PYQ Vault

Day 180: CBSE Class 10 Maths

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

  1. Question 1

    Introduction to Trigonometry. Asked once: 2024 (same type asked 4 times)

    22
    Evaluate : 5tan⁡60∘(sin⁡260∘+cos⁡260∘)tan⁡30∘\dfrac{5\tan 60^\circ}{(\sin^2 60^\circ + \cos^2 60^\circ)\tan 30^\circ}

  2. Question 2

    Introduction to Trigonometry. Asked once: 2024 (same type asked 4 times)

    26
    Prove that : tan⁡θ−cot⁡θsin⁡θcos⁡θ=sec⁡2θ−cosec⁡2θ\dfrac{\tan\theta - \cot\theta}{\sin\theta \cos\theta} = \sec^2\theta - \operatorname{cosec}^2\theta

  3. Question 3

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

    9
    Letters A to F are mentioned on six faces of a die such that each face has a different letter. Two such dice are thrown simultaneously. The probability that vowels turn up on both the dice is :

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  4. Question 4

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

    33
    The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the mean and mode of the data :
    Monthly Consumption (in units)Number of Consumers
    65 – 854
    85 – 1055
    105 – 12513
    125 – 14520
    145 – 16514
    165 – 1858
    185 – 2054

  5. Question 5

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

    10
    In the given figure, DE ∥\parallel BC. If AD = 3 cm, AB = 7 cm and EC = 3 cm, then the length of AE is

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