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Day 125: SSC CGL Quant

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

  1. Question 1

    Triangles. This type asked 2 times: 18 Jul 2023 S3, 12 Sep 2024 S2. This one: 12 Sep 2024 S2 See all 2 of this type

    54
    In ΔDEF\Delta DEF, the bisector of ∠D\angle D intersects side EF at point N. If DE = 36 cm, DF = 40 cm and EF = 38 cm, then the length (in cm) of NF is ________.

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  2. Question 2

    Algebraic Identities and Simplification. This type asked 2 times: 26 Jul 2023 S2, 12 Sep 2024 S1. This one: 12 Sep 2024 S1 See all 2 of this type

    66
    If x+1x=15x + \frac{1}{x} = 15, then the value of 7x2−9x+7x2−x+1\frac{7x^2 - 9x + 7}{x^2 - x + 1} is:

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  3. Question 3

    Trigonometric Ratios and Identities. This type asked 2 times: 21 Jul 2023 S3, 12 Sep 2024 S1. This one: 12 Sep 2024 S1 See all 2 of this type

    75
    The value of (sin⁡θ−2sin⁡3θ2cos⁡3θ−cos⁡θ)31tan⁡θ−sec⁡2θ\left(\frac{\sin\theta - 2\sin^3\theta}{2\cos^3\theta - \cos\theta}\right)^3 \frac{1}{\tan\theta} - \sec^2\theta is:

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  4. Question 4

    Trigonometric Ratios and Identities. This type asked 2 times: 20 Jul 2023 S2, 11 Sep 2024 S3. This one: 11 Sep 2024 S3 See all 2 of this type

    57
    Express sin⁡74∘+tan⁡74∘\sin 74^\circ + \tan 74^\circ in terms of trigonometric ratios of angles between 0∘0^\circ and 45∘45^\circ.

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  5. Question 5

    Time, Speed and Distance. This type asked 2 times: 24 Jul 2023 S3, 11 Sep 2024 S1. This one: 11 Sep 2024 S1 See all 2 of this type

    74
    Atul gives Vishu a head-start of 20 seconds in a 900 m race and beats him by 135 m. While running the same race again Atul gives a start of 189 m and beats him by 8 seconds. In how much time can Vishu complete the full race of 900 m?

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