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Day 293: CDS Maths

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

  1. Question 1

    Quadrilaterals. Asked once: CDS 1 2020

    79
    A line through the vertex AA of a parallelogram ABCDABCD meets DCDC in PP and BCBC produced in QQ. If PP is the mid-point of DCDC, then which of the following is/are correct ? 1. Area of △PDA\triangle PDA is equal to that of △PCQ\triangle PCQ 2. Area of △QAB\triangle QAB is equal to twice that of △PCQ\triangle PCQ Select the correct answer using the code given below :

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  2. Question 2

    Ratio, Proportion and Variation. Asked once: CDS 1 2017

    32
    In a class of 49 students, the ratio of girls to boys is 4:34 : 3. If 4 girls leave the class, the ratio of girls to boys would be

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  3. Question 3

    Statistics. Asked once: CDS 2 2016

    94
    Consider the following statements : 1. The classes of type 15–19, 20–24, 25–29 etc. are exclusive classes. 2. The classes of type 15–20, 20–25, 25–30 etc. are inclusive classes. Which of the above statements is/are correct ?

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  4. Question 4

    Surds, Indices and Simplification. Asked once: CDS 1 2020

    15
    If 5x+1−5x−1=6005^{x+1} - 5^{x-1} = 600, then what is the value of 102x10^{2x} ?

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  5. Question 5

    Time, Speed and Distance. Asked once: CDS 2 2016

    12
    Two men, AA and BB run a 4 km race on a course 0.25 km round. If their speeds are in the ratio 5 : 4, how often does the winner pass the other ?

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