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Day 123: CDS Maths

5 questions (7 parts). Try each one first, then open its answer.

  1. Question 1 (case study, 3 parts)

    Sets. Asked once: CDS 2 2019 (same type asked 3 times) See all 3 of this type

    Consider the following for the next three (03) items : In a certain town of population size 1,00,000 three types of newspapers (I, II and III) are available. The percentages of the people in the town who read these papers are as follows :
    NewspaperProportion of readers
    I10%
    II30%
    III5%
    Both I and II8%
    Both II and III4%
    Both I and III2%
    All the three (I, II and III)1%
    16
    What is the number of people who read only one newspaper ?

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    17
    What is the number of people who read at least two newspapers ?

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    18
    What is the number of people who do not read any of these three newspapers ?

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  2. Question 2

    Triangles. Asked once: CDS 2 2019 (same type asked 3 times) See all 3 of this type

    90
    Consider the following statements : 1. The perimeter of a triangle is greater than the sum of its three medians. 2. In any triangle ABC, if D is any point on BC, then AB+BC+CA>2ADAB + BC + CA > 2AD. Which of the above statements is/are correct ?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: CDS 2 2021 (same type asked 3 times) See all 3 of this type

    50
    What is the maximum value of 1+2sin⁡2θcos⁡2θ−sin⁡4θ−cos⁡4θ1+2\sin^2\theta\cos^2\theta-\sin^4\theta-\cos^4\theta where 0∘<θ<90∘0^\circ<\theta<90^\circ ?

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  4. Question 4

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

    56
    If sec⁡θ+cos⁡θ=52\sec\theta + \cos\theta = \frac{5}{2}, where 0≤θ≤90∘0 \le \theta \le 90^\circ, then what is the value of sin⁡2θ\sin^2\theta?

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  5. Question 5

    Linear Equations. Asked once: CDS 1 2019 (same type asked 3 times) See all 3 of this type

    73
    Radha and Rani are sisters. Five years back, the age of Radha was three times that of Rani, but one year back the age of Radha was two times that of Rani. What is the age difference between them ?

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