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Day 15: CDS Maths

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

  1. Question 1

    Triangles. Asked 4 times: CDS 2 2018*, CDS 1 2021*, CDS 1 2022*, CDS 2 2022 (* = numbers or wording changed that year) See all 4 times it was asked

    76
    Triangle ABC is right-angled at A and AD is perpendicular to BC. If BD = 7.5 cm and DC = 10 cm, then what is AD equal to ?

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  2. Question 2

    Number System. Asked 4 times: CDS 2 2016*, CDS 2 2019*, CDS 2 2020*, CDS 1 2021 (* = numbers or wording changed that year) See all 4 times it was asked

    9
    What is the unit digit in the expansion of 673267^{32}?

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  3. Question 3

    Averages. This type asked 4 times: CDS 2 2017, CDS 1 2019, CDS 2 2019, CDS 2 2026. This one: CDS 2 2026 See all 4 of this type

    91
    If the mean of a set of 7 observations is 10 and the mean of a set of 3 observations is 5, then what is the combined mean ?

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  4. Question 4

    Data Interpretation. This type asked 4 times: CDS 2 2016, CDS 1 2018, CDS 1 2020, CDS 2 2026. This one: CDS 2 2026 See all 4 of this type

    100
    The following data gives the investment in different categories by a governmental organization :
    Sr. No.ItemInvestment (Rs. in crores)
    1Science, Technology and Environment7,200
    2Transport and Communication3,000
    3Rural Development1,500
    4Industry and Minerals3,800
    5Agricultural Services2,500
    Which of the following statements is/are correct ? I. The percentage investment in the 'Science, Technology and Environment' category is 40%. II. The angle (in degrees) for 'Agricultural Services' in a pie diagram is 50∘50^\circ. Select the answer using the code given below :

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  5. Question 5

    Heights and Distances. This type asked 4 times: CDS 1 2017, CDS 1 2023, CDS 1 2025, CDS 2 2026. This one: CDS 2 2026 See all 4 of this type

    45
    A tower subtends an angle α\alpha at a point P on the same level as the foot of the tower. Q is a point vertically above P and PQ = h. If the angle of depression of the foot of the tower measured from Q is β\beta, then what is the height of the tower ?

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