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Mensuration Quiz || DUJAT 2021 || 9 September
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Question 1
A circle and a rectangle have have the same perimeter. The sides of the rectangle are 10 cm and 12 cm. The area of the circle is:
Question 2
The perimeter of a rectangle and an equilateral triangle are same. Also, length of the rectangle is equal to the side of the triangle. The ratio of the areas of the rectangle and the equilateral triangle is how much?
Question 3
The length of a rectangular park is 620 m and its breadth is 505 m. Find the cost of fencing the park at the rate of ₹ 8. 50 per meter?
Question 4
The parallel sides of a trapezium are in a ratio 2 :3 and their shortest distance is 12 cm. If the area of the trapezium is 480 sq. cm., the longer of the parallel sides is of length :
Question 5
The area of rectangle is 1680 cm2 and the length of the diagonal is 58 cm. Find the perimeter of the rectangle.
Question 6
The ratio of radii of two cones is 3 : 4 and the ratio of their heights is 4 : 3. Then the ratio of their volumes will be
Question 7
A solid sphere of radius 12 cm is melted and recast into spherical balls of 1 cm radius. The total number of such spherical balls formed is
Question 8
A right pyramid stands on a square base of side 16 cm and its height is 15 cm. The area (in cm2) of its slant surface is:
Question 9
The volume of the largest right circular cone that can be cut out of a cube whose edge is 9 cm is
Question 10
The rain water from a roof 22 m × 20 m drains into a cylindrical vessel having a diameter of 2 m and height 3.5 m. If the vessel is just full, then the rainfall in cm is:
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