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Day 204: CDS Maths

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

  1. Question 1

    Statistics. Asked once: CDS 2 2018 (same type asked 3 times) See all 3 of this type

    60
    Consider the following statements : Statement I : Median can be computed even when the end intervals of a frequency distribution are open. Statement II : Median is a positional average. Which one of the following is correct in respect of the above statements ?

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  2. Question 2

    Quadratic Equations. Asked once: CDS 2 2017 (same type asked 3 times) See all 3 of this type

    1
    What is the value of α\alpha (α≠0)(\alpha \ne 0) for which x2−5x+αx^2 - 5x + \alpha and x2−7x+2αx^2 - 7x + 2\alpha have a common factor ?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: CDS 2 2018 (same type asked 3 times) See all 3 of this type

    64
    Let sin⁡(A+B)=32\sin (A + B) = \frac{\sqrt{3}}{2} and cos⁡B=32\cos B = \frac{\sqrt{3}}{2}, where A, B are acute angles. What is tan⁡(2A−B)\tan (2A - B) equal to ?

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  4. Question 4

    Time and Work. Asked once: CDS 2 2016 (same type asked 3 times) See all 3 of this type

    37
    A tank can be filled by pipe XX in 2 hours and pipe YY in 6 hours. At 10 a.m. pipe XX was opened. At what time will the tank be filled if pipe YY is opened at 11 a.m. ?

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  5. Question 5

    Polynomials. Asked once: CDS 2 2017 (same type asked 3 times) See all 3 of this type

    16
    Let f(x)=a0xn+a1xn−1+a2xn−2+…+an−1x+anf(x) = a_0 x^n + a_1 x^{n-1} + a_2 x^{n-2} + \ldots + a_{n-1} x + a_n, where a0,a1,a2,…,ana_0, a_1, a_2, \ldots, a_n are real numbers. If f(x)f(x) is divided by (ax−b)(ax - b), then the remainder is

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