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Day 314: SSC CGL Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 10 Sep 2024 S2 (same type asked 22 times) See all 22 of this type

    61
    If cot⁡θ=43\cot \theta = \frac{4}{3}, then evaluate sec⁡θ(1+cot⁡2θ)(cosec2θ−cot⁡2θ)cosec3θ\frac{\sec \theta (1 + \cot^2 \theta)(\text{cosec}^2 \theta - \cot^2 \theta)}{\text{cosec}^3 \theta}.

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  2. Question 2

    Surds, Indices and Simplification. Asked once: 17 Jul 2023 S4 (same type asked 19 times) See all 19 of this type

    51
    18÷{(6 of 2−4)}×5(6−3)=18 \div \{(6 \text{ of } 2 - 4)\} \times 5(6 - 3) = ________.

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  3. Question 3

    Data Interpretation. Asked once: 18 Jul 2023 S4 (same type asked 16 times) See all 16 of this type

    67
    Quantity of various food items used by a restaurant during 4 months of a year (in kg).
    Food Item / MonthMarchAprilMayJune
    A220180270320
    B255320390420
    C280295280315
    D350310250280
    E308340350365
    What is the average quantity of food item C used during all the 4 months together?

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: 9 Sep 2024 S1 (same type asked 22 times) See all 22 of this type

    72
    If cosec θ=5/3\text{cosec}\,\theta = 5/3, then evaluate (sec⁡2θ−1)×cot⁡2θ×(1+cot⁡2θ)(\sec^2\theta - 1) \times \cot^2\theta \times (1 + \cot^2\theta).

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  5. Question 5

    Surds, Indices and Simplification. Asked once: 14 Jul 2023 S3 (same type asked 19 times) See all 19 of this type

    73
    Simplify the following expression. [8534×118−{(4669÷27135)−(86129×9114)} of 11236]\left[\frac{85}{34} \times \frac{1}{18} - \left\{\left(\frac{46}{69} \div \frac{27}{135}\right) - \left(\frac{86}{129} \times \frac{91}{14}\right)\right\} \text{ of } \frac{112}{36}\right]

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