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Day 345: SSC CGL Quant

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

  1. Question 1

    Time and Work. Asked once: 18 Sep 2024 S3

    52
    Pipe Q can fill the tank in 60 hours while pipe R may fill in 45 hours. Q and R pipes are opened together for 6 hours after which pipe W is also opened to empty the tank. All three pipes are opened simultaneously for 24 hours to reach the half level mark. How much time (in hours) will pipe W alone take to empty the entire tank?

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  2. Question 2

    Time, Speed and Distance. Asked once: 11 Sep 2024 S3

    60
    A boat can go 54 km upstream in 6 hours. If the speed of the stream is 4.8 km/h, then how much time (in hours) will the boat take to cover a distance of 279 km downstream?

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  3. Question 3

    Triangles. Asked once: 26 Sep 2024 S1

    74
    For triangles, which of the following statement(s) are true? (a) Sum of interior angles is 180∘180^\circ. (b) All interior angles can't be equal. (c) Can have at the most one obtuse angle. (d) Sum of two sides may or may not be equal to the third side.

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: 25 Sep 2024 S2

    70
    If cot⁡2θ−2cos⁡2θ=0\cot^2 \theta - 2\cos^2 \theta = 0, (0∘<θ<90∘)(0^\circ < \theta < 90^\circ), then the value of θ\theta is:

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  5. Question 5

    Algebraic Identities and Simplification. Asked once: 25 Sep 2024 S1

    68
    If x2+7x+8=0x^2 + 7x + 8 = 0, then find the value of 4xx2−5x+8\frac{4x}{x^2 - 5x + 8}.

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