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Day 241: SSC CGL Quant

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

  1. Question 1

    Algebraic Identities and Simplification. Asked once: 14 Jul 2023 S4 (same type asked 3 times) See all 3 of this type

    73
    If a=17a = 17, b=13b = 13, then find the value of the expression (a3−b3−3a2b+3ab2)(a^3 - b^3 - 3a^2 b + 3ab^2).

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  2. Question 2

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

    74
    If (x2−1x2)=46\left(x^2 - \frac{1}{x^2}\right) = 4\sqrt{6}, and x>1x > 1, what is the value of (x3−1x3)\left(x^3 - \frac{1}{x^3}\right)?

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  3. Question 3

    Triangles. Asked once: 18 Jul 2023 S1 (same type asked 3 times) See all 3 of this type

    71
    Let A, B, C be the mid-points of sides PQ, QR PR, respectively, of △PQR\triangle PQR. If the area of △PQR\triangle PQR is 32cm232\text{cm}^2, then find the area of △ABC\triangle ABC.

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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

    74
    If (cos⁡A1−sin⁡A)+(cos⁡A1+sin⁡A)=4\left(\frac{\cos A}{1 - \sin A}\right) + \left(\frac{\cos A}{1 + \sin A}\right) = 4, then what will be the value of A? (0∘<θ<90∘)(0^\circ < \theta < 90^\circ)

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  5. Question 5

    Trigonometric Ratios and Identities. Asked once: 20 Jul 2023 S4 (same type asked 3 times) See all 3 of this type

    63
    In a right-angle triangle, the hypotenuse is 5 cm and the base is 3 cm. If one angle is θ\theta, then tan⁡θ\tan \theta is equal to:

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