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Day 86: SSC CGL Tier II Quant

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

  1. Question 1

    Triangles. Asked once: 18 Jan 2026 Tier II

    11
    In a right-angled triangle ABC, the angle at B is 90∘90^\circ. If AB = 6 cm and BC = 8 cm, what is the distance between the centroid G and the orthocenter H?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked once: 7 Mar 2023 Tier II

    29
    (sin⁡θ+cosec θ)2+(cos⁡θ+sec⁡θ)2=?(\sin\theta + \text{cosec}\,\theta)^2 + (\cos\theta + \sec\theta)^2 = ?

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: 8 Aug 2022 Tier II

    83
    If xy=−6xy = -6 and x3+y3=19x^3 + y^3 = 19 (x and y are integers), then what is the value of 1x−1+1y−1\frac{1}{x^{-1}} + \frac{1}{y^{-1}} ?

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  4. Question 4

    Averages. Asked once: 3 Mar 2023 Tier II

    10
    The average of 20 numbers is 32. If two numbers are 29 and 31, then what is the average of the remaining numbers (correct up to two decimals)?

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  5. Question 5

    Circles. Asked once: 26 Oct 2023 Tier II

    30
    One chord of a circle is given as 20.5 cm. Then the radius (r) of the circle must be:

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