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Day 210: CDS Maths

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

  1. Question 1

    Algebraic Identities and Simplification. Asked once: CDS 1 2018 (same type asked 5 times) See all 5 of this type

    9
    If a2−1a=5\frac{a^2 - 1}{a} = 5, then what is the value of a6−1a3\frac{a^6 - 1}{a^3}?

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  2. Question 2

    Polynomials. Asked once: CDS 2 2017 (same type asked 5 times) See all 5 of this type

    20
    If the HCF of polynomials f(x)=(x−1)(x2+3x+a)f(x) = (x - 1) (x^2 + 3x + a) and g(x)=(x+2)(x2+2x+b)g(x) = (x + 2) (x^2 + 2x + b) is (x2+x−2)(x^2 + x - 2), then what are the values of aa and bb respectively ?

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  3. Question 3

    Number System. Asked once: CDS 2 2018 (same type asked 5 times) See all 5 of this type

    1
    The highest four-digit number which is divisible by each of the numbers 16, 36, 45, 48 is

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  4. Question 4

    Quadratic Equations. Asked once: CDS 2 2019 (same type asked 5 times) See all 5 of this type

    48
    If p and q are the roots of the equation x2−15x+r=0x^2 - 15x + r = 0 and p−q=1p - q = 1, then what is the value of r ?

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  5. Question 5

    Mensuration 2D. Asked once: CDS 1 2019 (same type asked 5 times) See all 5 of this type

    28
    The area of a sector of a circle of radius 4 cm is 25.6 cm2^2. What is the radian measure of the arc of the sector ?

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