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Mensuration CAT Previous Year Questions with Answer PDF

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Question for CAT Previous Year Questions: Mensuration
Try yourself:Suppose the medians BD and CE of a triangle ABC intersect at a point O. If area of triangle ABC is 108 sq. cm., then, the area of the triangle EOD, in sq. cm., is

[2022]

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Question for CAT Previous Year Questions: Mensuration
Try yourself:In a triangle ABC, AB = AC = 8cm. A circle drawn with BC as diameter passes through A . Another circle drawn with center at A passes through B and C. Then the area, in sq. cm , of the overlapping region between the two circles is

[2022]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Mensuration
Try yourself:From a container filled with milk, 9 litres of milk are drawn and replaced with water. Next, from the same container, 9 litres are drawn and again replaced with water. If the volumes of milk and water in the container are now in the ratio of 16 : 9, then the capacity of the container, in litres, is

[2021]

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Question for CAT Previous Year Questions: Mensuration
Try yourself:If a rhombus has area 12 sq cm and side length 5 cm, then the length, in cm, of its longer diagonal is  

[2021]

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Question for CAT Previous Year Questions: Mensuration
Try yourself:The sides AB and CD of a trapezium ABCD are parallel, with AB being the smaller side. P is the midpoint of CD and ABPD is a parallelogram. If the difference between the areas of the parallelogram ABPD and the triangle BPC is 10 sq cm, then the area, in sq cm, of the trapezium ABCD is  

[2021]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Mensuration
Try yourself:Let D and E be points on sides AB and AC, respectively, of a triangle ABC, such that AD : BD = 2 : 1 and AE : CE = 2 : 3. If the area of the triangle ADE is 8 sq cm, then the area of the triangle ABC, in sq cm, is  

[2021]

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Question for CAT Previous Year Questions: Mensuration
Try yourself:Two pipes A and B are attached to an empty water tank. Pipe A fills the tank while pipe B drains it. If pipe A is opened at 2 pm and pipe B is opened at 3 pm, then the tank becomes full at 10 pm. Instead, if pipe A is opened at 2 pm and pipe B is opened at 4 pm, then the tank becomes full at 6 pm. If pipe B is not opened at all, then the time, in minutes, taken to fill the tank is  

[2021]

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Question for CAT Previous Year Questions: Mensuration
Try yourself:The cost of fencing a rectangular plot is ₹ 200 per ft. along one side, and ₹ 100 per ft along the three other sides. If the area of the rectangular plot is 60000 sq. ft, then the lowest possible cost of fencing all four sides, in INR, is

[2021]

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Question for CAT Previous Year Questions: Mensuration
Try yourself:A park is shaped like a rhombus and has area 96 sq m. If 40 m of fencing is needed to enclose the park, the cost, in INR, of laying electric wires along its two diagonals, at the rate of ₹125 per m, is

[2021]

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Question for CAT Previous Year Questions: Mensuration
Try yourself:If a triangle ABC, ∠BCA=50o . D and E are points on AB and AC, respectively, such that AD=DE. If F is a point on BC such that BD=DF , then ∠FDE, in degrees, is equal to  

[2021]

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Question for CAT Previous Year Questions: Mensuration
Try yourself:Let ABCD be a parallelogram. The lengths of the side AD and the diogonal AC are 10cm and 20cm, respectively. If the angle ∠ADC is equal to 30o then the area of the parallelogram, in sq.cm is  

[2021]

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Question for CAT Previous Year Questions: Mensuration
Try yourself:On a rectangular metal sheet of area 135 sq in, a circle is painted such that the circle touches two opposite sides. If the area of the sheet left unpainted is two-thirds of the painted area then the perimeter of the rectangle in inches is

[2020]

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Question for CAT Previous Year Questions: Mensuration
Try yourself:A circle is inscribed in a thombus with diagonals 12 cm and 16 cm. The ratio of the area of circle to the area of rhombus is

[2020]

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Question for CAT Previous Year Questions: Mensuration
Try yourself:A solid right circular cone of height 27 cm is cut into two pieces along a plane parallel to its base at a height of 18 cm from the base. If the difference in volume of the two pieces is 225 cc, the volume, in cc, of the original cone is

[2020]

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Question for CAT Previous Year Questions: Mensuration
Try yourself:From an interior point of an equilateral triangle, perpendiculars are drawn on all three sides. The sum of the lengths of the three perpendiculars is s. Then the area of the triangle is

[2020]