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Day 278: CDS Maths

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

  1. Question 1

    Number System. Asked once: CDS 2 2024

    70
    A question is given followed by two statements I and II. Consider the Question and the Statements and mark the correct option. Question : Is p2+pq+q2p^2 + pq + q^2 odd where pp, qq are integers ? Statement-I : p+qp + q is even Statement-II : pqpq is odd Which one of the following is correct in respect of the above Question and the Statements ?

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  2. Question 2

    Percentage, Profit and Loss. Asked once: CDS 2 2017

    11
    A fruit seller has a certain number of mangoes of which 5% are rotten. He sells 75% of the remainder and he is left with 95 mangoes. How many mangoes did he have originally ?

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  3. Question 3

    Polynomials. Asked once: CDS 1 2023

    42
    Consider the following statements in respect of the polynomial a(b−c)(x−b)(x−c)+b(c−a)(x−c)(x−a)+c(a−b)(x−a)(x−b)a(b - c)(x - b)(x - c) + b(c - a)(x - c)(x - a) + c(a - b)(x - a)(x - b) : 1. The coefficient of x2x^2 is 0. 2. The coefficient of xx is (a−b)(b−c)(c−a)(a - b)(b - c)(c - a). Which of the statements given above is/are correct ?

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  4. Question 4 (case study, 2 parts)

    Quadratic Equations. Asked once: CDS 2 2022

    Consider the following for the next two (02) items that follow : Consider the equation 6x2−25x+6x2+25x+12=06x^2 - 25x + \dfrac{6}{x^2} + \dfrac{25}{x} + 12 = 0.
    41
    What is one of the possible values of x−1xx - \dfrac{1}{x} ?

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    42
    What is one of the possible values of x2+1x2x^2 + \dfrac{1}{x^2} ?

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  5. Question 5

    Quadrilaterals. Asked once: CDS 1 2020

    76
    The length and breadth of a rectangle are in the ratio 4:34 : 3. Then what is the ratio of the area of the triangle formed by the parts of the diagonals with a long side to the area of the triangle formed by the parts of diagonals with a short side ?

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