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Day 298: CDS Maths

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

  1. Question 1

    Number System. Asked once: CDS 2 2024

    36
    Let nn be a natural number. The HCF of nn, n+10n + 10 is 10. If the LCM is xx (a 2-digit number), then how many values of xx are possible ?

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  2. Question 2

    Polynomials. Asked once: CDS 2 2016

    14
    If α\alpha and β\beta are the two zeros of the polynomial 25x2−15x+225x^2 - 15x + 2, then what is a quadratic polynomial whose zeros are (2α)−1(2\alpha)^{-1} and (2β)−1(2\beta)^{-1} ?

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  3. Question 3

    Quadratic Equations. Asked once: CDS 2 2019

    9
    If 1+px1−px1−qx1+qx=1\frac{1 + px}{1 - px}\sqrt{\frac{1 - qx}{1 + qx}} = 1, then what are the non-zero solutions of xx ?

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  4. Question 4

    Quadrilaterals. Asked once: CDS 1 2019

    37
    The sides ADAD, BCBC of a trapezium ABCDABCD are parallel and the diagonals ACAC and BDBD meet at OO. If the area of triangle AOBAOB is 3 cm2^2 and the area of triangle BDCBDC is 8 cm2^2, then what is the area of triangle AODAOD ?

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  5. Question 5

    Ratio, Proportion and Variation. Asked once: CDS 2 2016

    16
    In an office, one-third of the workers are women, half of the women are married and one-third of the married women have children. If three-fourth of the men are married and one-third of the married men have children, then what is the ratio of married women to married men ?

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