PYQ Vault

Day 53: CBSE Class 10 Maths

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

  1. Question 1

    Surface Areas and Volumes. This type asked 3 times: 2022, 2023, 2025. This one: 2025

    34 (b)
    From a solid cylinder of height 24 cm and radius 5 cm, two cones of height 12 cm and radius 5 cm are hollowed out. Find the volume and surface area of the remaining solid.

  2. Question 2

    Surface Areas and Volumes. This type asked 3 times: 2022, 2023, 2025. This one: 2025

    35
    A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0⋅50{\cdot}5 cm, are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.

  3. Question 3

    Arithmetic Progressions. This type asked 3 times: 2022, 2023, 2024. This one: 2024

    16
    Which term of the A.P. −29,−26,−23,…,61-29, -26, -23, \ldots, 61 is 16 ?

    Tap an option to check your answer.

  4. Question 4

    Quadratic Equations. This type asked 3 times: 2022, 2023, 2024. This one: 2024

    13
    Value of k for which x=2x = 2 is a solution of the equation 5x2−4x+(2+k)=05x^2 - 4x + (2 + k) = 0, is

    Tap an option to check your answer.

  5. Question 5

    Statistics. This type asked 3 times: 2022, 2023, 2024. This one: 2024

    30
    In a test, the marks obtained by 100 students (out of 50) are given below :
    Marks obtained :0 – 1010 – 2020 – 3030 – 4040 – 50
    Number of students :122334256
    Find the mean marks of the students.