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Day 270: CDS Maths

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

  1. Question 1

    Quadratic Equations. Asked once: CDS 1 2024

    11
    If the equation xcos⁡θ=x2+px \cos \theta = x^2 + p has a real solution for every θ\theta where 0≤θ≤π40 \le \theta \le \frac{\pi}{4}, then which one of the following is correct ?

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  2. Question 2

    Quadrilaterals. Asked once: CDS 2 2022

    96
    ABCD is a parallelogram. A circle through A, B and C intersects CD (produced) at E. Which of the following is/are correct ? 1. AE = AD 2. CD = DE Select the correct answer using the code given below :

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  3. Question 3

    Ratio, Proportion and Variation. Asked once: CDS 2 2018

    35
    According to Mr. Sharma's will, half of his property goes to his wife and the rest is equally divided between his two sons, Ravi and Raj. Some years later, Ravi dies and leaves half of his property to his widow and rest to his brother Raj. When Raj dies he leaves half of his property to his widow and remaining to his mother, who is still alive. The mother now owns Rs. 88,000 worth of the property. The total worth of the property of Mr. Sharma was

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  4. Question 4

    Sets. Asked once: CDS 1 2017

    13
    If A={x:x is a multiple of 7}A = \{x : x \text{ is a multiple of } 7\}, B={x:x is a multiple of 5}B = \{x : x \text{ is a multiple of } 5\} and C={x:x is a multiple of 35}C = \{x : x \text{ is a multiple of } 35\}, then which one of the following is a null set ?

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  5. Question 5

    Simple and Compound Interest. Asked once: CDS 1 2018

    33
    A merchant commences with a certain capital and gains annually at the rate of 25%. At the end of 3 years he has Rs. 10,000. What is the original amount that the merchant invested?

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