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Day 97: SSC CGL Tier II Quant

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

  1. Question 1

    Algebraic Identities and Simplification. Asked once: 3 Feb 2022 Tier II

    85
    If x4+y4+x2y2=17116x^4 + y^4 + x^2y^2 = 17\frac{1}{16} and x2−xy+y2=514x^2 - xy + y^2 = 5\frac{1}{4}, then one of the values of (x−y)(x - y) is:

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  2. Question 2

    Averages. Asked once: 3 Feb 2022 Tier II

    100
    The average of 25 numbers is 64. The averages of the first 13 numbers and that of the last 13 numbers are 62.8 and 72.2, respectively. If the 12th12^{\text{th}} number is 61, and if the 12th12^{\text{th}} and 13th13^{\text{th}} numbers are excluded, then what is the average of the remaining numbers (correct to one decimal place)?

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  3. Question 3

    Circles. Asked once: 2 Mar 2023 Tier II

    5
    A,B, C are three points such that AB = 9 cm, BC = 11 cm and AC = 20 cm. The number of circles passing through points A,B,C is:

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  4. Question 4

    Data Interpretation. Asked once: 8 Aug 2022 Tier II

    61
    The following bar graph shows the amounts (in ₹ lakhs) invested by a company in purchasing raw materials and the values (in ₹ lakhs) of finished goods sold by the company, from 2012 to 2017. The difference between the average amount invested in purchasing raw materials during 2012 to 2017 and the average value of sales of finished goods during the same period 2012 to 2017 is:

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  5. Question 5

    Mensuration 2D. Asked once: 8 Aug 2022 Tier II

    48
    ABCDEF is a regular hexagon. Side of the hexagon is 36 cm. What is the area of the triangle ABC?

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