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Day 206: CDS Maths

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

  1. Question 1

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

    40
    If the mean age of combined group of boys and girls is 18 years and the mean of age of boys is 20 and that of girls is 16, then what is the percentage of boys in the group ?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: CDS 2 2020 (same type asked 7 times) See all 7 of this type

    55
    If sin⁡θ+cos⁡θ=2\sin \theta + \cos \theta = \sqrt{2}, then what is sin⁡6θ+cos⁡6θ+6sin⁡2θcos⁡2θ\sin^6 \theta + \cos^6 \theta + 6 \sin^2 \theta \cos^2 \theta equal to ?

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  3. Question 3

    Polynomials. Asked once: CDS 2 2017 (same type asked 7 times) See all 7 of this type

    3
    What are the factors of x3+4x2−11x−30x^3 + 4x^2 - 11x - 30 ?

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  4. Question 4

    Ratio, Proportion and Variation. Asked once: CDS 1 2021 (same type asked 7 times) See all 7 of this type

    15
    Consider the following statements : 1. If xx is directly proportional to zz and yy is directly proportional to zz, then (x2−y2)(x^2 - y^2) is directly proportional to z2z^2. 2. If xx is inversely proportional to zz and yy is inversely proportional to zz, then (xy)(xy) is inversely proportional to z2z^2. Which of the above statements is/are correct?

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  5. Question 5

    Number System. Asked once: CDS 1 2022 (same type asked 7 times) See all 7 of this type

    2
    4143+434341^{43} + 43^{43} is divisible by

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