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Day 19: SSC CGL Quant

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

  1. Question 1

    Surds, Indices and Simplification. This type asked 7 times: 14 Sep 2025 S1, 16 Sep 2025 S2, 17 Sep 2025 S2, 18 Sep 2025 S1, 18 Sep 2025 S2, 18 Sep 2025 S3, 19 Sep 2025 S3. This one: 18 Sep 2025 S1 See all 7 of this type

    75
    Simplify: ((0.5)3+(0.05)3+(0.005)3)÷((0.1)3+(0.01)3+(0.001)3)\left((0.5)^3 + (0.05)^3 + (0.005)^3\right) \div \left((0.1)^3 + (0.01)^3 + (0.001)^3\right)

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  2. Question 2

    Trigonometric Ratios and Identities. This type asked 7 times: 14 Jul 2023 S1, 25 Jul 2023 S1, 25 Jul 2023 S3, 17 Sep 2024 S1, 24 Sep 2024 S1, 26 Sep 2024 S2, 19 Sep 2025 S3. This one: 19 Sep 2025 S3 See all 7 of this type

    64
    If cot⁡A=3\cot A = \sqrt{3}, what is the value of (1+sin⁡A)(1+cos⁡A)(1 + \sin A)(1 + \cos A)?

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  3. Question 3

    Percentage, Profit and Loss. This type asked 7 times: 20 Jul 2023 S1, 21 Jul 2023 S1, 18 Sep 2024 S2, 24 Sep 2024 S2, 16 Sep 2025 S1, 17 Sep 2025 S2, 18 Sep 2025 S3. This one: 18 Sep 2025 S3 See all 7 of this type

    55
    A pair of shoes is listed at ₹ 800. After two successive discounts, it is sold for ₹ 612. If the first discount offered was 10%10\%, what was the second discount percentage?

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  4. Question 4

    Percentage, Profit and Loss. This type asked 7 times: 12 Sep 2025 S1, 12 Sep 2025 S2, 13 Sep 2025 S2, 14 Sep 2025 S1, 14 Sep 2025 S2, 15 Sep 2025 S3, 16 Sep 2025 S1. This one: 16 Sep 2025 S1 See all 7 of this type

    60
    A grocer purchased 50 kg of rice at ₹40 per kg and 20 kg of another variety of rice at ₹55 per kg. He mixed the two varieties and sold the entire mixture at ₹48 per kg. Find his total profit or loss in this transaction.

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  5. Question 5

    Algebraic Identities and Simplification. This type asked 7 times: 19 Jul 2023 S1, 24 Jul 2023 S3, 10 Sep 2024 S2, 11 Sep 2024 S2, 18 Sep 2024 S2, 24 Sep 2024 S2, 26 Sep 2024 S1. This one: 26 Sep 2024 S1 See all 7 of this type

    58
    If 3(163−63)(162+62+Q)=30\frac{3(16^3 - 6^3)}{(16^2 + 6^2 + Q)} = 30, then find the value of QQ.

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