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Day 62: SSC CGL Tier II Quant

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

  1. Question 1

    Mensuration 3D. Asked once: 29 Jan 2022 Tier II (same type asked 3 times) See all 3 of this type

    49
    The surface area of a sphere is 221.76 cm2\text{cm}^2. Its volume (in cm3\text{cm}^3) is (correct to one decimal place): (Take π=227\pi = \frac{22}{7})

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: 29 Jan 2022 Tier II (same type asked 3 times) See all 3 of this type

    48
    If 7sin⁡2θ+4cos⁡2θ=57\sin^2\theta + 4\cos^2\theta = 5 and θ\theta lies in the first quadrant, then what is the value of 3sec⁡θ+tan⁡θ2cot⁡θ−3cos⁡θ\frac{\sqrt{3}\sec\theta + \tan\theta}{\sqrt{2}\cot\theta - \sqrt{3}\cos\theta}?

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: 15 Nov 2020 Tier II (same type asked 3 times) See all 3 of this type

    31
    If a+b+c=6a + b + c = 6, a3+b3+c3−3abc=342a^3 + b^3 + c^3 - 3abc = 342, then what is the value of ab+bc+caab + bc + ca?

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  4. Question 4

    Averages. Asked once: 15 Nov 2020 Tier II (same type asked 3 times) See all 3 of this type

    22
    The average score in Mathematics of 90 students of section A and B of class IX was 63. The number of students in A were 10 more than those in B. The average score of students in A was 30% more than that of students in B. The average score of students in B is:

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  5. Question 5

    Data Interpretation. Asked once: 15 Nov 2020 Tier II (same type asked 3 times) See all 3 of this type

    7
    Study the given graph and answer the question that follows. The number of patients aged 10 or more years but below 40 years is what per cent less than the number of patients aged 50 or more years but below 80 years?

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