Class 12 Mathematics and Statistics (Commerce) Part 2 – Daily Revision MCQ (English Medium)
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To get the legal due date of a bill, how many days of grace are added to the nominal due date?
Chapter 1: Commission, Brokerage and Discount
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Answer: B. 3 days
The textbook states that 3 days of grace are added to the nominal due date to get the legal due date.A bill of face value ₹12,000 is discounted at 10% p.a. with 73 days left to its legal due date. What is the banker's discount? (Take 1 year = 365 days.)
Chapter 1: Commission, Brokerage and Discount
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Answer: D. ₹240
B.D. = interest on face value for the remaining days = 12,000 × 10/100 × 73/365 = ₹240.An annuity whose payments start only after a deferment period, or when the annuitant reaches a specified age, is called:
Chapter 2: Insurance and Annuity
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Answer: A. a deferred annuity
The textbook defines a deferred annuity as one where payments start after a deferment period or at a specified age.For two variables the regression coefficient bYX = 2.5. Which of these can be the value of bXY?
Chapter 3: Linear Regression
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Answer: C. 0.3
Since bXY · bYX = r² and r² ≤ 1, bXY ≤ 1/2.5 = 0.4; only 0.3 fits (r² = 0.75).The general long-term tendency of a time series to rise, fall or stay steady over a long period is called:
Chapter 4: Time Series
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Answer: A. secular trend
The long-term movement of a time series is its secular trend; the other components are short-term or periodic.For a group of commodities, the total of base-year prices is ₹200 and the total of current-year prices is ₹250. By the simple aggregate method, the price index number is:
Chapter 5: Index Numbers
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Answer: D. 125
P₀₁ = (Σp₁/Σp₀) × 100 = (250/200) × 100 = 125.Which point lies in the feasible region given by 2x + 3y ≤ 12, x ≥ 0, y ≥ 0?
Chapter 6: Linear Programming
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Answer: B. (3, 2)
At (3, 2): 2(3) + 3(2) = 12 ≤ 12 and both coordinates are non-negative; (4, 2) and (6, 1) give 14 and 15, and (−1, 2) has x < 0.The textbook solves an assignment problem by which method?
Chapter 7: Assignment Problem and Sequencing
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Answer: C. Hungarian method
Assignment problems are solved by the Hungarian method.A discrete random variable X takes values 1, 2, 3 with probabilities 0.2, 0.5 and 0.3. What is E(X)?
Chapter 8: Probability Distributions
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Answer: B. 2.1
E(X) = Σxᵢpᵢ = 1(0.2) + 2(0.5) + 3(0.3) = 0.2 + 1 + 0.9 = 2.1.X follows a binomial distribution with n = 10 and p = 0.4. What is the mean E(X)?
Chapter 8: Probability Distributions
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Answer: A. 4
For a binomial distribution, mean = np = 10 × 0.4 = 4 (2.4 is the variance npq).
Class 12: MCQ in other subjects
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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.