PYQ Vault

Day 97: CDS Maths

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

  1. Question 1

    Polynomials. Asked once: CDS 2 2022 (same type asked 5 times) See all 5 of this type

    7
    If (x+k)(x + k) is the HCF of x2+px+qx^2 + px + q and x2+qx+px^2 + qx + p, where p≠qp \ne q, then what is the value of k ?

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  2. Question 2

    Lines, Angles and Polygons. Asked once: CDS 2 2024 (same type asked 5 times) See all 5 of this type

    95
    The ratio of sum of interior angles to sum of exterior angles of a regular polygon of nn sides is 72\frac{7}{2}. What is the measure of an interior angle of polygon ?

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  3. Question 3

    Number System. Asked once: CDS 1 2025 (same type asked 5 times) See all 5 of this type

    6
    N is the smallest 5-digit number which when divided by 2,22,23,24,…,2n2, 2^2, 2^3, 2^4, \ldots, 2^n leaves a remainder 1. What is the value of nn ?

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  4. Question 4

    Quadratic Equations. Asked once: CDS 1 2023 (same type asked 5 times) See all 5 of this type

    4
    If the roots of the equation x2−bx+c=5x^2 - bx + c = 5 differ by 5, then which one of the following is correct?

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  5. Question 5

    Time, Speed and Distance. Asked once: CDS 2 2022 (same type asked 5 times) See all 5 of this type

    36
    A person X starts from a place A and another person Y starts simultaneously from another place B which is d km away from A. They walk in the same direction. X walks at an average speed of u km/hr and Y walks at an average speed of v km/hr. How far will X have walked before he overtakes Y ?

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