PYQ Vault

Day 133: CBSE Class 10 Maths

5 questions (8 parts). Try each one first, then open its answer.

  1. Question 1 (case study, 4 parts)

    Probability. Asked once: 2023 (same type asked 3 times)

    “Eight Ball” is a game played on a pool table with 15 balls numbered 1 to 15 and a “cue ball” that is solid and white. Of the 15 numbered balls, eight are solid (non-white) coloured and numbered 1 to 8 and seven are striped balls numbered 9 to 15. The 15 numbered pool balls (no cue ball) are placed in a large bowl and mixed, then one ball is drawn out at random. Based on the above information, answer the following questions :
    38 (i)
    What is the probability that the drawn ball bears number 8 ?
    38 (ii) (a)
    What is the probability that the drawn ball bears an even number ?
    38 (ii) (b)
    What is the probability that the drawn ball bears a number, which is a multiple of 3 ?
    38 (iii)
    What is the probability that the drawn ball is a solid coloured and bears an even number ?
  2. Question 2

    Quadratic Equations. Asked once: 2025 (same type asked 3 times)

    5
    Which of the following quadratic equations has real and distinct roots ?

    Tap an option to check your answer.

  3. Question 3

    Some Applications of Trigonometry. Asked once: 2023 (same type asked 3 times)

    34
    The angle of elevation of the top of a vertical tower from a point P on the ground is 60∘60^\circ. From another point Q, 10 m vertically above the first point P, its angle of elevation is 30∘30^\circ. Find : (a) The height of the tower. (b) The distance of the point P from the foot of the tower. (c) The distance of the point P from the top of the tower.
  4. Question 4

    Surface Areas and Volumes. Asked once: 2022 (same type asked 3 times)

    11 (b)
    Water in a canal, 8 m wide and 6 m deep, is flowing with a speed of 12 km/hour. How much area will it irrigate in one hour, if 0⋅050{\cdot}05 m of standing water is required ?
  5. Question 5

    Arithmetic Progressions. Asked once: 2023 (same type asked 3 times)

    26 (B)
    Which term of the A.P. : 65, 61, 57, 53, ................. is the first negative term ?