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Day 300: CDS Maths

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

  1. Question 1

    Linear Equations. Asked once: CDS 1 2017

    27
    Leela got married 6 years ago. Today her age is 1141\frac{1}{4} times her age at the time of her marriage. Her son's age is 110\dfrac{1}{10} times her age. What is the present age of her son ?

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  2. Question 2

    Mensuration 2D. Asked once: CDS 2 2023

    58
    The circumference of a circle exceeds the diameter by 16.8 cm. What is the diameter of the circle ? (Take π=227\pi = \frac{22}{7})

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  3. Question 3

    Mensuration 3D. Asked once: CDS 2 2021

    71
    A cubical block of side 14 cm is surmounted by a hemisphere of radius 7 cm. What is the total surface area of the solid thus formed ? (take π=227\pi = \frac{22}{7})

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  4. Question 4

    Number System. Asked once: CDS 2 2024

    45
    What is the remainder when 70×71×72×73×74×75×76×77×78×7970 \times 71 \times 72 \times 73 \times 74 \times 75 \times 76 \times 77 \times 78 \times 79 is divided by 1000 ?

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  5. Question 5

    Quadratic Equations. Asked once: CDS 1 2019

    12
    If x=1+32x = \dfrac{1+\sqrt{3}}{2} and y=x3y = x^3, then yy satisfies which one of the following equations ?

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