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Day 235: CDS Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Polynomials. Asked once: CDS 2 2025

    39
    Which of the following is/are the factor(s) of (3x+y)2+(3x+y)(x+5y)−20(x+5y)2(3x + y)^2 + (3x + y)(x + 5y) - 20(x + 5y)^2? I. (4x+13y)(4x + 13y) II. (x+19y)(x + 19y) Select the correct answer using the code given below.

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  2. Question 2

    Quadratic Equations. Asked once: CDS 2 2026

    15
    If the roots of the equation x2+mx+n=0x^2 + mx + n = 0 are increased by the same quantity k, then they become the roots of the equation x2+nx+m=0x^2 + nx + m = 0. What is the value of (m+n)(m + n) ?

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  3. Question 3

    Quadrilaterals. Asked once: CDS 1 2026

    72
    A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : ABCD is a quadrilateral in which AD = BC. What is ∠ABC+∠ADC\angle ABC + \angle ADC equal to ? Statement-I : AB is parallel to DC Statement-II : AD is not parallel to BC Which one of the following is correct in respect of the above Question and the Statements ?

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  4. Question 4 (case study, 2 parts)

    Ratio, Proportion and Variation. Asked once: CDS 1 2026

    For the next two (02) items that follow : X is an alloy of copper and zinc. Y is an alloy containing 80% of copper, 4% of zinc and 16% of tin. A fused mass of X and Y is found to contain 74% of copper, 16% of zinc and 10% of tin.
    87
    What is the percentage of copper in X ?

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    88
    What is the percentage of zinc in X ?

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  5. Question 5

    Sequence and Series. Asked once: CDS 2 2022

    33
    If bc+cd=2bdbc + cd = 2bd and a+c=2ba + c = 2b, then which one of the following is correct ?

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