IPMAT · Quantitative Ability

Geometry and mensuration

Triangles, circles, coordinate geometry, areas and volumes.

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About this topic in IPMAT

  • In the exam pattern: IIM Rohtak IPM Aptitude Test (2026), Quantitative Ability: 40 questions, 160 marks (IIM Rohtak notice, read 26 Oct 2026).
  • Next exam day: IPMAT Indore 2027 exam (expected): 8 May 2027 (Expected — an estimate, not announced).

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  • Q1 · Geometry and mensuration · MEDIUM

    A circular garden has a radius of 14 m. A path 7 m wide is built all round it. Paving costs Rs 50 a square metre. What does it cost to pave the path? (Take pi = 22/7.)

  • Q2 · Geometry and mensuration · EASY

    The base of a right-angled triangle is 15 cm and the hypotenuse is 17 cm. What is the area of the triangle?

  • Q3 · Geometry and mensuration · HARD

    Two circles of radii 5 cm and 3 cm intersect such that the distance between their centers is 4 cm. What is the length of the common chord?

  • Q4 · Geometry and mensuration · EASY

    A rectangular field is 20 m long and 15 m wide. A square flower bed of side 5 m is constructed in the center of the field. What is the area of the remaining part of the field?

  • Q5 · Geometry and mensuration · EASY

    The coordinates of the vertices of a triangle are (0,0), (4,0) and (0,3). What is the area of the triangle?

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