PYQ Vault

Day 282: CDS Maths

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

  1. Question 1

    Percentage, Profit and Loss. Asked once: CDS 1 2017

    34
    Rajendra bought a mobile with 25% discount on the selling price. If the mobile cost him Rs. 4,875, what is the original selling price of the mobile ?

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  2. Question 2

    Polynomials. Asked once: CDS 2 2021

    8
    What is the sum of the linear factors (in xx and yy) of the expression 2x2+xy−3y22x^2+xy-3y^2 ?

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  3. Question 3

    Quadratic Equations. Asked once: CDS 2 2022

    25
    How many of the following values of x would satisfy the equation qx2−2px+q=0qx^2 - 2px + q = 0 ? 1. x=p+q+p−qp+q−p−qx = \frac{\sqrt{p + q} + \sqrt{p - q}}{\sqrt{p + q} - \sqrt{p - q}}, where p>qp > q 2. x=p+p2−q2qx = \frac{p + \sqrt{p^2 - q^2}}{q}, where p>qp > q 3. x=p+qp−qx = \frac{\sqrt{p + q}}{\sqrt{p - q}}, where p>qp > q Select the correct answer using the code given below :

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  4. Question 4

    Quadrilaterals. Asked once: CDS 1 2020

    68
    ABCDABCD is a plate in the shape of a parallelogram. EFEF is the line parallel to DADA and passing through the point of intersection OO of the diagonals ACAC and BDBD. Further, EE lies on DCDC and FF lies on ABAB. The triangular portion DOEDOE is cut out from the plate ABCDABCD. What is the ratio of area of remaining portion of the plate to the whole ?

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  5. Question 5

    Ratio, Proportion and Variation. Asked once: CDS 1 2018

    29
    In the following table of inverse variation, what are the values of A, B and C respectively?
    M15−6-62C
    N−4-4AB60

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