PYQ Vault

Day 149: 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)

    Computer-based learning (CBL) refers to any teaching methodology that makes use of computers for information transmission. At an elementary school level, computer applications can be used to display multimedia lesson plans. A survey was done on 1000 elementary and secondary schools of Assam and they were classified by the number of computers they had.
    Number of ComputersNumber of Schools
    1 – 10250
    11 – 20200
    21 – 50290
    51 – 100180
    101 and more80
    One school is chosen at random. Then :
    38 (i)
    Find the probability that the school chosen at random has more than 100 computers.
    38 (ii) (a)
    Find the probability that the school chosen at random has 50 or fewer computers.
    38 (ii) (b)
    Find the probability that the school chosen at random has no more than 20 computers.
    38 (iii)
    Find the probability that the school chosen at random has 10 or less than 10 computers.

  2. Question 2

    Quadratic Equations. Asked once: 2024 (same type asked 3 times)

    8
    The roots of the quadratic equation 4x2−5x+4=04x^2 - 5x + 4 = 0 are

    Tap an option to check your answer.

  3. Question 3

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

    32
    One observer estimates the angle of elevation to the basket of a hot air balloon to be 60∘60^\circ, while another observer 100 m away estimates the angle of elevation to be 30∘30^\circ. Find : (a) The height of the basket from the ground. (b) The distance of the basket from the first observer's eye. (c) The horizontal distance of the second observer from the basket.

  4. Question 4

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

    26 (A)
    How many terms are there in an A.P. whose first and fifth terms are −14-14 and 2, respectively and the last term is 62.

  5. Question 5

    Quadratic Equations. Asked once: 2022 (same type asked 3 times)

    3 (b)
    If x=−2x = -2 is the common solution of quadratic equations ax2+x−3a=0ax^2 + x - 3a = 0 and x2+bx+b=0x^2 + bx + b = 0, then find the value of a2ba^2b.