PYQ Vault

Day 126: CBSE Class 10 Maths

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

  1. Question 1

    Triangles. Asked once: 2025 (same type asked 4 times)

    8
    In the given figure, PQ∥BCPQ \parallel BC. If APPB=413\dfrac{AP}{PB} = \dfrac{4}{13} and AC = 20⋅420{\cdot}4 cm, then the length of AQ is :

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  2. Question 2

    Triangles. Asked once: 2023 (same type asked 4 times)

    24
    In the given figure, ABCD is a parallelogram. AE divides the line segment BD in the ratio 1 : 2. If BE = 1.5 cm, then find the length of BC.

  3. Question 3

    Quadratic Equations. Asked once: 2024 (same type asked 4 times)

    32 (a)
    Find the value of ‘k’ for which the quadratic equation (k+1)x2−6(k+1)x+3(k+9)=0(k + 1)x^2 - 6(k + 1)x + 3(k + 9) = 0, k≠−1k \neq -1 has real and equal roots.

  4. Question 4

    Statistics. Asked once: 2023 (same type asked 4 times)

    11
    The distribution below gives the marks obtained by 80 students on a test :
    MarksLess than 10Less than 20Less than 30Less than 40Less than 50Less than 60
    Number of Students31227577580
    The modal class of this distribution is :

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  5. Question 5 (case study, 4 parts)

    Statistics. Asked once: 2024 (same type asked 4 times)

    Vocational training complements traditional education by providing practical skills and hands-on experience. While education equips individuals with a broad knowledge base, vocational training focuses on job-specific skills, enhancing employability thus making the student self-reliant. Keeping this in view, a teacher made the following table giving the frequency distribution of students/adults undergoing vocational training from the training institute.
    Age (in years)15-1920-2425-2930-3435-3940-4445-4950-54
    Number of participants6213296371311104
    From the above answer the following questions :
    37 (i)
    What is the lower limit of the modal class of the above data ?
    37 (ii) (a)
    Find the median class of the above data.
    37 (ii) (b)
    Find the number of participants of age less than 50 years who undergo vocational training.
    37 (iii)
    Give the empirical relationship between mean, median and mode.