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Day 1: SSC CGL Quant

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

  1. Question 1

    Time, Speed and Distance. This type asked 27 times: 16 in 2023, 11 in 2024. This one: 26 Sep 2024 S2 See all 27 of this type

    65
    A thief takes off on his bike at a certain speed, after seeing a police car at a distance of 250 m. The police car starts chasing the thief and catches him. If the thief runs 1.5 km before being caught and the speed of the police car is 70 km/h, then what is the speed of thief's bike (in km/h)?

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  2. Question 2

    Circles. This type asked 22 times: 5 in 2023, 6 in 2024, 11 in 2025. This one: 26 Sep 2025 S2 See all 22 of this type

    74
    In a circle, there is a chord measuring 20 cm that is located 15 cm away from the center. What is the approximate radius of the circle?

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  3. Question 3

    Trigonometric Ratios and Identities. This type asked 22 times: 5 in 2023, 12 in 2024, 5 in 2025. This one: 26 Sep 2025 S1 See all 22 of this type

    65
    If 3cot⁡A=43\cot A = 4, then find the value of (3sin⁡A−4cos⁡A)(3\sin A - 4\cos A).

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  4. Question 4

    Surds, Indices and Simplification. This type asked 19 times: 9 in 2023, 10 in 2024. This one: 26 Sep 2024 S2 See all 19 of this type

    69
    Simplify the following expression. (60+64÷4 of 4)×{1000÷((10 of (3+2))×2 of 5)}−28+(100×3 of 3)(60 + 64 \div 4 \text{ of } 4) \times \{1000 \div ((10 \text{ of } (3 + 2)) \times 2 \text{ of } 5)\} - 28 + (100 \times 3 \text{ of } 3).

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  5. Question 5

    Averages. This type asked 17 times: 3 in 2023, 11 in 2024, 3 in 2025. This one: 24 Sep 2025 S1 See all 17 of this type

    68
    In a company, the average salary of 5 junior employees is Rs. 30,000, and that of 4 senior employees is Rs. 60,000. What is the combined average salary?

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