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Day 77: SSC CGL Quant

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

  1. Question 1

    Trigonometric Ratios and Identities. This type asked 3 times: 20 Jul 2023 S4, 21 Jul 2023 S4, 11 Sep 2024 S3. This one: 11 Sep 2024 S3 See all 3 of this type

    74
    Consider a triangle PQR, right angled at R, in which PQ = 29 units, QR = 21 units and ∠PQR=θ\angle PQR = \theta. Find the value of cos⁡2θ−sin⁡2θ\cos^2\theta - \sin^2\theta.

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  2. Question 2

    Trigonometric Ratios and Identities. This type asked 3 times: 21 Jul 2023 S3, 26 Jul 2023 S2, 11 Sep 2024 S1. This one: 11 Sep 2024 S1 See all 3 of this type

    65
    In a △ABC\triangle ABC right-angled at C, if tan⁡A=3\tan A = \sqrt{3}, then the value of sin⁡Acos⁡Bcot⁡(A+B)\sin A \cos B \cot(A + B) is:

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  3. Question 3

    Number System. This type asked 3 times: 17 Jul 2023 S2, 27 Jul 2023 S1, 10 Sep 2024 S1. This one: 10 Sep 2024 S1 See all 3 of this type

    56
    Which of the following is the largest 5-digit number divisible by 47?

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  4. Question 4

    Time and Work. This type asked 3 times: 19 Jul 2023 S1, 21 Jul 2023 S1, 9 Sep 2024 S1. This one: 9 Sep 2024 S1 See all 3 of this type

    70
    Rajesa, in his printing press, got an order to print some books, out of which he completed 1727\frac{17}{27} of the order in 3434 days. In how many days did he complete the entire order of printing?

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  5. Question 5

    Algebraic Identities and Simplification. This type asked 3 times: 17 Jul 2023 S1, 26 Jul 2023 S1, 27 Jul 2023 S2. This one: 27 Jul 2023 S2 See all 3 of this type

    53
    If x2−1x2=42x^2 - \frac{1}{x^2} = 4\sqrt{2}, what is the value of x4−1x4x^4 - \frac{1}{x^4}?

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