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Day 162: SSC CGL Quant

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

  1. Question 1

    Percentage, Profit and Loss. Asked once: 24 Sep 2024 S2 (same type asked 4 times) See all 4 of this type

    73
    A person purchased a table and a sofa for ₹28,000. He sold the sofa at a profit of 10% and the table at a profit 15.25%. If his total profit was 13%, then the difference between the cost price of the sofa and the table (in ₹) is:

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  2. Question 2

    Time, Speed and Distance. Asked once: 12 Sep 2025 S1 (same type asked 4 times) See all 4 of this type

    70
    Two cars, X and Y, start from points 360 km apart and travel at constant speeds. If they move towards each other, they meet in 4 hours. If they move in the same direction, they meet in 12 hours. What is the speed of car X? (Assume X is the faster car).

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: 26 Sep 2024 S2 (same type asked 4 times) See all 4 of this type

    62
    If 2a−b=32a - b = 3 and 8a3−b3=9998a^3 - b^3 = 999, then find the value of 4a2−b24a^2 - b^2.

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  4. Question 4

    Heights and Distances. Asked once: 18 Sep 2025 S2 (same type asked 4 times) See all 4 of this type

    65
    A tower generates a shadow that is 40 meters long when the sun's angle of elevation is 45 degrees. What is the height of the tower?

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  5. Question 5

    Surds, Indices and Simplification. Asked once: 18 Sep 2025 S2 (same type asked 4 times) See all 4 of this type

    53
    Identify the incorrect relationship(s) from the list below: (i) 6+2=5+3\sqrt{6} + \sqrt{2} = \sqrt{5} + \sqrt{3} (ii) 6+2<5+3\sqrt{6} + \sqrt{2} < \sqrt{5} + \sqrt{3} (iii) 6+2>5+3\sqrt{6} + \sqrt{2} > \sqrt{5} + \sqrt{3}

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