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Day 67: CDS Maths

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

  1. Question 1

    Statistics. This type asked 2 times: CDS 2 2018, CDS 2 2025. This one: CDS 2 2025 See all 2 of this type

    95
    A distribution consists of 3 components with frequencies 45, 40 and 55 having their means 2, 2.5 and 2 respectively. What is the mean of the combined distribution?

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  2. Question 2

    Statistics. This type asked 2 times: CDS 2 2020, CDS 2 2025. This one: CDS 2 2025 See all 2 of this type

    92
    To find the average ratio like price/unit, work done/hour, kilometre/hour under certain conditions, the suitable measure of central tendency applicable is

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  3. Question 3

    Triangles. This type asked 2 times: CDS 1 2024, CDS 2 2025. This one: CDS 2 2025 See all 2 of this type

    66
    Two poles of heights 10 m and 15 m are 25 m apart. What is the height of the point of intersection of the lines joining the tip of each pole to the foot of the other pole?

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  4. Question 4

    Triangles. This type asked 2 times: CDS 2 2022, CDS 2 2025. This one: CDS 2 2025 See all 2 of this type

    61
    Let ADAD be the altitude of a triangle ABCABC. If (AB+AC)=p(AB + AC) = p, (AB−AC)=q(AB - AC) = q and (BD−CD)=r(BD - CD) = r, then what is BCBC equal to?

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  5. Question 5

    Triangles. This type asked 2 times: CDS 1 2023, CDS 2 2025. This one: CDS 2 2025 See all 2 of this type

    67
    ABCABC is a triangle right angled at BB. Further, (AB+BC)(AB + BC) exceeds ACAC by 10 units. If the perimeter of the triangle is 60 units, then what is the area of the triangle?

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