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Day 82: SSC CGL Tier II Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 18 Jan 2025 Tier II

    5
    Let ABC be a right-angled triangle with a right angle at B. If tan⁡A=3\tan A = \sqrt{3}, then find the value of sin⁡Acos⁡C+cos⁡Asin⁡C\sin A \cos C + \cos A \sin C and cos⁡Acos⁡C−sin⁡Asin⁡C\cos A \cos C - \sin A \sin C.

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  2. Question 2

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

    81
    If x+y=1x + y = 1, then what is the value of x3+3xy+y3x^3 + 3xy + y^3?

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  3. Question 3

    Averages. Asked once: 26 Oct 2023 Tier II

    1
    The average of 25, 46 and ‘y’ is 11. What is the value of ‘y’?

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  4. Question 4

    Circles. Asked once: 18 Jan 2025 Tier II

    14
    △ABC\triangle ABC is inscribed in a circle with Centre O. If AB = 21 cm, BC = 20 cm and AC = 29 cm, then what is the length of the circumradius of the triangle?

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  5. Question 5

    Coordinate Geometry. Asked once: 3 Feb 2022 Tier II

    73
    Three sides of a triangle are a2+b2\sqrt{a^2 + b^2}, (2a)2+b2\sqrt{(2a)^2 + b^2} and a2+(2b)2\sqrt{a^2 + (2b)^2} units. What is the area (in unit squares) of the triangle?

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