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Day 85: SSC CGL Quant

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

  1. Question 1

    Percentage, Profit and Loss. Asked 2 times: 12 Sep 2025 S1*, 21 Sep 2025 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    52
    A bakery produced 5000 cakes at a total cost of ₹250,000. They gave away 500 cakes for a promotional event. For the remaining cakes, they offered a 20%20\% discount on the market price of ₹75 per cake. Additionally, they gave one cake free with every 9 cakes bought. If all 5000 cakes were distributed, what is their overall gain or loss percentage?

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  2. Question 2

    Trigonometric Ratios and Identities. Asked 2 times: 17 Sep 2024 S2*, 21 Sep 2025 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    68
    If sin⁡A+cos⁡A=1\sin A + \cos A = 1, then find the value of sin⁡4A+cos⁡4A\sin^4 A + \cos^4 A.

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  3. Question 3

    Surds, Indices and Simplification. Asked 2 times: 18 Sep 2025 S3*, 20 Sep 2025 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    51
    Find the value of x in given equation: 3+x+3−x3+x−3−x=2\frac{\sqrt{3+x}+\sqrt{3-x}}{\sqrt{3+x}-\sqrt{3-x}} = 2

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  4. Question 4

    Simple and Compound Interest. Asked 2 times: 18 Sep 2025 S1*, 19 Sep 2025 S3 (* = numbers or wording changed that year) See all 2 times it was asked

    58
    A person invested a total sum of ₹1900 in three different schemes of simple interest at 2%2\%, 4%4\%, and 5%5\% per annum. At the end of one year, he got the same interest from all three schemes. What was the amount (in ₹) invested at 4%4\%?

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  5. Question 5

    Circles. Asked 2 times: 18 Sep 2025 S2*, 19 Sep 2025 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    73
    The length of each of two tangents drawn from an external point to a circle is 10 cm. What is the approximate distance from the external point to the center of the circle, if the radius is 6 cm?

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