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Day 14: SSC CGL Quant

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

  1. Question 1

    Ratio, Proportion and Variation. This type asked 8 times: 12 Sep 2024 S2, 17 Sep 2024 S1, 17 Sep 2024 S2, 19 Sep 2024 S3, 12 Sep 2025 S2, 14 Sep 2025 S3, 17 Sep 2025 S2, 24 Sep 2025 S1. This one: 24 Sep 2025 S1 See all 8 of this type

    59
    Two numbers are in the ratio 5:75:7. If 9 is added to each, the new ratio becomes 8:118:11. What are the original numbers?

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  2. Question 2

    Trigonometric Ratios and Identities. This type asked 8 times: 17 Jul 2023 S1, 17 Sep 2024 S2, 23 Sep 2024 S2, 17 Sep 2025 S1, 19 Sep 2025 S2, 19 Sep 2025 S3, 21 Sep 2025 S1, 22 Sep 2025 S3. This one: 22 Sep 2025 S3 See all 8 of this type

    68
    If sin⁡A+cos⁡A=22\sin A + \cos A = \frac{\sqrt{2}}{2}, find the value of sin⁡2A+cos⁡2A+2sin⁡Acos⁡A\sin^2 A + \cos^2 A + 2\sin A \cos A.

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  3. Question 3

    Simple and Compound Interest. This type asked 8 times: 14 Jul 2023 S2, 17 Jul 2023 S1, 9 Sep 2024 S3, 19 Sep 2024 S1, 24 Sep 2024 S3, 12 Sep 2025 S3, 17 Sep 2025 S1, 19 Sep 2025 S2. This one: 19 Sep 2025 S2 See all 8 of this type

    59
    A person invested ₹8,000 in one scheme at 6%6\% simple interest and ₹5,000 in another scheme at 8%8\% simple interest for the same duration. If he received a total interest of ₹1,760 from both investments, what was the duration (time period) of the investments?

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  4. Question 4

    Trigonometric Ratios and Identities. This type asked 8 times: 17 Jul 2023 S3, 19 Jul 2023 S2, 27 Jul 2023 S2, 13 Sep 2024 S3, 17 Sep 2024 S2, 23 Sep 2024 S1, 25 Sep 2024 S2, 26 Sep 2024 S3. This one: 26 Sep 2024 S3 See all 8 of this type

    63
    If x=asec⁡θcos⁡ϕ,y=bsec⁡θsin⁡ϕx = a\sec\theta\cos\phi, y = b\sec\theta\sin\phi and z=ctan⁡θz = c\tan\theta, then the value of (x2a2+y2b2−z2c2)\left(\frac{x^2}{a^2} + \frac{y^2}{b^2} - \frac{z^2}{c^2}\right) is equal to:

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  5. Question 5

    Data Interpretation. This type asked 8 times: 21 Jul 2023 S1, 24 Jul 2023 S3, 10 Sep 2024 S1, 13 Sep 2024 S1, 23 Sep 2024 S1, 25 Sep 2024 S1, 25 Sep 2024 S3, 26 Sep 2024 S2. This one: 26 Sep 2024 S2 See all 8 of this type

    72
    The given bar graph shows the turnover of five companies (in crores). What is the difference between the average sales turnover of all the companies put together between the years 2018-2019 and 2019-2020?.

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