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Day 54: SSC CGL Quant

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

  1. Question 1

    Data Interpretation. This type asked 4 times: 17 Jul 2023 S2, 19 Jul 2023 S1, 20 Jul 2023 S2, 25 Jul 2023 S2. This one: 25 Jul 2023 S2 See all 4 of this type

    52
    The following pie charts show the data of the number of appeared and passed students of class 12 in sections A,B,C,D and E. Find the difference between the number of students who appeared for the exam in sections A and B.

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  2. Question 2

    Trigonometric Ratios and Identities. This type asked 4 times: 17 Jul 2023 S3, 18 Jul 2023 S4, 19 Jul 2023 S2, 25 Jul 2023 S1. This one: 25 Jul 2023 S1 See all 4 of this type

    52
    Using cosec(α+β)=sec⁡α×sec⁡β×cosec α×cosec βsec⁡α×cosec β+cosec α×sec⁡β\text{cosec}(\alpha + \beta) = \frac{\sec\alpha \times \sec\beta \times \text{cosec}\,\alpha \times \text{cosec}\,\beta}{\sec\alpha \times \text{cosec}\,\beta + \text{cosec}\,\alpha \times \sec\beta}, find the value of cosec 75∘\text{cosec}\,75^\circ.

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  3. Question 3

    Time, Speed and Distance. Asked 3 times: 21 Jul 2023 S4*, 25 Jul 2023 S2*, 26 Sep 2025 S2 (* = numbers or wording changed that year) See all 3 times it was asked

    66
    A train travels the first 100 km at 50 km/h and the next 100 km at 25 km/h. What is the average speed for the total journey?

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  4. Question 4

    Heights and Distances. Asked 3 times: 18 Sep 2025 S1*, 18 Sep 2025 S3*, 24 Sep 2025 S3 (* = numbers or wording changed that year) See all 3 times it was asked

    54
    Two ships positioned on opposite sides of a lighthouse observe the angles of elevation to the top of the lighthouse, which are 30∘30^\circ and 45∘45^\circ respectively. Given that the height of the lighthouse is 100 meters, determine the distance between the two ships.

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  5. Question 5

    Circles. Asked 3 times: 24 Sep 2024 S1*, 20 Sep 2025 S1*, 24 Sep 2025 S2 (* = numbers or wording changed that year) See all 3 times it was asked

    73
    A circle with a radius of 20 cm. A chord of length 32 cm is drawn. What is the distance from the center of the circle to the chord?

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