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Day 271: CDS Maths

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

  1. Question 1

    Statistics. Asked once: CDS 2 2018

    58
    As the number of observations and classes increases, the shape of a frequency polygon

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  2. Question 2

    Surds, Indices and Simplification. Asked once: CDS 1 2022

    17
    If x−yxy+yx=1x\frac{x - y}{x\sqrt{y} + y\sqrt{x}} = \frac{1}{\sqrt{x}}; (x>0, y>0)(x > 0,\ y > 0) then what is the value of xy\frac{x}{y} ?

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  3. Question 3

    Time, Speed and Distance. Asked once: CDS 1 2019

    84
    It takes 11 hours for a 600 km journey if 120 km is done by train and the rest by car. It takes 40 minutes more if 200 km are covered by train and the rest by car. What is the ratio of speed of the car to that of the train ?

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  4. Question 4

    Triangles. Asked once: CDS 2 2025

    85
    A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question : In a triangle ABCABC right angled at BB, AC=20AC = 20 cm. What is the circumradius of the triangle? Statement-I : AB=12AB = 12 cm Statement-II : BC=16BC = 16 cm Which one of the following is correct in respect of the above Question and the Statements?

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: CDS 1 2025

    22
    Consider the following : I. 1−sin⁡6α=cos⁡2α(cos⁡4α−3cos⁡2α+3)1 - \sin^6 \alpha = \cos^2 \alpha (\cos^4 \alpha - 3 \cos^2 \alpha + 3) II. cos⁡8α−sin⁡8α=2sin⁡2α(1−cos⁡4α+sin⁡2αcos⁡2α)\cos^8 \alpha - \sin^8 \alpha = 2 \sin^2 \alpha (1 - \cos^4 \alpha + \sin^2 \alpha \cos^2 \alpha) Which of the above is/are identities ?

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