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Day 196: CDS Maths

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: CDS 2 2020 (same type asked 5 times) See all 5 of this type

    49
    Consider the following statements : 1. sin⁡θ=x+1x\sin\theta = x + \dfrac{1}{x} is possible for some real value of x. 2. cos⁡θ=x+1x\cos\theta = x + \dfrac{1}{x} is possible for some real value of x. Which of the above statements is/are correct ?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: CDS 2 2018 (same type asked 5 times) See all 5 of this type

    67
    Consider the following statements : 1. cos⁡θ+sec⁡θ\cos \theta + \sec \theta can never be equal to 1.5. 2. sec⁡2θ+cosec⁡2θ\sec^2 \theta + \operatorname{cosec}^2 \theta can never be less than 4. Which of the statements given above is/are correct ?

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  3. Question 3

    Mensuration 2D. Asked once: CDS 2 2018 (same type asked 5 times) See all 5 of this type

    82
    An equilateral triangle, a square and a circle have equal perimeter. If T, S and C denote the area of the triangle, area of the square and area of the circle respectively, then which one of the following is correct ?

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  4. Question 4

    Data Interpretation. Asked once: CDS 2 2016 (same type asked 4 times) See all 4 of this type

    93
    A pie chart depicts the classification of total funds of an organization according to different sources of funds. A particular sector of pie chart for corporate tax has 108∘108^\circ angle at the centre. What is the percentage of income from corporate tax to total funds ?

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  5. Question 5

    Heights and Distances. Asked once: CDS 1 2017 (same type asked 4 times) See all 4 of this type

    69
    From the top of a building 90 m high, the angles of depression of the top and the bottom of a tree are 30∘30^\circ and 45∘45^\circ respectively. What is the height of the tree ?

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