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Day 31: CDS Maths

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

  1. Question 1

    Statistics. This type asked 3 times: CDS 1 2023, CDS 2 2024, CDS 2 2026. This one: CDS 2 2026 See all 3 of this type

    96
    Consider the following grouped data :
    ClassFrequency
    0 - 104
    10 - 208
    20 - 3015
    30 - 4010
    40 - 503
    What is the mode of the above distribution ?

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  2. Question 2

    Statistics. This type asked 3 times: CDS 1 2023, CDS 2 2025, CDS 2 2026. This one: CDS 2 2026 See all 3 of this type

    98
    Consider the following discrete grouped data :
    xf
    126
    148
    1010
    169
    183
    What is the arithmetic mean of the above distribution ?

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  3. Question 3

    Surds, Indices and Simplification. This type asked 3 times: CDS 2 2018, CDS 2 2025, CDS 2 2026. This one: CDS 2 2025 See all 3 of this type

    23
    If x=2+21/2+23/2x=2+2^{1/2}+2^{3/2}, then what is x2−4x−10x^2-4x-10 equal to?

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  4. Question 4

    Triangles. This type asked 3 times: CDS 2 2017, CDS 1 2021, CDS 2 2026. This one: CDS 2 2026 See all 3 of this type

    70
    In a triangle ABC, AB = 8 cm and D and E are points on AB and AC respectively such that DE is parallel to BC. If BC = 5DE, then what is AD ×\times BD equal to ?

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  5. Question 5

    Trigonometric Ratios and Identities. This type asked 3 times: CDS 2 2022, CDS 1 2026, CDS 2 2026. This one: CDS 2 2026 See all 3 of this type

    46
    If 5sin⁡θ+12cos⁡θ=135\sin\theta + 12\cos\theta = 13, where 0<θ<π20 < \theta < \frac{\pi}{2}, then what is tan⁡θ+cot⁡θ\tan\theta + \cot\theta equal to ?

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