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Day 242: SSC CGL Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. Asked once: 21 Jul 2023 S3 (same type asked 3 times) See all 3 of this type

    55
    In △XYZ\triangle XYZ, right angled at Y, if sin⁡X=12\sin X = \frac{1}{2}, find the value of cos⁡Xcos⁡Z+sin⁡Xsin⁡Z\cos X \cos Z + \sin X \sin Z.

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  2. Question 2

    Algebraic Identities and Simplification. Asked once: 17 Jul 2023 S1 (same type asked 3 times) See all 3 of this type

    72
    If (x2+1x2)=7(x^2 + \frac{1}{x^2}) = 7, and 0<x<10 < x < 1, find the value of x2−1x2x^2 - \frac{1}{x^2}.

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  3. Question 3

    Algebraic Identities and Simplification. Asked once: 25 Jul 2023 S1 (same type asked 3 times) See all 3 of this type

    75
    If x2−15x+1=0x^2 - 15x + 1 = 0, what is the value of x4−223x2+6x^4 - 223x^2 + 6?

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  4. Question 4

    Trigonometric Ratios and Identities. Asked once: 19 Jul 2023 S1 (same type asked 3 times) See all 3 of this type

    65
    Find the value of (sin⁡θ+cos⁡θ)2+(sin⁡θ−cos⁡θ)2(\sin\theta + \cos\theta)^2 + (\sin\theta - \cos\theta)^2.

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: 17 Jul 2023 S4 (same type asked 3 times) See all 3 of this type

    58
    sin⁡4θ+cos⁡4θ1−2sin⁡2θ⋅cos⁡2θ=\frac{\sin^4\theta + \cos^4\theta}{1 - 2\sin^2\theta \cdot \cos^2\theta} = ________.

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