PYQ Vault

Mensuration 2D

SSC CGL Tier II Quant. Try each one first, then open its answer.

Top 9 SSC CGL Tier II PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    Asked once: 18 Jan 2026 Tier II

    8
    A rectangle is such that its area is 48 cm248\ \text{cm}^2 and its perimeter is 28 cm. If a rhombus is formed by joining the midpoints of the sides of this rectangle, what is the area of the rhombus?

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  2. Question 2

    Asked once: 20 Jan 2025 Tier II

    13
    The ratio between the length and the breadth of a rectangular park is 3 : 2, and the perimeter of the park is 120 m. Find the area (in m2\text{m}^2) of the park.

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  3. Question 3

    Asked once: 20 Jan 2025 Tier II

    15
    Akshay places three identical rings of diameter 21 cm in such a manner that each one touches the other two rings. He observes that there is a space enclosed by the circles. What is the area (in cm2\text{cm}^2) of this portion? (Take π=227\pi = \frac{22}{7}) Note – Rounded off to nearest 2 decimal places and 3=1.732\sqrt{3} = 1.732

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  4. Question 4

    Asked once: 6 Mar 2023 Tier II

    4
    What is the perimeter of a square inscribed in a circle of radius 5 cm?

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  5. Question 5

    Asked once: 6 Mar 2023 Tier II

    15
    The difference between the length of two parallel sides of a trapezium is 12 cm. The perpendicular distance between these two parallel sides is 60 cm. If the area of the trapezium is 1380 cm2\text{cm}^2, then find the length of each of the parallel sides (in cm).

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  6. Question 6

    Asked once: 2 Mar 2023 Tier II

    23
    A rectangular park is 120 m long and 104 m wide. A 1-m wide path runs along the boundary of the park, remaining completely inside the park area. Thus, the outside edges of the path run along the boundary wall of the park. The inside edges of the path are marked with a white line of negligible thickness. If it costs ₹2.50 to mark each metre with the white line, then how much would it cost (in ₹) to fully mark the inside edges of the path?

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  7. Question 7

    Asked once: 8 Aug 2022 Tier II

    48
    ABCDEF is a regular hexagon. Side of the hexagon is 36 cm. What is the area of the triangle ABC?

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  8. Question 8

    Asked once: 8 Aug 2022 Tier II

    75
    The difference between the areas of two concentric circles is 264 cm2264\ \text{cm}^2. What is the difference between the square of their radius? (use π=227\pi = \frac{22}{7})

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  9. Question 9

    Asked once: 3 Feb 2022 Tier II

    37
    An athlete runs 8 times around a circular field of radius 7 m in 3 minutes 40 seconds. His speed (in km/h) is: (Take π=227\pi = \frac{22}{7})

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