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Day 208: CDS Maths

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: CDS 1 2022 (same type asked 6 times) See all 6 of this type

    59
    If tan⁡2θ+3sec⁡θ−9=0\tan^2\theta + 3\sec\theta - 9 = 0, where 0<θ<90∘0 < \theta < 90^\circ, then what is the value of 12cot⁡2θ+3cosec⁡θ12\cot^2\theta + 3\operatorname{cosec}\theta?

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  2. Question 2

    Ratio, Proportion and Variation. Asked once: CDS 1 2023 (same type asked 6 times) See all 6 of this type

    11
    If a, b, c, d, e and f satisfy 2a=3b=6c=9d=12e=18f2a = 3b = 6c = 9d = 12e = 18f, then what is the value of (a+b)/(c+d+e+f)(a+b)/(c+d+e+f)?

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  3. Question 3

    Averages. Asked once: CDS 1 2018 (same type asked 6 times) See all 6 of this type

    44
    If the average of 9 consecutive positive integers is 55, then what is the largest integer?

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  4. Question 4

    Averages. Asked once: CDS 1 2017 (same type asked 6 times) See all 6 of this type

    52
    The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students are

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: CDS 2 2019 (same type asked 6 times) See all 6 of this type

    52
    What is the value of sin⁡46∘cos⁡44∘+cos⁡46∘sin⁡44∘\sin 46^\circ \cos 44^\circ + \cos 46^\circ \sin 44^\circ ?

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