PYQ Vault

Day 195: CBSE Class 10 Maths

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

  1. Question 1

    Quadratic Equations. Asked once: 2025

    8
    Which of the following equations is a quadratic equation ?

    Tap an option to check your answer.

  2. Question 2

    Real Numbers. Asked once: 2026

    2
    The natural number 2 is :

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  3. Question 3 (case study, 4 parts)

    Some Applications of Trigonometry. Asked once: 2025

    Passenger boarding stairs, sometimes referred to as boarding ramps, stair cars or aircraft steps, provide a mobile means to travel between the aircraft doors and the ground. Larger aircraft have door sills 5 to 20 feet (1 foot = 30 cm) high. Stairs facilitate safe boarding and de-boarding. An aircraft has a door sill at a height of 15 feet above the ground. A stair car is placed at a horizontal distance of 15 feet from the plane. Based on given information, answer the questions given in part (i) and (ii).
    38 (i)
    Find the angle at which stairs are inclined to reach the door sill 15 feet high above the ground.
    38 (ii)
    Find the length of stairs used to reach the door sill.
    38 (iii) (a)
    If the 20 feet long stairs is inclined at an angle of 60∘60^\circ to reach the door sill, then find the height of the door sill above the ground. (use 3=1.732\sqrt{3} = 1.732)
    38 (iii) (b)
    What should be the shortest possible length of stairs to reach the door sill of the plane 20 feet above the ground, if the angle of elevation cannot exceed 30∘30^\circ ? Also, find the horizontal distance of base of stair car from the plane.

  4. Question 4

    Statistics. Asked once: 2024

    9
    For some data x1,x2,……xnx_1, x_2, \ldots\ldots x_n with respective frequencies f1,f2,……fnf_1, f_2, \ldots\ldots f_n, the value of ∑1nfi(xi−xˉ)\sum_{1}^{n} f_i\left(x_i - \bar{x}\right) is equal to :

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  5. Question 5

    Surface Areas and Volumes. Asked once: 2025

    34
    On the day of her examination, Riya sharpened her pencil from both ends as shown below : The diameter of the cylindrical and conical part of the pencil is 4.2 mm. If the height of each conical part is 2.8 mm and length of entire pencil is 105.6 mm, find the total surface area of the pencil.