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Day 158: CDS Maths

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

  1. Question 1

    Time, Speed and Distance. Asked once: CDS 1 2018 (same type asked 5 times) See all 5 of this type

    48
    A car has an average speed of 60 km per hour while going from Delhi to Agra and has an average speed of yy km per hour while returning to Delhi from Agra (by travelling the same distance). If the average speed of the car for the whole journey is 48 km per hour, then what is the value of yy?

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  2. Question 2

    Time, Speed and Distance. Asked once: CDS 2 2021 (same type asked 5 times) See all 5 of this type

    33
    A motor boat has speed 30 km/hr in still water. It goes 60 km down stream and comes back in 92\frac{9}{2} hours. What is the speed of the stream ?

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  3. Question 3

    Time, Speed and Distance. Asked once: CDS 1 2022 (same type asked 5 times) See all 5 of this type

    28
    A car takes pp minutes to travel a distance of 350 km with an average speed of uu km/hr. Another car takes qq minutes to travel the same distance with an average speed of vv km/hr. If u−v=5u - v = 5 and q−p=140q - p = 140, then what is the value of uu ?

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  4. Question 4

    Triangles. Asked once: CDS 1 2025 (same type asked 5 times) See all 5 of this type

    14
    In a triangle ABC, AB = 2 cm, BC = 4 cm and AC = 3 cm. The bisector of angle A meets BC at D and the bisector of angle B meets AD at E. What is AE : ED equal to ?

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: CDS 1 2020 (same type asked 5 times) See all 5 of this type

    54
    If tan⁡6θ=cot⁡2θ\tan 6\theta = \cot 2\theta, where 0<6θ<π20 < 6\theta < \frac{\pi}{2}, then what is the value of sec⁡4θ\sec 4\theta?

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