PYQ Vault

Day 274: CDS Maths

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

  1. Question 1

    Percentage, Profit and Loss. Asked once: CDS 2 2018

    34
    A person bought two articles X and Y from a departmental store. The sum of prices before sales tax was Rs. 130. There was no sales tax on the article X and 9% sales tax on the article Y. The total amount the person paid, including the sales tax was Rs. 136.75. What was the price of the article Y before sales tax ?

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  2. Question 2

    Polynomials. Asked once: CDS 2 2023

    75
    Which one of the following is a factor of a2−b2−c2+2bc+a+b−ca^2 - b^2 - c^2 + 2bc + a + b - c ?

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  3. Question 3

    Quadratic Equations. Asked once: CDS 2 2023

    11
    How many real roots does the equation x+9=x−3\sqrt{x + 9} = x - 3 have ?

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  4. Question 4

    Quadrilaterals. Asked once: CDS 1 2022

    73
    ABCDABCD is a trapezium in which ABAB is parallel to DCDC. Let EE and FF be the midpoints on ADAD and BCBC respectively. If EF=10EF = 10 cm and AB−DC=4AB - DC = 4 cm, then what is the value of AB×DCAB \times DC?

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  5. Question 5

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

    47
    The ratio of the sum and difference of the ages of the father and the son is 11 : 3. Consider the following statements : 1. The ratio of their ages is 8 : 5. 2. The ratio of their ages after the son attains twice the present age will be 11 : 8. Which of the statements given above is/are correct ?

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