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Day 9: CDS Maths

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

  1. Question 1

    Time, Speed and Distance. This type asked 5 times: CDS 2 2016, CDS 2 2017, CDS 2 2021, CDS 1 2023, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type

    24
    A boatman can row to a place (Y) at a distance of 24 km from the starting point (X) and back in 14 hours. If he can row 4 km with the stream in the same time as 3 km against it, what is the speed of the stream ?

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  2. Question 2

    Time, Speed and Distance. This type asked 5 times: CDS 1 2020, CDS 2 2020, CDS 1 2022, CDS 2 2022, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type

    14
    Had I walked 0.5 km/hr faster, I would have taken 8 minutes less to walk 2 km. What is my original speed ?

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  3. Question 3

    Triangles. This type asked 5 times: CDS 2 2020, CDS 1 2022, CDS 1 2025, CDS 1 2026, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type

    74
    In a triangle ABC, AD is the bisector of angle A that meets BC at D. If AB = 21 cm, DC = 20 cm and AB : AC = 3 : 4, then what is AC2−BD2AC^2 - BD^2 equal to ?

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  4. Question 4

    Triangles. This type asked 5 times: CDS 2 2018, CDS 1 2021, CDS 1 2022, CDS 2 2022, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type

    63
    A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : ABC is a triangle right-angled at A and AD is perpendicular to BC. If AD = 7.2 cm, then what is BD ×\times CD equal to ? Statement I : AB : AC = 3 : 4. Statement II : BC = 15 cm. Which one of the following is correct in respect of the above Question and Statements ?

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  5. Question 5

    Trigonometric Ratios and Identities. This type asked 5 times: CDS 1 2020, CDS 2 2023, CDS 1 2024, CDS 1 2025, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type

    36
    If tan⁡6θ⋅tan⁡3θ=1\tan 6\theta \cdot \tan 3\theta = 1, where 0<θ<30∘0 < \theta < 30^\circ, then what is θ\theta equal to ?

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