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Day 105: CDS Maths

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

  1. Question 1

    Averages. Asked once: CDS 1 2023 (same type asked 4 times) See all 4 of this type

    20
    Average marks in Mathematics of Section A comprising 30 students is 65 and that of Section B comprising 35 students is 70. What are the average marks (approximately) of both the sections if it was detected later that an entry of 47 marks was wrongly made as 74?

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  2. Question 2

    Quadratic Equations. Asked once: CDS 1 2019 (same type asked 4 times) See all 4 of this type

    93
    What is the maximum value of the expression 1x2+5x+10\frac{1}{x^2 + 5x + 10} ?

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  3. Question 3

    Quadratic Equations. Asked once: CDS 1 2022 (same type asked 4 times) See all 4 of this type

    31
    If α\alpha and β\beta are the roots of the quadratic equation x2+αx+β=0x^2 + \alpha x + \beta = 0, where β≠0\beta \ne 0, then what is the value of α−β\alpha - \beta ?

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  4. Question 4

    Surds, Indices and Simplification. Asked once: CDS 2 2019 (same type asked 4 times) See all 4 of this type

    28
    What is 0.53‾+0.53‾0.\overline{53} + 0.5\overline{3} equal to ?

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  5. Question 5

    Time, Speed and Distance. Asked once: CDS 1 2020 (same type asked 4 times) See all 4 of this type

    44
    In covering certain distance, the average speeds of XX and YY are in the ratio 4:54 : 5. If XX takes 45 minutes more than YY to reach the destination, then what is the time taken by YY to reach the destination?

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