CAT Geometry : Tough Questions (part 2) - #20

Опубликовано: 02 Октябрь 2024
на канале: 2IIM CAT Preparation
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Click on "Show More" to look at the #CATGeometry questions discussed here.
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Other Geometry live sessions -
CAT Geometry (part 1) - #14 -    • CAT Geometry (part 1) - #14  
CAT Learning Geometry from Basics (part 3) - #23 -    • Video  
CAT Geometry (part 4) - #24 -    • CAT Geometry (part 4) - #24  

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A must-attend session on Geometry for CAT preparation. A bunch of reasonably tough questions discussed here.

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Questions:

Q.1 x, y, z are integer that are side of an obtuse - angled triangle. If xy = 4, find z. - 4:00

Q.2 An equilateral triangle is inscribed inside the square such that one side of the triangle is parallel to the diagonal and a vertex coincides with a vertex of the square. What is the ratio of the area of the equilateral triangle to that of the square? - 17:37

Q.3 What is the ratio of the longest diagonal to the shortest diagonal in a regular octagon? - 28:07

Q.4 Find the altitude to the side AC of the triangle with side AB = 20cm, AC = 20cm, BC = 30cm. - 37:22

Q.5 Find the area of a trapezium with parallel sides of 40cms and 54cms and non-parallel sides of 13cms and 15cms. - 40:51

Q.6 ABCDE is a regular hexagon inscribed inside a circle. If the shortest diagonal of the hexagon is of length 3 units, what is the area of the shaded region? - 47:43.

Q.7 Diagonals of a quadrilateral ABCD meet at O. Areas of Tri.AOB, Tri.BOC and Tri.COD are 12 sq cms, 15 sq cms and 20 sq cms respectively. What is the area of the quadrilateral? - 53:48