Class 10 Mathematics Part 1 (Algebra) – Daily Revision MCQ (English Medium)

📅 27 October 2026 · 10 questions · from the Balbharati textbook

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1. Solve the simultaneous equations x + y = 7 and x − y = 3.

   Chapter 1: Linear Equations in Two Variables

   • Ax = 2, y = 5
   • Bx = 4, y = 3
   • Cx = 5, y = 2
   • Dx = 3, y = 4
   Show answer

   Answer: C. x = 5, y = 2
   Adding the equations gives 2x = 10, so x = 5; then y = 7 − 5 = 2.

2. What is the graph of a linear equation in two variables?

   Chapter 1: Linear Equations in Two Variables

   • AA straight line
   • BA circle
   • CA parabola
   • DA pair of lines
   Show answer

   Answer: A. A straight line
   A linear equation in two variables (ax + by + c = 0) always gives a straight line when drawn on a graph.

3. What are the roots of the quadratic equation x² − 5x + 6 = 0?

   Chapter 2: Quadratic Equations

   • A−2 and −3
   • B2 and 3
   • C1 and 6
   • D−1 and 6
   Show answer

   Answer: B. 2 and 3
   x² − 5x + 6 = (x − 2)(x − 3) = 0, so x = 2 or x = 3.

4. What is the value of the discriminant (Δ) of 2x² − 3x − 5 = 0?

   Chapter 2: Quadratic Equations

   • A−31
   • B31
   • C1
   • D49
   Show answer

   Answer: D. 49
   Δ = b² − 4ac = (−3)² − 4 × 2 × (−5) = 9 + 40 = 49.

5. What is the common difference of the A.P. 10, 7, 4, 1, …?

   Chapter 3: Arithmetic Progression

   • A−3
   • B3
   • C10
   • D−7
   Show answer

   Answer: A. −3
   d = t₂ − t₁ = 7 − 10 = −3; each term is 3 less than the one before it.

6. Which term of the A.P. 3, 7, 11, 15, … is 43?

   Chapter 3: Arithmetic Progression

   • A9th
   • B10th
   • C11th
   • D12th
   Show answer

   Answer: C. 11th
   a = 3, d = 4: 3 + (n − 1) × 4 = 43 gives n − 1 = 10, so n = 11.

7. A company declares a 20% dividend on shares of face value ₹10. What is the total dividend on 50 shares?

   Chapter 4: Financial Planning

   • A₹10
   • B₹100
   • C₹200
   • D₹1000
   Show answer

   Answer: B. ₹100
   Dividend per share = 20% of ₹10 = ₹2; for 50 shares = 50 × ₹2 = ₹100.

8. A trader paid ₹600 GST on purchases and collected ₹900 GST on sales. Using input tax credit, how much GST must he pay to the government?

   Chapter 4: Financial Planning

   • A₹1500
   • B₹900
   • C₹600
   • D₹300
   Show answer

   Answer: D. ₹300
   GST payable = GST collected on sales − input tax credit = ₹900 − ₹600 = ₹300.

9. Two coins are tossed together. What is the probability of getting at least one head?

   Chapter 5: Probability

   • A1/4
   • B1/2
   • C3/4
   • D1
   Show answer

   Answer: C. 3/4
   S = {HH, HT, TH, TT}, n(S) = 4; at least one head = {HH, HT, TH}, so P = 3/4.

10. In the formula Mode = L + [(f₁ − f₀) / (2f₁ − f₀ − f₂)] × h, what does f₁ stand for?

    Chapter 6: Statistics

    • AFrequency of the class before the modal class
    • BFrequency of the modal class
    • CFrequency of the class after the modal class
    • DTotal of all the frequencies
    Show answer

    Answer: B. Frequency of the modal class
    In the mode formula, f₁ is the frequency of the modal class; f₀ and f₂ are the frequencies of the classes just before and just after it.

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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.