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Day 50: CDS Maths

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

  1. Question 1

    Quadratic Equations. Asked 2 times: CDS 1 2021*, CDS 2 2024 (* = numbers or wording changed that year) See all 2 times it was asked

    38
    If the roots of the equation x2−(k−2)x+(k+1)=0x^2 - (k - 2)x + (k + 1) = 0 are equal, then what are the values of kk ?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked 2 times: CDS 2 2021, CDS 2 2024 See all 2 times it was asked

    40
    What is sin⁡θ−2sin⁡3θ2cos⁡3θ−cos⁡θ\dfrac{\sin\theta - 2\sin^3\theta}{2\cos^3\theta - \cos\theta} equal to ?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked 2 times: CDS 1 2022, CDS 2 2024 See all 2 times it was asked

    12
    What is (1+tan⁡α tan⁡β)2+(tan⁡α−tan⁡β)2(1 + \tan\alpha\,\tan\beta)^2 + (\tan\alpha - \tan\beta)^2 equal to ?

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  4. Question 4

    Number System. Asked 2 times: CDS 1 2023*, CDS 1 2024 (* = numbers or wording changed that year) See all 2 times it was asked

    22
    A plank of wood 4.25 m long and 3.4 m wide is to be cut into square pieces of equal size. How many square pieces of largest size can be cut from the plank, if no wastage is allowed ?

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  5. Question 5

    Percentage, Profit and Loss. Asked 2 times: CDS 1 2021*, CDS 1 2024 (* = numbers or wording changed that year) See all 2 times it was asked

    43
    The cost price of y articles is equal to selling price of z articles. If y : z = 5 : 4, what is the profit percentage ?

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