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Day 47: SSC CGL Quant

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

  1. Question 1

    Time, Speed and Distance. This type asked 4 times: 10 Sep 2024 S2, 19 Sep 2024 S1, 12 Sep 2025 S1, 20 Sep 2025 S1. This one: 20 Sep 2025 S1 See all 4 of this type

    55
    A thief and a police officer are 500 meters apart. If they run in the same direction, the police officer catches the thief in 10 minutes. If they run towards each other, they meet in 2 minutes. What is the speed of the thief in meters per minute?

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  2. Question 2

    Algebraic Identities and Simplification. This type asked 4 times: 27 Jul 2023 S1, 18 Sep 2024 S3, 26 Sep 2024 S2, 19 Sep 2025 S2. This one: 19 Sep 2025 S2 See all 4 of this type

    57
    If a3+b3=35a^3 + b^3=35 and ab=6ab = 6, find the value of a+ba + b.

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  3. Question 3

    Heights and Distances. This type asked 4 times: 17 Jul 2023 S4, 17 Sep 2025 S1, 18 Sep 2025 S2, 19 Sep 2025 S1. This one: 19 Sep 2025 S1 See all 4 of this type

    59
    A tower is 20 meters tall. What is the length of the shadow cast by the tower when the sun's elevation is 45∘45^\circ?

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  4. Question 4

    Surds, Indices and Simplification. This type asked 4 times: 12 Sep 2025 S2, 14 Sep 2025 S3, 18 Sep 2025 S2, 19 Sep 2025 S1. This one: 19 Sep 2025 S1 See all 4 of this type

    53
    Which of the following is correct? (i) 7+2>6+3\sqrt{7} + \sqrt{2} > \sqrt{6} + \sqrt{3} (ii) 7+2<6+3\sqrt{7} + \sqrt{2} < \sqrt{6} + \sqrt{3} (iii) 7+2=6+3\sqrt{7} + \sqrt{2} = \sqrt{6} + \sqrt{3}

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  5. Question 5

    Trigonometric Ratios and Identities. This type asked 4 times: 19 Sep 2024 S1, 19 Sep 2024 S3, 26 Sep 2024 S1, 19 Sep 2025 S1. This one: 19 Sep 2025 S1 See all 4 of this type

    64
    If tan⁡A+cot⁡A=2\tan A + \cot A = 2 and A∈(0,π/2)A \in (0, \pi/2), then what is sin⁡A+cos⁡A\sin A + \cos A?

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