PYQ Vault

Day 98: CDS Maths

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

  1. Question 1

    Mensuration 2D. Asked once: CDS 1 2023 (same type asked 5 times) See all 5 of this type

    90
    The perimeter of a sector of a circle of radius 5.2 cm is 16.4 cm. What is the area of the sector ?

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  2. Question 2

    Mensuration 3D. Asked once: CDS 2 2021 (same type asked 5 times) See all 5 of this type

    73
    A tub is in the shape of a frustum of a cone. The radii of two circular ends of the tub are 105 cm and 42 cm. If the vertical height of the tub is 16 cm, what is its slant height ?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: CDS 2 2024 (same type asked 5 times) See all 5 of this type

    13
    Consider the following statements : I. tan⁡50∘−cot⁡50∘\tan 50^\circ - \cot 50^\circ is positive II. cot⁡25∘−tan⁡25∘\cot 25^\circ - \tan 25^\circ is negative Which of the statements is/are correct ?

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: CDS 2 2023 (same type asked 5 times) See all 5 of this type

    6
    For what relation between a and b is the equation sin⁡θ=a+b2ab\sin \theta = \dfrac{a + b}{2\sqrt{ab}} possible ?

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  5. Question 5

    Simple and Compound Interest. Asked once: CDS 1 2024 (same type asked 5 times) See all 5 of this type

    4
    If the rate of interest is 5%, then what would be the difference between compound interest and simple interest received on Rs. 10,000 (each) after 3 years from now ?

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