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Day 243: CDS Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Averages. Asked once: CDS 1 2021

    96
    Let pp be the mean of mm observations and qq be the mean of nn observations, where p≤qp \le q. If the combined mean of (m+n)(m + n) observations is cc, then which one of the following is correct?

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  2. Question 2

    Circles. Asked once: CDS 2 2023

    82
    Consider the following statements : 1. The angle in a sector greater than a semi-circle is less than a right angle. 2. If two sides of a pair of opposite sides of a cyclic quadrilateral are equal, then its diagonals are also equal. Which of the statements given above is/are correct ?

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  3. Question 3 (case study, 2 parts)

    Data Interpretation. Asked once: CDS 1 2022

    Direction : Consider the following for the two (02) items that follow : The budget allocations represented in a pie diagram under five different heads AA, BB, CC, DD and EE are respectively 40%, 18%, 9%, 25% and 8%. The total budget allocation is Rs. 300.4 lakhs.
    95
    How much less amount is allocated to AA and CC together as compared to BB, DD and EE together?

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    96
    How much amount will be increased on AA if the total budget is increased by three times?

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  4. Question 4

    Heights and Distances. Asked once: CDS 2 2021

    49
    A ladder 10 m long reaches a point 10 m below the top of a vertical flagstaff. From foot of the ladder, the elevation of top of the flagstaff is 60∘60^\circ. What is the height of flagstaff ?

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  5. Question 5

    Inequalities. Asked once: CDS 2 2021

    27
    Consider the following inequalities : 1. a2−b2a2+b2>a−ba+b\dfrac{a^2-b^2}{a^2+b^2}>\dfrac{a-b}{a+b} where a>b>0a>b>0 2. a3+b3a2+b2>a2+b2a+b\dfrac{a^3+b^3}{a^2+b^2}>\dfrac{a^2+b^2}{a+b} only when a>b>0a>b>0 Which of the above is/are correct ?

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