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Day 115: SSC CGL Tier II Quant

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

  1. Question 1

    Ratio, Proportion and Variation. Asked once: 15 Nov 2020 Tier II

    90
    A, B and C started a business. Twice the investment of A is equal to thrice the investment of B and also five times the investment of C. If the total profit after a year is ₹15.5 lakhs, then the share of B in the profit is (in ₹ lakhs):

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  2. Question 2

    Surds, Indices and Simplification. Asked once: 29 Jan 2022 Tier II

    86
    The value of 14−15−115−14+114−13−113−12+112−11−111−10+110−3−13−8\frac{1}{4 - \sqrt{15}} - \frac{1}{\sqrt{15} - \sqrt{14}} + \frac{1}{\sqrt{14} - \sqrt{13}} - \frac{1}{\sqrt{13} - \sqrt{12}} + \frac{1}{\sqrt{12} - \sqrt{11}} - \frac{1}{\sqrt{11} - \sqrt{10}} + \frac{1}{\sqrt{10} - 3} - \frac{1}{3 - \sqrt{8}} is:

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  3. Question 3

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

    35
    A can do a piece of work in 15 days. B is 25% more efficient than A, and C is 40% more efficient than B. A and C work together for 3 days and then C leaves. A and B together will complete the remaining work in:

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  4. Question 4

    Triangles. Asked once: 3 Feb 2022 Tier II

    79
    In equilateral △ABC\triangle ABC, D and E are points on the sides AB and AC, respectively, such that AD = CE. BE and CD intersect at F. The measure (in degrees) of ∠CFB\angle CFB is:

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  5. Question 5

    Number System. Asked once: 15 Nov 2020 Tier II

    74
    When 1062, 1134 and 1182 are divided by the greatest number xx, the remainder in each case is yy. What is the value of (x−y)(x - y)?

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