PYQ Vault

Day 161: CBSE Class 10 Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Coordinate Geometry. Asked once: 2023 (same type asked 2 times)

    1
    The distance between the points (0,5)(0, 5) and (−3,1)(-3, 1) is :

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  2. Question 2

    Polynomials. Asked once: 2025 (same type asked 2 times)

    31
    Find the zeroes of the polynomial r(x)=4x2+3x−1r(x) = 4x^2 + 3x - 1. Hence, write a polynomial whose zeroes are reciprocal of the zeroes of polynomial r(x)r(x).

  3. Question 3

    Real Numbers. Asked once: 2024 (same type asked 2 times)

    5
    If two positive integers p and q can be expressed as p=18 a2b4p = 18\,a^2b^4 and q=20 a3b2q = 20\,a^3b^2, where a and b are prime numbers, then LCM (p,q)(p, q) is :

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  4. Question 4

    Circles. Asked once: 2023 (same type asked 5 times)

    5
    In the given figure, PQ is tangent to the circle centred at O. If ∠AOB=95∘\angle AOB = 95^\circ, then the measure of ∠ABQ\angle ABQ will be

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  5. Question 5 (case study, 2 parts)

    Surface Areas and Volumes. Asked once: 2022 (same type asked 5 times)

    John planned a birthday party for his younger sister with his friends. They decided to make some birthday caps by themselves and to buy a cake from a bakery shop. For these two items, they decided the following dimensions : Cake : Cylindrical shape with diameter 24 cm and height 14 cm. Cap : Conical shape with base circumference 44 cm and height 24 cm. Based on the above information, answer the following questions :
    14 (a)
    How many square cm paper would be used to make 4 such caps ?
    14 (b)
    The bakery shop sells cakes by weight (0⋅50{\cdot}5 kg, 1 kg, 1⋅51{\cdot}5 kg, etc.). To have the required dimensions, how much cake should they order, if 650 cm3\text{cm}^3 equals 100 g of cake ?