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Day 383: SSC CGL Quant

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

  1. Question 1

    Time and Work. Asked once: 19 Jul 2023 S2

    67
    Inlet Pipes A and B can together fill an empty tank in 1.5 hours. Outlet Pipe C, when opened alone, can empty the completely filled tank, in 4.5 hours. When only Pipes A and C are opened together, the empty tank is filled in 6 hours. Find the time taken by Pipe B, when opened alone, to fill the empty tank.

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  2. Question 2

    Time, Speed and Distance. Asked once: 14 Jul 2023 S4

    65
    A man takes 15 minutes to row 16 km downstream, which is 25%25\% less than the time he takes to row the same distance upstream. How many kilometres can the man row in an hour in still water? (Rounded off to nearest whole number)

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  3. Question 3

    Triangles. Asked once: 11 Sep 2024 S3

    75
    In a ΔABC\Delta ABC, if 12∠A+∠B+∠C=120∘\frac{1}{2}\angle A + \angle B + \angle C = 120^\circ, then the value of 14∠A\frac{1}{4}\angle A is:

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: 10 Sep 2024 S2

    70
    If pcos⁡A=2qsin⁡Ap \cos A = 2q \sin A and 2p cosecA−qsec⁡A=32p \, \text{cosec} A - q \sec A = 3, then the value of p2+4q2p^2 + 4q^2 is:

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  5. Question 5

    Algebraic Identities and Simplification. Asked once: 24 Jul 2023 S2

    64
    Simplify the following expression. (4x+1)2−(4x+3)(4x−1)(4x + 1)^2 - (4x + 3)(4x - 1)

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