PYQ Vault

Day 6: MH SSC Class 10 Algebra

5 questions. Try each one first, then open its answer.

  1. Question 1

    Arithmetic Progression. Asked 2 times: Mar 2023, Jul 2025

    Q5(ii)
    If first term of an A.P. is 'p', second term is 'q' and last term is 'r', then show that the sum of all terms is (p+r)(q+r−2p)2(q−p)\dfrac{(p + r)(q + r - 2p)}{2(q - p)}.
  2. Question 2

    Financial Planning. Asked 2 times: Mar 2023, Jul 2025

    Q2(A)(ii)
    Courier service agent charged total ₹590 to courier a parcel from Nashik to Nagpur. In the tax invoice taxable value is ₹500 on which CGST is ₹45 and SGST is ₹45. Complete the following activity to find the rate of GST charged for this service.
  3. Question 3

    Financial Planning. Asked 2 times: Jul 2024*, Jul 2025 (* = numbers or wording changed that year)

    Q1(B)(iii)
    Face value of one share is ₹100 and premium is ₹10. Find the market value of the share.
  4. Question 4

    Probability. Asked 2 times: Mar 2018*, Jul 2025 (* = numbers or wording changed that year)

    Q4(ii)
    Two dice are thrown. Find the probability of the following events: (a) Event A: The sum of the numbers on their upper faces is at least 9. (b) Event B: The sum of the numbers on their upper faces is divisible by 5. (c) Event C: The number on the upper face of the first die is greater than the number on the upper face of the second die.
  5. Question 5

    Quadratic Equations. Asked 2 times: Mar 2020, Jul 2025

    Q2(B)(ii)
    Solve the following quadratic equation by factorisation method: x2−15x+54=0x^2 - 15x + 54 = 0.