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Day 215: CDS Maths

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

  1. Question 1

    Statistics. Asked once: CDS 2 2016 (same type asked 7 times) See all 7 of this type

    87
    For x>0x > 0, if a variable takes discrete values x+4x + 4, x−3.5x - 3.5, x−2.5x - 2.5, x−3x - 3, x−2x - 2, x+0.5x + 0.5, x−0.5x - 0.5, x+5x + 5, then what is the median ?

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  2. Question 2

    Quadratic Equations. Asked once: CDS 1 2017 (same type asked 6 times) See all 6 of this type

    17
    If α\alpha and β\beta are the roots of the equation x2+px+q=0x^2 + px + q = 0, then what is α2+β2\alpha^2 + \beta^2 equal to ?

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  3. Question 3

    Mensuration 2D. Asked once: CDS 2 2017 (same type asked 6 times) See all 6 of this type

    81
    An arc of a circle subtends an angle π\pi at the centre. If the length of the arc is 22 cm, then what is the radius of the circle ? (Take π=227\pi = \frac{22}{7})

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: CDS 2 2021 (same type asked 6 times) See all 6 of this type

    52
    If cos⁡2θ−3cos⁡θ+2sin⁡2θ=1\dfrac{\cos^2\theta-3\cos\theta+2}{\sin^2\theta}=1, where 0∘<θ<90∘0^\circ<\theta<90^\circ then what is sin⁡2θ+cos⁡θ\sin^2\theta+\cos\theta equal to ?

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  5. Question 5

    Ratio, Proportion and Variation. Asked once: CDS 2 2019 (same type asked 6 times) See all 6 of this type

    27
    If a:b=c:d=1:6a : b = c : d = 1 : 6, then what is the value of a2+c2b2+d2\frac{a^2 + c^2}{b^2 + d^2} ?

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