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Day 197: SSC CGL Quant

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

  1. Question 1

    Algebraic Identities and Simplification. Asked once: 18 Jul 2023 S3 (same type asked 2 times) See all 2 of this type

    51
    If a2+b2+c2=ab+bc+aca^2 + b^2 + c^2 = ab + bc + ac, then the value of 11a4+13b4+17c417a2b2+9b2c2+15c2a2\frac{11 a^4 + 13 b^4 + 17 c^4}{17 a^2b^2 + 9b^2c^2 + 15 c^2a^2} is:

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  2. Question 2

    Triangles. Asked once: 18 Jul 2023 S3 (same type asked 2 times) See all 2 of this type

    65
    If in △XYZ\triangle XYZ, XY = 4 and XZ = 5 cm, and Q is a point on YZ such that XQ bisects ∠X\angle X, then YQ : QZ is:

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: 26 Jul 2023 S2 (same type asked 2 times) See all 2 of this type

    73
    If x+1x=1x + \frac{1}{x} = 1, then the value of x2+7x+1x2+11x+1=?\frac{x^2 + 7x + 1}{x^2 + 11x + 1} = ?

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: 21 Jul 2023 S3 (same type asked 2 times) See all 2 of this type

    67
    Simplify the following expression. sin⁡θ−2sin⁡3θ2cos⁡3θ−cos⁡θ\frac{\sin\theta - 2\sin^3\theta}{2\cos^3\theta - \cos\theta}

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: 20 Jul 2023 S2 (same type asked 2 times) See all 2 of this type

    66
    The following expression is equal to. cot⁡85∘+cos⁡75∘\cot 85^\circ + \cos 75^\circ

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