PYQ Vault

Day 110: CBSE Class 10 Maths

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

  1. Question 1

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

    3 (a)
    If the sum of the roots of the quadratic equation ky2−11y+(k−23)=0ky^2 - 11y + (k - 23) = 0 is 1321\dfrac{13}{21} more than the product of the roots, then find the value of k.

  2. Question 2

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

    22
    Find the zeroes of the polynomial p(x)=x2+43x−43p(x) = x^2 + \dfrac{4}{3}x - \dfrac{4}{3}.

  3. Question 3

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

    18
    What should be subtracted from the polynomial x2−16x+30x^2 - 16x + 30, so that 15 is the zero of the resulting polynomial ?

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  4. Question 4

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

    16
    A bag contains red coloured, blue coloured and green coloured balls in the ratio 2 : 3 : 4. A ball is drawn at random from the given bag. The probability that the ball so drawn being not of blue colour is

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  5. Question 5 (case study, 4 parts)

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

    A middle school decided to run the following spinner game as a fund-raiser on Christmas Carnival. Making Purple : Spin each spinner once. Blue and red make purple. So, if one spinner shows Red (R) and another Blue (B), then you 'win'. One such outcome is written as 'RB'. Based on the above, answer the following questions :
    37 (i)
    List all possible outcomes of the game.
    37 (ii)
    Find the probability of 'Making Purple'.
    37 (iii) (a)
    For each win, a participant gets ₹ 10, but if he/she loses, he/she has to pay ₹ 5 to the school. If 99 participants played, calculate how much fund could the school have collected.
    37 (iii) (b)
    If the same amount of ₹ 5 has been decided for winning or losing the game, then how much fund had been collected by school ? (Number of participants = 99)