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Practice SSC CGL 2025 Tier 1 Quant PYQ – 24 Sep 2025 Shift 3 (25 Questions with Solutions)

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  1. Question 1

    What will take the place of “?” in the given equation: \(\frac{?}{\sqrt{81}} = \frac{\sqrt{121}}{10+1}\)

  2. Question 2

    What will the ratio be of the simple interest earned on a given amount at the same interest rate over 6 years compared to that earned over 9 years?

  3. Question 3

    A train covers 216 km in 3 hours. What is its average speed in meters per second?

  4. Question 4

    Two ships positioned on opposite sides of a lighthouse observe the angles of elevation to the top of the lighthouse, which are 30° and 45° respectively. Given that the height of the lighthouse is 100 meters, determine the distance between the two ships.

  5. Question 5

    A bathroom floor measures 3.5 m in length and 2 m in width. One of its walls, which is to be tiled fully, measures 2 m in length and 2.5 m in height. If square tiles of side 25 cm are used, and an extra 12% of tiles are purchased to cover cuts and wastage, how many tiles are needed in total?

  6. Question 6

    If two partners invest for the same period but share profits in \(2 : 3,\) and the total profit is Rs. 15,000, what is the capital of the second partner if the first invested Rs. 10,000?

  7. Question 7

    If the interior angle of a regular polygon is \(k\) times its exterior angle, express the number of sides \((n)\) of the polygon in terms of \(k.\)

  8. Question 8

    A man spends 75% of his income. Due to inflation, his expenses increase by 20%, and his income increases by 10%. What is the percentage change in his savings?

  9. Question 9

    A square tile of area 225 cm² is cut into two equal rectangular tiles. What will be the perimeter of each new tile?

  10. Question 10

    A box has 120 pencils in red, blue, and black in the ratio \(2 : 3 : 5.\) If 10 red and 20 black pencils are removed, what is the new ratio of red to black pencils?

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