.
Demonstrate graphically whether the process is under control or not. 5 marks
Answer approach & key points
This multi-part question requires solving numerical problems alongside descriptive answers. Begin with (b)(i) LPP graphical solution and (b)(ii) chi-square test as they carry 20 marks combined—allocate ~35% time here. For (a)(i)-(iii), structure definitions first, then pillars/interactions, followed by Indian e-governance initiatives like Digital India and UMANG. For (c), apply the decay curve concept to e-Bike innovation stages, then construct p-chart for quality control with clear graphical demonstration. Conclude with integrated insights on technology-management convergence.
- (a)(i) E-business architecture definition covering infrastructure, application, and integration layers; technological innovations like cloud computing, IoT, AI/ML, blockchain, and 5G networks
- (a)(ii) Four pillars of e-governance (People, Process, Technology, Resources) and G2G, G2C, G2B, G2E interaction types with brief explanations
- (a)(iii) Indian e-governance efforts: Digital India, UMANG, DigiLocker, e-Hospital, GSTN, NeGP, and state initiatives like Karnataka's Bhoomi or Andhra Pradesh's e-Pragati
- (b)(i) Correct graphical LPP solution: identify feasible region from equality constraint x₁+x₂=1000 intersecting with x₁≤300 and x₂≥150, optimal point at (300,700), minimum cost C=5(300)+6(700)=5700
- (b)(ii) Chi-square test for independence: calculate expected frequencies, χ² statistic, compare with critical value at 5% or 1% significance, conclude on drug effectiveness claim
- (c)(i) Decay curve application to e-Bike: idea generation stage, screening and evaluation, business analysis, product development, test marketing, commercialization with attrition at each stage
- (c)(ii) p-chart construction: center line p̄=150/1000=0.15, control limits UCL/LCL = p̄ ± 3√[p̄(1-p̄)/n], plot sample proportions 0.3,0.4,0.2,0,0.7 to show out-of-control signals
Q4 50M discuss Line Balancing, Quality Management, Six Sigma, Project Management, Statistics, ERP
(a) (i) How does the balancing line reduce the cost of idleness? Describe the steps involved in solving a line balancing problem. 5 marks
(ii) W.E. Deming said, "85% of poor quality can be attributed to management". Discuss this statement in the context of World Class Manufacturing Systems. 5 marks
(iii) What role is played by Green belts, Black belts and Master Black belts for managing 'Six-Sigma' quality in a Software Development Company? 5 marks
(iv) For a project, the following information is given:
| Activity | Node | Expected Activity Completion Time |
| --- | --- | --- |
| A | 1 – 2 | 11 |
| B | 2 – 3 | 10 |
| C | 2 – 4 | 8 |
| D | 2 – 5 | 5 |
| E | 3 – 6 | 6 |
| F | 4 – 6 | 9 |
| G | 5 – 7 | 2 |
| H | 6 – 7 | 7 |
| I | 7 – 8 | 12 |
| J | 7 – 9 | 5 |
(A) Draw the network diagram. 3 marks
(B) Find the critical path. 2 marks
(b) (i) Twelve salesmen are ranked for efficiency and their length of service. Find the rank correlation coefficient.
| Salesmen | Efficiency | Length of Service |
|----------|------------|-------------------|
| A | 1 | 2 |
| B | 2 | 1 |
| C | 3 | 5 |
| D | 5 | 3 |
| E | 5 | 9 |
| F | 5 | 7 |
| G | 7 | 7 |
| H | 8 | 6 |
| I | 9 | 4 |
| J | 10 | 11 |
| K | 11 | 10 |
| L | 12 | 11 |
(ii) What are the tenets of Central Limit Theorem? Discuss the concept of Standard Error. What is its utility in hypothesis testing? 3+2+5 marks
(c) (i) Why is ERP important to a company? 4 marks
(ii) Explain the economic aspects of ERP implementation and the hidden cost therein. 5 marks
(iii) Discuss in detail any three ERP implementation strategies. 6 marks
Answer approach & key points
This multi-part question requires descriptive, analytical, and computational responses across six sub-parts. Allocate time proportionally: ~15% for (a)(i)-(iii) conceptual parts, ~20% for (a)(iv) network diagram and critical path calculation, ~15% for (b)(i) rank correlation calculation, ~20% for (b)(ii) statistical theory, and ~30% for (c) ERP components. Begin with brief definitions, proceed to systematic problem-solving for quantitative parts, and integrate Indian industry examples for qualitative sections.
- (a)(i) Line balancing reduces idle time cost by equalizing workstation cycle times; steps include: determine cycle time, calculate minimum workstations, assign tasks using precedence constraints and heuristic rules (longest task time, most followers), calculate efficiency and balance delay
- (a)(ii) Deming's 85% rule reflects his System of Profound Knowledge; in World Class Manufacturing, this translates to management responsibility for variation reduction, continuous improvement (Kaizen), supplier quality, and employee empowerment—contrasting with worker-blame approaches
- (a)(iii) Green belts (part-time, project execution), Black belts (full-time, statistical analysis, project leadership), Master Black belts (strategic deployment, training, methodology design) in software context: defect prevention, code review automation, release management
- (a)(iv) Network diagram with correct node-activity mapping; critical path identification through forward/backward pass: paths 1-2-3-6-7-8 (44), 1-2-3-6-7-9 (37), 1-2-4-6-7-8 (45), 1-2-4-6-7-9 (38), 1-2-5-7-8 (30), 1-2-5-7-9 (23); critical path: 1-2-4-6-7-8 (45 days)
- (b)(i) Spearman's rank correlation: handle tied ranks (D: 4.5, E: 4.5, F: 4.5 for efficiency; G: 7.5, L: 11.5 for service), calculate d², apply correction formula ρ = 1 - [6Σd² + correction]/[n(n²-1)]; expected value approximately +0.6 to +0.7 indicating moderate positive correlation
- (b)(ii) CLT tenets: sample mean approaches normal distribution as n→30 regardless of population distribution; standard error = σ/√n measures sampling variability; utility in hypothesis testing: z-tests, confidence intervals, determining sample size for desired precision
- (c)(i) ERP importance: process integration, real-time data visibility, supply chain coordination, regulatory compliance, decision support; Indian context: GST compliance, MSME digitization
- (c)(ii) Economic aspects: TCO (software, hardware, implementation, training); hidden costs: customization, data migration, change management, productivity dip, vendor lock-in, post-implementation support
- (c)(iii) Three strategies: Big Bang (high risk, fast), Phased (module-by-module, moderate risk), Process-oriented/Parallel (pilot site, lowest risk); or Vanilla (minimal customization), Best-of-breed, Single vendor
Q5 50M Compulsory elucidate Strategic management and business environment
(a) "The Government of India has been making efforts to remove the regional imbalances in development by providing incentives for setting up industries in rural areas." Elucidate. (10 marks)
(b) (i) Describe the different levels of regional economic integration. (5 marks)
(ii) What are the pros and cons of 'BREXIT'? (5 marks)
(c) "A vision is too abstract to be of any practical value." Do you agree with the statement? Justify your answer with a suitable example. Explain how objectives form hierarchy. (10 marks)
(d) (i) Elucidate the factors that influence country competitiveness. (5 marks)
(ii) Explain the factors that a company should evaluate to assess 'ease of doing business in India'. (5 marks)
(e) How does BCG Matrix help in portfolio planning? What are the advantages and limitations of such a portfolio analysis? (10 marks)
Answer approach & key points
The directive 'elucidate' demands clear, comprehensive explanation with supporting evidence. Structure: brief introduction on strategic management and business environment → Part (a): Government incentives for rural industrialization (20%, ~200 words) → Part (b): Regional economic integration levels and BREXIT analysis (20%, ~200 words) → Part (c): Vision-objectives debate with hierarchy explanation (20%, ~200 words) → Part (d): Country competitiveness factors and ease of doing business in India (20%, ~200 words) → Part (e): BCG Matrix application, advantages and limitations (20%, ~200 words) → integrated conclusion. Allocate time proportionally to marks; use contemporary Indian examples throughout.
- Part (a): Government incentives for rural industrialization – ASPIRE, SFURTI, Cluster Development Programme, tax holidays, infrastructure subsidies; critique effectiveness in reducing regional imbalances
- Part (b)(i): Five levels of regional economic integration – Free Trade Area, Customs Union, Common Market, Economic Union, Political Union with clear distinctions
- Part (b)(ii): BREXIT analysis – sovereignty, immigration control, trade autonomy vs. economic disruption, financial services relocation, Northern Ireland protocol issues
- Part (c): Vision-objectives debate – Tata Group's 'Leadership in Life' vision or ISRO's Mars mission as counter-examples; objectives hierarchy from corporate to operational levels
- Part (d)(i): Porter's Diamond Model or WEF GCI factors for country competitiveness – factor conditions, demand conditions, related industries, firm strategy
- Part (d)(ii): Ease of Doing Business in India – GST, Insolvency and Bankruptcy Code, labour reforms, single-window clearance, World Bank ranking improvement
- Part (e): BCG Matrix – Stars, Cash Cows, Question Marks, Dogs; resource allocation logic; Reliance or ITC portfolio examples; limitations in dynamic markets
- Synthesis: Interconnection between macro environment (government policy, regional integration) and micro strategic tools (BCG, vision-objectives framework)
Q6 50M critically analyse International business and strategic management
(a) (i) What is the rationale behind liberalization strategies adopted by the New Industrial Policy? (6 marks)
(ii) "The term 'globalisation' assumes increasing importance in today's techno-economic parlance." Explain this statement in the context of the Indian economy. (7 marks)
(iii) Discuss the various initiatives undertaken by the Indian Chamber of Commerce (ICC) to promote both national and international trade. (7 marks)
(b) (i) Describe the four cultural predispositions that MNCs are likely to adopt towards managing employees in global context. (5 marks)
(ii) How does Hofstede's model on cultural dimensions equip international managers with an understanding of cultures across countries? (10 marks)
(c) (i) Identify the linkages between primary and secondary activities of Porter's value-chain model. (5 marks)
(ii) How is value-chain analysis conducted? Explain with the help of an example. (5 marks)
(iii) "Strategy follows structure, structure supports strategy." Critically analyse this statement. (5 marks)
Answer approach & key points
The directive 'critically analyse' in part (c)(iii) demands the highest-order thinking, requiring balanced evaluation of the strategy-structure relationship across all sub-parts. Allocate time proportionally: ~40% to part (a) [20 marks], ~30% to part (b) [15 marks], and ~30% to part (c) [15 marks]. Structure with brief introductions for each sub-part, systematic point-wise coverage, and a synthesising conclusion that links liberalisation-globalisation themes to contemporary Indian economic realities.
- For (a)(i): Rationale of NIP 1991 liberalisation—decontrol of MRTP/FERA, delicensing, dismantling 'licence raj', attracting FDI, technology infusion, and global competitiveness
- For (a)(ii): Globalisation in Indian context—integration with WTO, trade liberalisation, FDI inflows, digital economy, GVC participation, and challenges like jobless growth
- For (a)(iii): ICC initiatives—trade fairs, bilateral chambers, policy advocacy, MSME support, arbitration services, and international business delegations
- For (b)(i): Four cultural predispositions—ethnocentric, polycentric, regiocentric, and geocentric approaches to IHRM with MNC illustrations
- For (b)(ii): Hofstede's six dimensions (PDI, IDV, MAS, UAI, LTO, IND) applied to cross-cultural management, team dynamics, and marketing adaptation
- For (c)(i): Linkages between primary activities (inbound/outbound logistics, operations, marketing, service) and support activities (HR, technology, procurement, infrastructure)
- For (c)(ii): Value-chain analysis steps—activity identification, cost driver analysis, competitive advantage identification; example: ITC or Maruti Suzuki
- For (c)(iii): Critical analysis of Chandler's thesis—strategy-structure reciprocity, contingency factors, and contemporary critiques from Mintzberg and emergent strategy perspectives
Q7 50M elaborate Strategic management and international business
(a) (i) "Generic strategies help a firm to gain and sustain competitive advantage over its rivals." Elaborate this statement by giving suitable examples for each type of generic strategy. (8 marks)
(ii) Explain the growth strategies of expansion, integration and diversification by citing suitable examples. Under which conditions are these strategies most suitable for adoption ? (12 marks)
(b) A number of Public Sector Undertakings (PSUs) are managed and controlled by the government. Justify the State participation in business by citing suitable examples from these PSUs. Do you think that the government's decision to monetize some of these PSUs is justified ? Give reasons to support your answer. (10+5 marks)
(c) (i) Explain the various financing techniques employed in foreign trade. (5 marks)
(ii) What are the main features of the following documents ? (10 marks)
(A) Letter of Credit
(B) Bill of Lading
(C) Commercial Invoice
(D) Consular Invoice
(E) Insurance Certificate
Answer approach & key points
The directive 'elaborate' demands detailed explanation with examples across all sub-parts. Allocate approximately 40% time/words to part (a) [20 marks], 30% to part (b) [15 marks], and 30% to part (c) [15 marks]. Structure: brief introduction on strategic management relevance; body addressing (a)(i) Porter's generic strategies with Indian examples, (a)(ii) growth strategies with conditions, (b) PSU justification with monetization debate, (c) trade finance techniques and document features; conclusion synthesizing strategic choices for Indian firms.
- (a)(i) Porter's three generic strategies (cost leadership, differentiation, focus) with clear elaboration and Indian examples (e.g., Amul for cost leadership, Titan for differentiation)
- (a)(ii) Growth strategies: expansion (market penetration, development), integration (backward/forward), diversification (concentric/conglomerate) with suitable conditions for each
- (b) Justification for state participation: strategic sectors, employment generation, balanced regional development, examples like ONGC, SAIL, BHEL; monetization arguments (efficiency, fiscal deficit) and counter-arguments (strategic loss, employment)
- (c)(i) Foreign trade financing: pre-shipment (packing credit), post-shipment (negotiation, discounting), buyer's credit, supplier's credit, factoring, forfaiting
- (c)(ii) Five documents: Letter of Credit (bank guarantee), Bill of Lading (title document), Commercial Invoice (payment claim), Consular Invoice (customs clearance), Insurance Certificate (risk coverage)
- Integration across parts showing how strategic choices align with financing decisions and ownership structures in international business context
Q8 50M discuss International operations and corporate governance
(a) (i) What are the similarities and dissimilarities between domestic operations management and international operations management ? (5 marks)
(ii) Explain the various strategic issues involved in international operations management. (10 marks)
(iii) Describe the various issues involved in global organizational design. (5 marks)
(b) (i) Why are mergers and acquisitions (M&As) gaining popularity among Indian corporates ? (5 marks)
(ii) Is it possible to take over a target company in a hostile manner ? Justify your answer. (5 marks)
(iii) Despite comprehensive strategic planning, many M&As do not yield the desired results. Discuss the possible reasons for the same, citing suitable examples. (5 marks)
(c) (i) "The past decades have witnessed a number of scandals and shareholder disputes, all of which indicate lacunae, if not lapses, in governance." In the light of this statement, discuss the role of Indian corporate governance framework in responding to these challenges. (8 marks)
(ii) "While the Public Distribution System (PDS) forms a cornerstone of government food and nutrition policy, India continues to be home to a large population of hungry and malnourished people." Critically analyze this statement by focussing on the functioning and efficiency of the PDS in achieving food and nutritional security in India. (7 marks)
Answer approach & key points
The directive 'discuss' requires a balanced, analytical treatment across all sub-parts. Allocate approximately 40% of time/words to part (a) [20 marks], 30% to part (b) [15 marks], and 30% to part (c) [15 marks]. Structure: brief introduction on globalization and governance challenges; body addressing each sub-part sequentially with clear sub-headings; conclusion synthesizing lessons for Indian corporate competitiveness and food security.
- For (a)(i): Compare domestic vs international operations on complexity, risk exposure, coordination mechanisms, and cultural dimensions; cite environmental and operational similarities
- For (a)(ii): Analyze strategic issues—market selection, entry mode decisions (FDI/JV/licensing), global supply chain configuration, currency/political risk management, and standardization vs adaptation
- For (a)(iii): Discuss global organizational design issues—centralization vs decentralization, coordination mechanisms, subsidiary roles (strategic leader/contributor), and matrix structures
- For (b)(i)-(iii): Explain drivers of Indian M&As (market access, capabilities, scale); justify hostile takeovers via SEBI regulations and examples; analyze failure reasons—cultural clash, overpayment, integration failure with cases like Tata-Corus or Flipkart-Walmart
- For (c)(i): Evaluate Indian corporate governance framework—Companies Act 2013, SEBI LODR, Kotak Committee—against scandals like Satyam, IL&FS, Yes Bank; assess effectiveness
- For (c)(ii): Critically analyze PDS functioning—leakages, exclusion errors, Aadhaar integration, NFSA 2013; contrast with success of Tamil Nadu/Chhattisgarh models vs persistent malnutrition
- Synthesis: Connect corporate governance failures to M&A underperformance; link operational efficiency in both private and public sectors to national competitiveness