Class 12 Mathematics and Statistics (Commerce) Part 2 – Daily Revision MCQ (English Medium)
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An agent gets 4% ordinary commission plus 1% del credere commission on sales of ₹40,000. What is his total commission?
Chapter 1: Commission, Brokerage and Discount
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Answer: D. ₹2,000
Ordinary 4% of 40,000 = ₹1,600 and del credere 1% = ₹400; total = ₹2,000.According to the textbook, from whom does a broker charge brokerage?
Chapter 1: Commission, Brokerage and Discount
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Answer: A. Both the buyer and the seller
A broker brings buyer and seller together, and the brokerage is charged to both the parties.In an annuity due, when is the first instalment paid?
Chapter 2: Insurance and Annuity
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Answer: C. At the beginning, as soon as the contract is made
Under an annuity due, payments start from the time of the contract; in an immediate (ordinary) annuity the first payment comes at the end of the first period.For two variables, bYX = 0.8 and bXY = 0.45. What is the correlation coefficient r?
Chapter 3: Linear Regression
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Answer: B. 0.6
r² = bYX × bXY = 0.8 × 0.45 = 0.36, so r = 0.6; r is positive because both regression coefficients are positive.The two lines of regression intersect at which point?
Chapter 3: Linear Regression
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Answer: A. (x̄, ȳ), the means of X and Y
The point (x̄, ȳ) satisfies both regression equations, so it is their point of intersection.Every year the demand for umbrellas and raincoats rises in the rainy season. Which component of a time series is this?
Chapter 4: Time Series
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Answer: C. Seasonal variation
A pattern of change within a year that repeats every year is seasonal variation.Laspeyre's price index number is 125 and Paasche's is 121. What is Dorbish-Bowley's price index number?
Chapter 5: Index Numbers
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Answer: D. 123
Dorbish-Bowley's index is the average of Laspeyre's and Paasche's: (125 + 121) ÷ 2 = 123.The corner points of the feasible region of an LPP are (0, 0), (5, 0), (3, 4) and (0, 6). What is the maximum value of z = 4x + 3y?
Chapter 6: Linear Programming
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Answer: B. 24, at (3, 4)
z at the corners: 0, 20, 4×3 + 3×4 = 24, and 18; the largest is 24 at (3, 4).How is an unbalanced assignment problem (rows ≠ columns) made balanced?
Chapter 7: Assignment Problem and Sequencing
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Answer: A. By adding dummy rows/columns with zero costs
When resources and activities are unequal, dummy resources/tasks with zero cost are added so the cost matrix becomes square.A random variable X follows a binomial distribution with n = 20 and p = 0.3. What is Var(X)?
Chapter 8: Probability Distributions
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Answer: C. 4.2
Var(X) = npq = 20 × 0.3 × 0.7 = 4.2 (6 is the mean np, not the variance).
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All questions are written by PadhaiNotes in our own words from the chapters of the official Maharashtra State Board Balbharati textbook (ebalbharati.in). Each question shows its chapter.