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Day 44: CDS Maths

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

  1. Question 1

    Mensuration 3D. This type asked 3 times: CDS 1 2018, CDS 2 2018, CDS 1 2021. This one: CDS 1 2021 See all 3 of this type

    68
    A cone of height 24 cm has a curved surface area 550 cm2^2. What is the ratio of its radius to slant height? (Take π=227\pi = \frac{22}{7})

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  2. Question 2

    Number System. This type asked 3 times: CDS 1 2017, CDS 1 2020, CDS 1 2021. This one: CDS 1 2021 See all 3 of this type

    4
    Consider the pairs of prime numbers (m,n)(m, n) between 50 and 100 such that m−n=6m - n = 6. How many such pairs are there?

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  3. Question 3

    Percentage, Profit and Loss. This type asked 3 times: CDS 2 2019, CDS 1 2020, CDS 1 2021. This one: CDS 1 2021 See all 3 of this type

    37
    XX sells his goods 25% cheaper than YY and 25% dearer than ZZ. How much percentage is ZZ's goods cheaper than YY?

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  4. Question 4

    Quadrilaterals. This type asked 3 times: CDS 1 2017, CDS 2 2020, CDS 1 2021. This one: CDS 1 2021 See all 3 of this type

    76
    In a trapezium ABCDABCD, ABAB is parallel to DCDC. The diagonals ACAC and BDBD intersect at PP. If AP:PC=4:(4x−4)AP : PC = 4 : (4x - 4) and BP:PD=(2x−1):(2x+4)BP : PD = (2x - 1) : (2x + 4), then what is the value of xx?

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  5. Question 5

    Simple and Compound Interest. This type asked 3 times: CDS 1 2018, CDS 1 2020, CDS 1 2021. This one: CDS 1 2021 See all 3 of this type

    32
    A sum of money was invested at simple interest at a certain rate for 5 years. Had it been invested at a 5% higher rate, it would have fetched Rs. 500 more. What was the principal amount?

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