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Day 76: SSC CGL Quant

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

  1. Question 1

    Algebraic Identities and Simplification. This type asked 3 times: 21 Jul 2023 S3, 21 Jul 2023 S4, 17 Sep 2024 S1. This one: 17 Sep 2024 S1 See all 3 of this type

    56
    If x>1x > 1 and x2+1x2=83x^2 + \frac{1}{x^2} = 83, then x3−1x3x^3 - \frac{1}{x^3} is:

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  2. Question 2

    Number System. This type asked 3 times: 9 Sep 2024 S1, 13 Sep 2024 S1, 17 Sep 2024 S1. This one: 17 Sep 2024 S1 See all 3 of this type

    70
    Find the least value of k for which a 7-digit number 249k876 is divisible by 6.

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  3. Question 3

    Triangles. This type asked 3 times: 18 Jul 2023 S1, 11 Sep 2024 S2, 13 Sep 2024 S2. This one: 13 Sep 2024 S2 See all 3 of this type

    61
    ABC is an equilateral triangle. P, Q and R are the mid-points of sides AB, BC and CA, respectively. If the length of the side of the triangle ABC is 11 cm, then the area (in cm2\text{cm}^2) of Δ\DeltaPQR is:

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  4. Question 4

    Linear Equations. This type asked 3 times: 9 Sep 2024 S1, 12 Sep 2024 S1, 13 Sep 2024 S1. This one: 13 Sep 2024 S1 See all 3 of this type

    60
    At a cafe, Rama bought drinks for her 7 friends at ₹240. Some of them wanted coffee, while others wanted black tea. A regular cup of coffee cost ₹40 and a regular cup of black tea cost ₹ 30. How many cups of tea did she purchase?

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  5. Question 5

    Trigonometric Ratios and Identities. This type asked 3 times: 19 Jul 2023 S1, 12 Sep 2024 S2, 13 Sep 2024 S1. This one: 13 Sep 2024 S1 See all 3 of this type

    59
    If 11−sin⁡θ+11+sin⁡θ=4sec⁡θ, (0<θ<90∘)\frac{1}{1 - \sin\theta} + \frac{1}{1 + \sin\theta} = 4\sec\theta,\ (0 < \theta < 90^\circ), then the value of (cot⁡θ+cosec θ)(\cot\theta + \text{cosec}\,\theta) is:

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