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Day 188: CDS Maths

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: CDS 1 2025 (same type asked 7 times) See all 7 of this type

    31
    If sin⁡α+cos⁡α=2\sin\alpha + \cos\alpha = \sqrt{2}, where 0<α<π20 < \alpha < \frac{\pi}{2}, then what is sin⁡3α−cos⁡3α\sin^3\alpha - \cos^3\alpha equal to ?

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  2. Question 2

    Polynomials. Asked once: CDS 1 2018 (same type asked 7 times) See all 7 of this type

    13
    Which one of the following is a zero of the polynomial 3x3+4x2−73x^3 + 4x^2 - 7?

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  3. Question 3

    Ratio, Proportion and Variation. Asked once: CDS 2 2022 (same type asked 7 times) See all 7 of this type

    3
    If (a3+b3)(a^3 + b^3) is proportional to (a2−b2)(a^2 - b^2), then (a2−ab+b2)(a^2 - ab + b^2) is proportional to

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  4. Question 4

    Number System. Asked once: CDS 1 2023 (same type asked 7 times) See all 7 of this type

    32
    The number 9730−143097^{30} - 14^{30} is divisible by :

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  5. Question 5

    Statistics. Asked once: CDS 2 2020 (same type asked 7 times) See all 7 of this type

    99
    What is the median of 2, 4, 6, ..., 100 ?

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