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Day 249: CDS Maths

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

  1. Question 1

    Inequalities. Asked once: CDS 2 2018

    48
    The solution of linear inequalities x+y≥5x + y \ge 5 and x−y≤3x - y \le 3 lies

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  2. Question 2

    Linear Equations. Asked once: CDS 2 2021

    42
    A person agrees to work for 30 days, on a condition that for every day's work he should receive Rs. 500, and that for every day's absence from work he should forfeit Rs. 100. At the end of the time he received Rs. 11,400. How many days did he work ?

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  3. Question 3

    Lines, Angles and Polygons. Asked once: CDS 2 2018

    20
    The number of sides of two regular polygons are in the ratio 5 : 4. The difference between their interior angles is 9∘9^\circ. Consider the following statements : 1. One of them is a pentagon and the other is a rectangle. 2. One of them is a decagon and the other is an octagon. 3. The sum of their exterior angles is 720∘720^\circ. Which of the above statements is/are correct ?

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  4. Question 4

    Logarithms. Asked once: CDS 2 2022

    22
    If log⁡10ab−c=log⁡10bc−a=log⁡10ca−b\frac{\log_{10} a}{b - c} = \frac{\log_{10} b}{c - a} = \frac{\log_{10} c}{a - b}, (a≠b≠c)(a \ne b \ne c), then what is the value of abc ?

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  5. Question 5

    Mensuration 2D. Asked once: CDS 2 2024

    85
    In a triangle ABCABC, AB=21AB = 21 cm, BC=20BC = 20 cm and CA=13CA = 13 cm. A perpendicular CDCD is drawn upon the longest side. What is the area of the triangle BCDBCD ?

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