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Day 378: SSC CGL Quant

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

  1. Question 1

    Circles. Asked once: 19 Jul 2023 S4

    63
    In the shown figure, BC is a chord and CD is a tangent through the point C. If ∠AOC=112∘\angle AOC = 112^\circ, then find ∠ACD\angle ACD.

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  2. Question 2

    Data Interpretation. Asked once: 11 Sep 2024 S2

    67
    Five different companies, P, Q, R, S and T, manufacture plastic and wooden bats. These bats are labelled as Brand A or Brand B. The given table shows the number of wooden bats as a percentage of the total bats manufactured by each company. It also shows the ratio of plastic bats labelled as Brand A to Brand B. Each company manufactures 1,00,000 bats. Study the table carefully and answer the question that follows.
    CompanyWooden batsBrand A : Brand B
    P65%3 : 7
    Q70%7 : 8
    R60%19 : 6
    S70%7 : 8
    T50%2 : 3
    Taking all companies together, how many plastic bats of Brand B have been manufactured?

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  3. Question 3

    Mensuration 2D. Asked once: 10 Sep 2024 S1

    73
    The side of an equilateral triangle is 28 cm. Taking each vertex as the centre, a circle is described with a radius equal to half the length of the side of the triangle. Find the area of that part of the triangle which is not included in the circles (use π=227\pi = \frac{22}{7} and 3=1.73\sqrt{3} = 1.73).

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  4. Question 4

    Mensuration 3D. Asked once: 26 Jul 2023 S2

    56
    What is the surface area (in cm2\text{cm}^2) of a spherical sculpture whose radius is 35 cm? (Take π=227\pi = \frac{22}{7})

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  5. Question 5

    Percentage, Profit and Loss. Asked once: 26 Sep 2024 S1

    67
    If books bought at prices ranging from ₹200 to ₹260 are sold at prices ranging from ₹250 to 300, what is the greatest possible profit that might be made in selling 25 books?

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