PYQ Vault

Day 94: CBSE Class 10 Maths

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

  1. Question 1

    Surface Areas and Volumes. Asked once: 2025 (same type asked 2 times)

    11
    On the top face of the wooden cube of side 7 cm, hemispherical depressions of radius 0.35 cm are to be formed by taking out the wood. The maximum number of depressions that can be formed is :

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  2. Question 2

    Introduction to Trigonometry. Asked once: 2024 (same type asked 2 times)

    8
    If cos⁡θ=32\cos\theta = \dfrac{\sqrt{3}}{2} and sin⁡ϕ=12\sin\phi = \dfrac{1}{2}, then tan⁡(θ+ϕ)\tan(\theta + \phi) is :

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  3. Question 3

    Pair of Linear Equations in Two Variables. Asked once: 2024 (same type asked 2 times)

    1
    If ax+by=a2−b2ax + by = a^2 - b^2 and bx+ay=0bx + ay = 0, then the value of x+yx + y is :

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  4. Question 4

    Pair of Linear Equations in Two Variables. Asked once: 2024 (same type asked 2 times)

    35 (b)
    If three times the greater of two numbers is divided by the smaller one, we get 4 as the quotient and 3 as the remainder. Also, if seven times the smaller number is divided by greater one, we get 5 as the quotient and 1 as the remainder. Find the numbers.
  5. Question 5

    Quadratic Equations. Asked once: 2022 (same type asked 2 times)

    5
    The product of Rehan’s age (in years) 5 years ago and his age 7 years from now, is one more than twice his present age. Find his present age.