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2D & 3D Mensuration II Quantitative Aptitude II MH-CET 2021 II 12 August

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Question 1

The area of a circular field is equal to the area of a rectangular field. The ratio of the length and the breadth of the rectangular field is14: 11 respectively and perimeter is 100 meters. What is the diameter of circular field?

Question 2

The area of a square is 1024 sq.cm. What is the respective ratio between the length and the breadth of a rectangle whose length is twice the side of the square and breadth is 12 cm less than the side of the square?

Question 3

The circumference of two circles is 88 m and 220 m respectively. What is the difference between the area of the larger circle and the smaller circle?

Question 4

Area of a circle is equal to the area of a rectangle having perimeter equal to 50 cm. If length of rectangle is 3 cm more than its breadth, what is the diameter of the circle?

Question 5

The sum of area of a rectangle (R) and a square (S) is 136  If the length and breadth of rectangle (R) is 50% more and 25% less than the side of square (S) respectively, then find the perimeter of the rectangle (R).

Question 6

An inverted right circular cone has a radius of 12 cm. This cone is partly filled with a liquid which is dripping from a hole in the tip at a rate of 4/3 cm3/hour. The level of liquid is 4 cm from the top and surface area of liquid is 64π cm2. How long will it take the cone to completely empty?

Question 7

A closed metal box measures externally 12 cm long, 9 cm broad, 6 cm high. If the thickness of the metal is ½ cm, find the capacity of the box?

Question 8

Into a circular drum of radius 4 m and height 7 m, how many full bags of wheat can be emptied if the space required for wheat in each bag is 2 cubic m.

Question 9

Water is completely filled in a hemispherical bowl of radius 24 cm. How many cylindrical bottles of diameter 12 cm and height 5 cm will be completely filled by the water in the bowl?

Question 10

A spherical container is filled to the brim with a beverage. The contents of this container are transferred into a cylindrical vessel whose radius is half of its height. If the diameter is same for both the spherical container and the cylinder, the volume of the beverage occupies how much part of the cylindrical vessel :
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