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Day 265: SSC CGL Quant

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

  1. Question 1

    Time, Speed and Distance. Asked once: 10 Sep 2024 S2 (same type asked 4 times) See all 4 of this type

    74
    Places A and B are 20 km apart on the highway. A car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in one hour. If they travelled towards each other, they met in 12 minutes. What are the speeds (in km/h) of two cars?

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  2. Question 2

    Algebraic Identities and Simplification. Asked once: 27 Jul 2023 S1 (same type asked 4 times) See all 4 of this type

    55
    If x+y=25x + y = 25 and xy=20xy = 20, then find the value of x3+y3x^3 + y^3.

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  3. Question 3

    Heights and Distances. Asked once: 17 Jul 2023 S4 (same type asked 4 times) See all 4 of this type

    56
    A person standing at a distance looks at a building having a height of 1000 metres. The angle between the top of the building and the ground is 30∘30^\circ. At what approximate distance (in metres) is the person standing away from the building.

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  4. Question 4

    Surds, Indices and Simplification. Asked once: 12 Sep 2025 S2 (same type asked 4 times) See all 4 of this type

    51
    Let x=3+5x = \sqrt{3} + \sqrt{5} and y=8+2y = \sqrt{8} + \sqrt{2}. Which is greater?

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: 19 Sep 2024 S1 (same type asked 4 times) See all 4 of this type

    58
    The value of the expression sin⁡x+cosec⁡x=2\sin x + \operatorname{cosec} x = 2, then the value of sin⁡7x+cosec⁡7x\sin^7 x + \operatorname{cosec}^7 x is:

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