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Day 182: CDS Maths

5 questions (9 parts). Try each one first, then open its answer.

  1. Question 1 (case study, 4 parts)

    Sets. Asked once: CDS 2 2018 (same type asked 3 times) See all 3 of this type

    Consider the following for the next 04 (four) items that follow : In an examination of Class XII, 55% students passed in Biology, 62% passed in Physics, 60% passed in Chemistry, 25% passed in Physics and Biology, 30% passed in Physics and Chemistry, 28% passed in Biology and Chemistry. Only 2% failed in all the subjects.
    51
    What percentage of students passed in all the three subjects ?

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    52
    What percentage of students passed in exactly one subject ?

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    53
    If the number of students is 360, then how many passed in at least two subjects ?

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    54
    What is the ratio of number of students who passed in both Physics and Chemistry to number of students who passed in both Biology and Physics but not Chemistry ?

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  2. Question 2 (case study, 2 parts)

    Triangles. Asked once: CDS 1 2018 (same type asked 3 times) See all 3 of this type

    Consider the following for the next two (02) questions : In a triangle ABC, a, b and c are the lengths of the sides and p, q and r are the lengths of its medians.
    89
    Which one of the following is correct ?

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    90
    Which one of the following is correct ?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: CDS 1 2021 (same type asked 3 times) See all 3 of this type

    47
    If sin⁡θcos⁡θ=k\sin\theta \cos\theta = k, where 0≤θ≤π20 \le \theta \le \frac{\pi}{2}, then which one of the following is correct?

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: CDS 2 2020 (same type asked 3 times) See all 3 of this type

    47
    If cos⁡θ+sec⁡θ=k\cos\theta + \sec\theta = k, then what is the value of sin⁡2θ−tan⁡2θ\sin^2\theta - \tan^2\theta ?

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  5. Question 5

    Linear Equations. Asked once: CDS 2 2017 (same type asked 3 times) See all 3 of this type

    29
    Five years ago, Ram was three times as old as Shyam. Four years from now, Ram will be only twice as old as Shyam. What is the present age of Ram ?

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