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Day 109: CDS Maths

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

  1. Question 1

    Surds, Indices and Simplification. Asked once: CDS 2 2022 (same type asked 4 times) See all 4 of this type

    1
    If x2−20=20+20+20+20+…x^2 - 20 = \sqrt{20 + \sqrt{20 + \sqrt{20 + \sqrt{20 + \ldots}}}} infinite terms, then what is x equal to ?

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  2. Question 2

    Ratio, Proportion and Variation. Asked once: CDS 1 2020 (same type asked 4 times) See all 4 of this type

    9
    If ab=13\frac{a}{b} = \frac{1}{3}, bc=2\frac{b}{c} = 2, cd=12\frac{c}{d} = \frac{1}{2}, de=3\frac{d}{e} = 3 and ef=14\frac{e}{f} = \frac{1}{4}, then what is the value of abcdef\frac{abc}{def} ?

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  3. Question 3

    Ratio, Proportion and Variation. Asked once: CDS 2 2021 (same type asked 4 times) See all 4 of this type

    29
    If ay−bxc=cx−azb=bz−cya\dfrac{ay-bx}{c}=\dfrac{cx-az}{b}=\dfrac{bz-cy}{a}, then which of the following is/are correct ? 1. xa=yb\dfrac{x}{a}=\dfrac{y}{b} 2. x+y+za+b+c=zc\dfrac{x+y+z}{a+b+c}=\dfrac{z}{c} Select the correct answer using the code given below :

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  4. Question 4

    Mensuration 2D. Asked once: CDS 2 2020 (same type asked 4 times) See all 4 of this type

    88
    Four circular coins of equal radius are placed with their centres coinciding with four vertices of a square. Each coin touches two other coins. If the uncovered area of the square is 42 cm242 \text{ cm}^2, then what is the radius of each coin ? (Assume π=227\pi = \frac{22}{7})

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  5. Question 5

    Logarithms. Asked once: CDS 1 2021 (same type asked 4 times) See all 4 of this type

    45
    If 5x−3=85^{x-3} = 8, then what is xx equal to?

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