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Question 1
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 2
The length and breadth of a square are increased by 30% and 20% respectively. The area of the rectangle so formed exceeds the area of the square by
Question 3
The area of the square is 576 cm2. Find the area of the largest circle which can be inscribed in the square.
Question 4
Two cubes each of edge 10 cm are joined to form a single cuboid. What is the surface area of the new cuboid so formed ?
Question 5
A metallic sphere of radius 10.5 cm is melted and then recast into small cones each of radius 3.5 cm and height 3 cm. The number of cones thus formed will be how much?
Question 6
The length of the diagonal of a square is ‘a’ cm. Which of the following represents the area of the square (in sq. cm.)?
Question 7
A well of 11.2m diameter is dug 8m deep. The earth taken out has been spread all round it to a width of 7 m to form a circular embankment. Find the height of this embankment.
Question 8
The ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2 find the ratio between the height and radius of the cylinder.
Question 9
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 10
The length of a rectangle is halved while its breadth is tripled. What is the percentage change in area?
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May 22SSC & Railway
