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Day 113: SSC CGL Tier II Quant

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

  1. Question 1

    Ratio, Proportion and Variation. Asked once: 3 Feb 2022 Tier II

    84
    A vessel contained a solution of acid and water, in which water was 64%. Four litres of the solution was taken out of the vessel and the same quantity of water was added. If the resulting solution contains 30% acid, the quantity (in litres) of the water in the solution, at the beginning in the vessel, was:

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  2. Question 2

    Surds, Indices and Simplification. Asked once: 3 Feb 2022 Tier II

    74
    If 38−5326+73=a+b323\frac{\sqrt{38 - 5\sqrt{3}}}{\sqrt{26 + 7\sqrt{3}}} = \frac{a + b\sqrt{3}}{23}, b>0b > 0, then the value of (b−a)(b - a) is:

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  3. Question 3

    Time and Work. Asked once: 15 Nov 2020 Tier II

    75
    Pipes A and B can fill a tank in 43.2 minutes and 108 minutes, respectively. Pipe C can empty it at 3 litres/minute. When all the three pipes are opened together, they fill the tank in 54 minutes. The capacity (in litres) of the tank is:

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  4. Question 4

    Triangles. Asked once: 3 Feb 2022 Tier II

    36
    In ΔABC\Delta ABC, D and E are points on the sides BC and AB, respectively, such that ∠ACB=∠DEB\angle ACB = \angle DEB. If AB=12AB = 12 cm, BE=5BE = 5 cm and BD:CD=1:2BD : CD = 1 : 2, then BC is equal to:

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  5. Question 5

    Number System. Asked once: 15 Nov 2020 Tier II

    51
    When positive numbers xx, yy and zz are divided by 31, the remainders are 17, 24 and 27, respectively. When (4x−2y+3z)(4x - 2y + 3z) is divided by 31, the remainder will be:

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