PYQ Vault

Day 15: CBSE Class 10 Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Polynomials. Asked 2 times: 2024*, 2026 (* = numbers or wording changed that year)

    11
    If sum and product of zeroes of a polynomial are (−3)(-3) and (−2)(-2) respectively, then a polynomial is

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  2. Question 2

    Polynomials. Asked 2 times: 2024*, 2026 (* = numbers or wording changed that year)

    25
    α\alpha and β\beta are the zeroes of the polynomial 5x2−16x−105x^2 - 16x - 10. Find the value of αβ+βα\dfrac{\alpha}{\beta} + \dfrac{\beta}{\alpha}.

  3. Question 3

    Polynomials. Asked 2 times: 2023*, 2026 (* = numbers or wording changed that year)

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    20
    Assertion (A) : The polynomial p(y)=y2+4y+3p(y) = y^2 + 4y + 3 has two zeroes. Reason (R) : A quadratic polynomial can have at most two zeroes.

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  4. Question 4

    Probability. Asked 2 times: 2023*, 2026 (* = numbers or wording changed that year)

    16
    Meena calculates that the probability of her winning the first prize in a lottery is 0.08. If total 800 tickets were sold, the number of tickets bought by her, is

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  5. Question 5

    Probability. Asked 2 times: 2023*, 2026 (* = numbers or wording changed that year)

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    19
    Assertion (A) : The probability that a leap year has 53 Mondays is 27\dfrac{2}{7}. Reason (R) : The probability that a non-leap year has 53 Mondays is 57\dfrac{5}{7}.

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