Class 10 Mathematics Part 1 (Algebra) – Daily Revision MCQ (English Medium)
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What is the value of the determinant |5 2; 3 4| (first row 5, 2; second row 3, 4)?
Chapter 1: Linear Equations in Two Variables
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Answer: B. 14
Value = (5 × 4) − (2 × 3) = 20 − 6 = 14: product of the diagonal minus product of the other diagonal.In Cramer's method for a₁x + b₁y = c₁ and a₂x + b₂y = c₂, how is x found?
Chapter 1: Linear Equations in Two Variables
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Answer: A. x = Dx/D
Cramer's rule gives x = Dx/D and y = Dy/D, where D = a₁b₂ − a₂b₁ ≠ 0.What is the nature of the roots of the quadratic equation x² − 6x + 9 = 0?
Chapter 2: Quadratic Equations
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Answer: C. Real and equal
Discriminant b² − 4ac = 36 − 36 = 0; when it is 0 the roots are real and equal.If α and β are the roots of 3x² − 12x + 5 = 0, what is α + β?
Chapter 2: Quadratic Equations
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Answer: D. 4
α + β = −b/a = −(−12)/3 = 4 (5/3 is the product αβ = c/a).What is the 12th term of the A.P. 4, 9, 14, 19, …?
Chapter 3: Arithmetic Progression
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Answer: B. 59
a = 4, d = 5; t₁₂ = a + (12 − 1)d = 4 + 11 × 5 = 59.What is the sum of the first 10 terms of the A.P. 2, 5, 8, 11, …?
Chapter 3: Arithmetic Progression
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Answer: A. 155
Sₙ = n/2 [2a + (n − 1)d] = 10/2 [4 + 9 × 3] = 5 × 31 = 155 (29 is only the 10th term).A tax invoice shows GST at 18% on an item, charged as CGST and SGST. What are the CGST and SGST rates?
Chapter 4: Financial Planning
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Answer: D. 9% and 9%
GST = CGST + SGST, and the CGST and SGST rates are always equal, so each is 18% ÷ 2 = 9%.On which value of a share is the dividend always calculated?
Chapter 4: Financial Planning
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Answer: C. Face value
Whatever the market value, dividend is always reckoned on the face value of the share.A die is rolled once. What is the probability of getting a prime number?
Chapter 5: Probability
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Answer: B. 1/2
S = {1, 2, 3, 4, 5, 6}, n(S) = 6; prime numbers 2, 3, 5 give n(A) = 3; P(A) = 3/6 = 1/2.In a pie diagram of 60 students, 15 students like kabaddi. What is the central angle of the kabaddi sector?
Chapter 6: Statistics
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Answer: C. 90°
Central angle = (component ÷ total) × 360° = (15 ÷ 60) × 360° = 90°.
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.