Class 10 Mathematics Part 1 (Algebra) – Daily Revision MCQ (English Medium)
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The sum of two numbers is 30 and their difference is 6. What is the larger number?
Chapter 1: Linear Equations in Two Variables
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Answer: C. 18
x + y = 30 and x − y = 6; adding gives 2x = 36, so x = 18 (the smaller is 12).For the equations 2x + 3y = 7 and 3x − y = 5, what is the value of D in Cramer's method?
Chapter 1: Linear Equations in Two Variables
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Answer: A. −11
D = a₁b₂ − a₂b₁ = 2 × (−1) − 3 × 3 = −2 − 9 = −11.For which value of k is x = 2 a root of x² − kx + 6 = 0?
Chapter 2: Quadratic Equations
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Answer: D. 5
Putting x = 2: 4 − 2k + 6 = 0, so 2k = 10 and k = 5.If α and β are the roots of 2x² + 7x − 4 = 0, what is αβ?
Chapter 2: Quadratic Equations
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Answer: B. −2
Product of roots αβ = c/a = −4/2 = −2.For a grouped frequency table, Σfᵢ = 20 and Σfᵢxᵢ = 500. What is the mean by the direct method?
Chapter 6: Statistics
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Answer: D. 25
Mean X̄ = Σfᵢxᵢ / Σfᵢ = 500 / 20 = 25.The nth term of an A.P. is tₙ = 4n + 3. What is its common difference?
Chapter 3: Arithmetic Progression
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Answer: B. 4
t₁ = 7 and t₂ = 11, so d = t₂ − t₁ = 4.If 7, x, 19 are three consecutive terms of an A.P., what is x?
Chapter 3: Arithmetic Progression
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Answer: A. 13
x − 7 = 19 − x, so 2x = 26 and x = 13.When the market value (MV) of a share is more than its face value (FV), the share is said to be:
Chapter 4: Financial Planning
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Answer: D. at premium
If MV > FV the share is at premium; MV = FV is at par and MV < FV is at discount.A broker charges 0.5% brokerage. What is the brokerage on buying shares of total market value ₹20,000?
Chapter 4: Financial Planning
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Answer: B. ₹100
Brokerage = 0.5% of ₹20,000 = 20000 × 0.5 / 100 = ₹100.A die is rolled twice. How many outcomes are there in the sample space, n(S)?
Chapter 5: Probability
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Answer: C. 36
Each roll has 6 outcomes, so two rolls give 6 × 6 = 36 ordered pairs.
Class 10: 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.