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Day 110: CDS Maths

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

  1. Question 1

    Mensuration 3D. Asked once: CDS 2 2021 (same type asked 4 times) See all 4 of this type

    67
    A hemispherical bowl of internal radius 18 cm contains a liquid. The liquid is filled in small cylindrical bottles of internal radius 3 cm and internal height 4 cm. What is the number of bottles used to empty the bowl ?

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  2. Question 2

    Time, Speed and Distance. Asked once: CDS 2 2019 (same type asked 4 times) See all 4 of this type

    31
    A race has three parts. The speed and time required to complete the individual parts for a runner is displayed on the following chart :
    Part IPart IIPart III
    Speed (kmph)987.5
    Time (minutes)5080100
    What is the average speed of this runner ?

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  3. Question 3

    Time, Speed and Distance. Asked once: CDS 2 2020 (same type asked 4 times) See all 4 of this type

    15
    A train of length 110 m is moving at a uniform speed of 132 km/hr. The time required to cross a bridge of length 165 m is

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  4. Question 4

    Percentage, Profit and Loss. Asked once: CDS 2 2019 (same type asked 4 times) See all 4 of this type

    10
    In a hostel the rent per room is increased by 20%. If number of rooms in the hostel is also increased by 20% and the hostel is always full, then what is the percentage change in the total collection at the cash counter ?

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: CDS 1 2018 (same type asked 4 times) See all 4 of this type

    55
    What is cot⁡1∘cot⁡23∘cot⁡45∘cot⁡67∘cot⁡89∘\cot 1^\circ \cot 23^\circ \cot 45^\circ \cot 67^\circ \cot 89^\circ equal to ?

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