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Day 200: CDS Maths

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: CDS 1 2021 (same type asked 4 times) See all 4 of this type

    53
    If cosec⁡θ−cot⁡θ=m\operatorname{cosec}\theta - \cot\theta = m, then what is cosec⁡θ\operatorname{cosec}\theta equal to?

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  2. Question 2

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

    89
    A cricketer has a certain average of 10 innings. In the eleventh inning he scored 108 runs, thereby increasing his average by 6 runs. What is his new average ?

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  3. Question 3

    Heights and Distances. Asked once: CDS 1 2019 (same type asked 4 times) See all 4 of this type

    34
    The angles of elevation of the tops of two pillars of heights hh and 2h2h from a point PP on the line joining the feet of the two pillars are complementary. If the distances of the foot of the pillars from the point PP are xx and yy respectively, then which one of the following is correct ?

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  4. Question 4

    Number System. Asked once: CDS 2 2018 (same type asked 4 times) See all 4 of this type

    5
    A five-digit number XY235 is divisible by 3 where X and Y are digits satisfying X+Y≤5X + Y \le 5. What is the number of possible pairs of values of (X, Y) ?

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  5. Question 5

    Ratio, Proportion and Variation. Asked once: CDS 1 2019 (same type asked 4 times) See all 4 of this type

    75
    Given yy is inversely proportional to x\sqrt{x}, and x=36x = 36 when y=36y = 36. What is the value of xx when y=54y = 54 ?

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