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Day 260: CDS Maths

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

  1. Question 1

    Number System. Asked once: CDS 2 2025

    12
    The HCF of xx and yy is HH. Consider the following statements in respect of the HCF of p=x3+y3x2−xy+y2p=\frac{x^3+y^3}{x^2-xy+y^2} and q=x3−y3x2+xy+y2q=\frac{x^3-y^3}{x^2+xy+y^2} : I. The HCF of pp and qq can be HH. II. The HCF of pp and qq can be 2H2H. Which of the statements given above is/are correct?

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  2. Question 2

    Percentage, Profit and Loss. Asked once: CDS 1 2020

    27
    The price of an article XX increases by 20% every year and price of article YY increases by 10% every year. In the year 2010, the price of article XX was Rs. 5000 and price of article YY was Rs. 2000. In which year the difference in their prices exceeded Rs. 5000 for the first time ?

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  3. Question 3

    Polynomials. Asked once: CDS 2 2023

    2
    If (x−1)3(x - 1)^3 is a factor of x4+αx3+βx2+γx−1x^4 + \alpha x^3 + \beta x^2 + \gamma x - 1, then the other factor will be :

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  4. Question 4

    Quadratic Equations. Asked once: CDS 2 2024

    10
    Let p,qp, q be the roots of the equation x2+mx−n=0x^2 + mx - n = 0 and m,nm, n be the roots of the equation x2+px−q=0x^2 + px - q = 0 (m,n,p,q(m, n, p, q are non-zero numbers). Which of the following statements is/are correct ? I. m(m+n)=−1m(m + n) = -1 II. p+q=1p + q = 1 Select the answer using the code given below :

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  5. Question 5

    Quadrilaterals. Asked once: CDS 1 2024

    50
    In a quadrilateral ABCD, AB = BC and CD = DA; AC and BD are diagonals such that AC = 6 cm and BD = 12 cm. What is the area of the quadrilateral ?

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