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Day 27: SSC CGL Quant

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

  1. Question 1

    Algebraic Identities and Simplification. This type asked 6 times: 17 Jul 2023 S2, 20 Jul 2023 S1, 25 Jul 2023 S2, 25 Jul 2023 S4, 9 Sep 2024 S1, 26 Sep 2024 S3. This one: 26 Sep 2024 S3 See all 6 of this type

    72
    Simplify 4x2−49y22x+7y+7y−2x\frac{4x^2 - 49y^2}{2x + 7y} + 7y - 2x

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  2. Question 2

    Time and Work. This type asked 6 times: 24 Jul 2023 S1, 11 Sep 2024 S1, 13 Sep 2024 S1, 24 Sep 2024 S1, 26 Sep 2024 S1, 26 Sep 2024 S3. This one: 26 Sep 2024 S3 See all 6 of this type

    57
    A tank is filled in 45 minutes by two pipes, A and B. Pipe B fills the tank twice as fast as A. How much time (in minutes) will pipe A alone take to fill the tank?

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  3. Question 3

    Number System. This type asked 6 times: 14 Jul 2023 S1, 25 Jul 2023 S1, 10 Sep 2024 S2, 13 Sep 2024 S3, 18 Sep 2024 S2, 26 Sep 2024 S1. This one: 26 Sep 2024 S1 See all 6 of this type

    61
    Find the remainder when 920+29^{20} + 2 is divided by 4.

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  4. Question 4

    Algebraic Identities and Simplification. This type asked 6 times: 21 Jul 2023 S1, 21 Jul 2023 S3, 10 Sep 2024 S3, 19 Sep 2024 S3, 23 Sep 2024 S3, 25 Sep 2024 S3. This one: 25 Sep 2024 S3 See all 6 of this type

    56
    If a2+b2=148a^2 + b^2 = 148 and ab=54ab = 54, then find the value of a+ba−b\frac{a + b}{a - b}.

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  5. Question 5

    Trigonometric Ratios and Identities. This type asked 6 times: 20 Jul 2023 S4, 10 Sep 2024 S3, 11 Sep 2024 S1, 11 Sep 2024 S2, 18 Sep 2024 S2, 25 Sep 2024 S1. This one: 25 Sep 2024 S1 See all 6 of this type

    54
    Evaluate 2tan⁡54∘cot⁡36∘−cot⁡41∘tan⁡49∘2\frac{\tan 54^\circ}{\cot 36^\circ} - \frac{\cot 41^\circ}{\tan 49^\circ}.

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