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Day 83: CDS Maths

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

  1. Question 1

    Trigonometric Ratios and Identities. This type asked 2 times: CDS 2 2019, CDS 1 2020. This one: CDS 1 2020 See all 2 of this type

    58
    What is the value of sin⁡26∘+sin⁡212∘+sin⁡218∘+…+sin⁡284∘+sin⁡290∘\sin^2 6^\circ + \sin^2 12^\circ + \sin^2 18^\circ + \ldots + \sin^2 84^\circ + \sin^2 90^\circ?

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  2. Question 2

    Trigonometric Ratios and Identities. This type asked 2 times: CDS 1 2017, CDS 1 2020. This one: CDS 1 2020 See all 2 of this type

    59
    What is cos⁡θ1+sin⁡θ+1cot⁡θ\frac{\cos\theta}{1 + \sin\theta} + \frac{1}{\cot\theta} equal to?

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  3. Question 3

    Mensuration 2D. This type asked 2 times: CDS 1 2017, CDS 2 2019. This one: CDS 2 2019 See all 2 of this type

    72
    What is the percentage decrease in the area of a triangle if its each side is halved ?

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  4. Question 4

    Polynomials. This type asked 2 times: CDS 1 2018, CDS 2 2019. This one: CDS 2 2019 See all 2 of this type

    39
    Given that the polynomial (x2+ax+b)(x^2 + ax + b) leaves the same remainder when divided by (x−1)(x - 1) or (x+1)(x + 1). What are the values of a and b respectively ?

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  5. Question 5

    Statistics. This type asked 2 times: CDS 2 2017, CDS 2 2019. This one: CDS 2 2019 See all 2 of this type

    66
    The data collected from which one of the following methods is not a primary data ?

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