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Day 283: SSC CGL Quant

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

  1. Question 1

    Algebraic Identities and Simplification. Asked once: 27 Jul 2023 S1 (same type asked 4 times) See all 4 of this type

    53
    If 2x+3y=162x + 3y = 16 and xy=9xy = 9, then find 8x3+27y38x^3 + 27y^3.

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  2. Question 2

    Time and Work. Asked once: 21 Jul 2023 S4 (same type asked 4 times) See all 4 of this type

    53
    A is 40% more efficient than B. How much time will they take to work together to complete a job, which A alone could have done in 31 days?

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  3. Question 3

    Trigonometric Ratios and Identities. Asked once: 17 Jul 2023 S1 (same type asked 4 times) See all 4 of this type

    69
    Find the value of sin⁡225+sin⁡265\sin^2 25 + \sin^2 65.

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: 26 Sep 2024 S3 (same type asked 22 times) See all 22 of this type

    64
    If cot⁡θ=11\cot\theta = \sqrt{11}, then the value of cosec2θ−sec⁡2θcosec2θ+sec⁡2θ\frac{\text{cosec}^2\theta - \sec^2\theta}{\text{cosec}^2\theta + \sec^2\theta} is:

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  5. Question 5

    Surds, Indices and Simplification. Asked once: 18 Sep 2024 S1 (same type asked 19 times) See all 19 of this type

    60
    Simplify the following: [(512−313) of 1513+1−2×352÷234]\left[\left(5\frac{1}{2} - 3\frac{1}{3}\right) \text{ of } 1\frac{5}{13} + 1 - 2 \times 3\frac{5}{2} \div 2\frac{3}{4}\right]

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