MSU B.Com III Sem Business Mathematics & Statistics Important Questions 2026 | PYQ & Unit Wise

MSU B.Com Important Questions – BMS April 2026

Manonmaniam Sundarnar University

B.Com (CBCS) · 3rd Semester | Based on Syllabus + PYQs (2024 & 2025)

📌 Note: Questions marked ★ are highly repeated across previous papers. PYQ indicates it appeared in a past exam. All 5 units carry equal weightage — prepare all units for Part C (8-mark questions).

Unit I — Ratios & Logarithms

This unit mainly focuses on laws of indices, logarithms, simplification techniques, and numerical applications. Questions from logarithms and indices are repeatedly asked in university examinations. Practice simplification problems regularly and revise logarithm properties carefully.

Preparation Tips:

• Memorize all basic logarithm laws and index rules.
• Practice numerical simplification daily.
• Focus on repeated PYQ-based logarithm problems.

Part A — MCQ Level (1 Mark)

1. Value of 5⁰ = ? (PYQ Nov 2024)
2. Value of log₂ 8 = ? (PYQ Nov 2024)
3. Value of log(0.0001) = ? (PYQ Apr 2025)
4. Value of (3.2)³ = ? (PYQ Apr 2025)
5. ★ Number of digits in 3²⁴ using log (PYQ Nov 2025)

Part B — Short Answer (5 Marks)

1. ★ Simplify: 81² × 27 using indices (PYQ Nov 2024)
2. ★ Find the value of log₅(log₅ 3125) (PYQ Nov 2024)
3. ★ Find the value of X if 2^(x+1) + 3.2^(x−3) = 76 (PYQ Nov 2025)
4. ★ Simplify: (log 72 − log 3) ÷ (⅓ log 27 + ½ log 64) (PYQ Nov 2025)
5. Simplify: 2(4)⁻³ + (4/3)⁻² + (x+7)⁰ (PYQ Apr 2025)
6. If log 2 = 0.3010, find the value of log 50 (PYQ Apr 2025)

Part C — Long Answer (8 Marks)

1. ★ Simplify complex indices expressions (e.g., involving 5⁻¹, 7², negative & fractional powers) (PYQ Nov 2024)
2. ★ Show that log(108/128) + log(20/36) + log(32/15) = 0 (PYQ Nov 2024)
3. ★ Simplify: 5^(2x+3) · 10^(4x+1) ÷ [25^(3x+2) · 16x^(−½)] (PYQ Nov 2025)
4. ★ Find value using logarithm: (0.2926 / 5.683) (PYQ Nov 2025 & Apr 2025)
5. Simplify expressions involving aᵐ·aⁿ, 5^17·5^13 type laws (PYQ Apr 2025)

Unit II — Interest & Annuity

This unit contains practical commercial mathematics problems including simple interest, compound interest, annuity, true discount, and banker’s discount. Numerical problems from this section are frequently repeated in Part B and Part C.

Preparation Tips:

• Learn all important formulas thoroughly.
• Practice time conversion problems carefully.
• Focus on annuity and banker’s discount calculations.

Part A — MCQ Level (1 Mark)

1. ★ Formula for Simple Interest (SI = Pni) (PYQ Nov 2024)
2. Difference between SI and CI on Rs. 1200 at 10% for 2 years (PYQ Nov 2025)
3. Formula for present value of perpetuity (V = P/i) (PYQ Nov 2025)
4. Compound interest on Rs. 30,000 for 3 years at 10% (PYQ Apr 2025)

Part B — Short Answer (5 Marks)

1. ★ Banker's discount problem — Bill drawn for Rs. 3,650 on Jan 1, due April 3, discounted Feb 17 at 12% p.a. (PYQ Nov 2024)
2. ★ What is Annuity? Types and examples (PYQ Nov 2024)
3. ★ Total interest on Rs. 500 for 73 days, Rs. 720 for 14 weeks, Rs. 900 for 3 months at 6% p.a. (PYQ Nov 2025)
4. ★ Amount for annuity of Rs. 2,000/year for 10 years at 5% compounded annually (PYQ Nov 2025)
5. Period for Rs. 1,200 to amount to Rs. 1,700 at 12% p.a. (PYQ Apr 2025)
6. A person deposits Rs. 2,000 each year end, 5% compound interest — total after 10 years (PYQ Apr 2025)

Part C — Long Answer (8 Marks)

1. ★ True discount, Banker's discount and Banker's gain on a bill of Rs. 5175 due 6 months at 7% p.a. (PYQ Nov 2025)
2. ★ Difference between SI and CI is Rs. 384.60, n = 4, rate = 10% — find the sum (PYQ Nov 2025 & Apr 2025)
3. ★ A person deposits a sum; it amounts to Rs. 7,440 in 3 years and Rs. 8,400 in 5 years — find sum and rate of SI (PYQ Nov 2024)
4. Find the 12th term and sum of first 12 terms of A.P. 45, 41, 37 (PYQ Nov 2024)
5. X sold goods worth Rs. 5,000 on 6 months credit at 6% — true discount, banker's discount, amount received (PYQ Apr 2025)

Unit III — Measures of Central Tendency & Variation

This is one of the most important scoring units in Business Statistics. Students should focus on mean, median, mode, standard deviation, quartiles, and coefficient of variation. Numerical practice is essential for scoring high marks.

Preparation Tips:

• Practice grouped and ungrouped data problems.
• Revise standard deviation formulas regularly.
• Understand step-by-step calculation methods.

Part A — MCQ Level (1 Mark)

1. ★ Arithmetic mean of ages 22, 24, 20, 25, 29 (PYQ Nov 2024)
2. ★ Mode for data: 3, 4, 4, 5, 5, 5, 6, 7 (PYQ Nov 2024)
3. Best measure of central tendency (PYQ Nov 2025)
4. Sum of deviations from arithmetic mean is always (PYQ Apr 2025)
5. Quartile deviation includes Central 50% (PYQ Apr 2025)

Part B — Short Answer (5 Marks)

1. ★ Find median from daily wages frequency table (PYQ Nov 2024)
2. ★ Find range and co-efficient of range for wages data (PYQ Nov 2024)
3. ★ Find range of weights of 7 students: 27, 30, 35, 36, 38, 40, 43 (PYQ Nov 2025)
4. ★ Calculate standard deviation for 10 B.Com students' marks (PYQ Nov 2025)
5. Semi-interquartile range and quartile coefficient from age-member table (PYQ Apr 2025)
6. Compute geometric mean from marks frequency table (PYQ Apr 2025)

Part C — Long Answer (8 Marks)

1. ★ Find mean, median, mode from marks distribution table (0-10, 10-20... 40-50) (PYQ Nov 2024)
2. ★ Co-efficient of variation for marks: 60, 70, 80, 90, 100 (PYQ Nov 2024)
3. ★ Standard deviation from marks (10, 20, 30, 40, 50, 60) with frequency (PYQ Nov 2025 & Apr 2025)
4. ★ Median from grouped data (10-25, 25-40... 85-100) with frequency (PYQ Nov 2025)
5. Mean, median and ages of married women at first child birth (large data set) (PYQ Apr 2025)
6. Calculate standard deviation from frequency distribution (10-20, 20-30... 50-60) (PYQ Apr 2025)

Unit IV — Correlation & Regression

This unit explains relationships between variables using correlation and regression techniques. Problems related to regression equations and rank correlation are commonly repeated in university examinations.

Preparation Tips:

• Understand the difference between correlation and regression.
• Practice Spearman’s rank correlation problems.
• Revise regression formula applications carefully.

Part A — MCQ Level (1 Mark)

1. ★ Correlation coefficient of 0 means — no correlation (PYQ Nov 2024)
2. ★ Main purpose of regression analysis (PYQ Nov 2024)
3. ★ Co-efficient of correlation can be positive or negative (PYQ Nov 2025)
4. When r = 0, regression lines cut at 90° (PYQ Nov 2025)
5. If r² = 0.81, then r = ? (0.9) (PYQ Apr 2025)
6. When two regression lines coincide, r = 1 (PYQ Apr 2025)

Part B — Short Answer (5 Marks)

1. ★ Types of correlation (PYQ Nov 2024)
2. ★ Spearman's rank correlation for 10 students (Statistics vs Mathematics ranks) (PYQ Nov 2024)
3. ★ Distinguish between correlation and regression (PYQ Nov 2025)
4. ★ Pearman's rank correlation for 5 college students (Maths vs Statistics) (PYQ Nov 2025)
5. Correlation between height of father and son (PYQ Apr 2025)
6. Expected value of Y when X = 12 using regression (PYQ Apr 2025)

Part C — Long Answer (8 Marks)

1. ★ Find co-efficient of correlation between X and Y (9 pairs of data) (PYQ Nov 2024)
2. ★ Find regression equation of Y on X for given data (PYQ Nov 2024)
3. ★ Calculate co-efficient of correlation between X and Y series (given: n=15, means, SD, sum of squares) (PYQ Nov 2025)
4. ★ Regression equation for car age vs maintenance cost (PYQ Nov 2025 & Apr 2025)
5. Co-efficient of correlation: covariance = 36, variance of x = 16, r = 0.48 — find SD of y (PYQ Apr 2025)

Unit V — Time Series & Index Numbers

This unit covers trend analysis, moving averages, seasonal variations, and index number calculations. Questions from Fisher’s index, cost of living index, and moving averages are highly important for university examinations.

Preparation Tips:

• Practice moving average calculations regularly.
• Understand formulas for Laspeyre’s, Paasche’s, and Fisher’s index.
• Revise trend and seasonal variation concepts.

Part A — MCQ Level (1 Mark)

1. ★ Commonly used index number — Consumer Price Index (PYQ Nov 2024)
2. ★ Cost of Living Index expressed as — a percentage (PYQ Nov 2024)
3. Best average for construction of index number — Geometric Mean (PYQ Nov 2025 & Apr 2025)
4. Which component used for short-term forecast — Seasonal (PYQ Nov 2025)
5. Seasonal variations repeat during — one year (PYQ Apr 2025)

Part B — Short Answer (5 Marks)

1. ★ Find three-year moving averages for production data (PYQ Nov 2024)
2. ★ Simple price index taking 2016 as base year (PYQ Nov 2024)
3. ★ Draw trend line by semi-average method (Sales data 2001–2007) (PYQ Nov 2025)
4. ★ Chain index numbers from link relatives (PYQ Nov 2025)
5. Calculate trend value using least square method (PYQ Apr 2025)
6. Weighted average of price relative index for Wheat, Sugar, Milk (PYQ Apr 2025)

Part C — Long Answer (8 Marks)

1. ★ Calculate Laspeyre's, Paasche's and Fisher's price index number (4 commodities, 2 years) (PYQ Nov 2024)
2. ★ Cost of living index number from commodity data with weights (PYQ Nov 2024)
3. ★ Three yearly moving average (10 years data: 1998–2007) (PYQ Nov 2025 & Apr 2025)
4. ★ Trend of profits by moving average method (8 years commercial concern data) (PYQ Nov 2025)
5. Cost of Living Index 2007 vs 2006 (Food, Fuel, Clothing, Rent, Misc) (PYQ Apr 2025)
6. Trend value by method of least squares (Production data 2002–2007) (PYQ Apr 2025)

Why These Questions Are Important

The questions listed above are prepared using repeated previous year university questions and syllabus analysis. Many questions have appeared multiple times in university examinations, making them highly important for revision and last-minute preparation. Students are advised to practice both theory and numerical problems from every unit to improve exam performance.

How to Score High in Business Mathematics & Statistics

• Revise formulas daily before the examination.
• Practice at least one numerical problem from each topic.
• Focus on PYQ-based repeated problems.
• Write calculation steps clearly in the examination.
• Manage time effectively during Part C problems.

📝 Exam Strategy:

• Part A (10×1=10): Revise all MCQ-level concepts above — especially zero index, log values, SI formula, correlation coefficient, index numbers.
• Part B (5×5=25): Practice 2 questions per unit. Focus on banker's discount, median, rank correlation, annuity, moving averages.
• Part C (5×8=40): Master at least one question per unit. Fisher's index, standard deviation, correlation, regression, and SI/CI are repeated every year.
• Total = 75 marks. Time = 3 hours.

Disclaimer: This material is compiled only for educational and revision purposes based on previous year question papers and syllabus references. The questions provided here are not official predictions of the university examination. Students are advised to prepare all topics from the prescribed syllabus. We do not claim ownership of any university questions or academic content referenced in this post.

Prepared based on MSU B.Com 3rd Semester PYQs: Nov 2024 (Code 22178E), Nov 2025 (Code 31050E), April 2025 (Code 12081E) & Syllabus Notes · For Academic Use Only