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Question 1
A circular wire is straightened and cut in such a way that two parts are used to construct squares of equal areas. What is the area of each of the square formed?
Question 2
A square of area 169 sq cm is formed from a wire of certain length. A rectangle is formed from the same wire. What will be the length of rectangle if breadth of rectangle is 60% of its length?
Question 3
Ranjana has a rectangular drawing paper of size 40 cm × 7 cm. She cuts the greatest possible circle. What is the area of the remaining part?
Question 4
The ratio of the area of a sector of a circle to the area of the circle is 1 : 4. If the area of the circle is 154 cm2, the perimeter of the sector is
Question 5
The sides of a right-angled triangle forming right angle are in the ratio 5 : 12. If the area of the triangle is 270 cm2 , then the length of the hypotenuse is
Question 6
The area of a rhombus is 256 square cm. and one of its diagonals is twice the other in length. The length of its larger diagonal is
Question 7
A hollow sphere with outer radius 16 cm and inner radius 12 cm is melted into a cylinder of radius 14 cm. Find the approximate height of the cylinder.
Question 8
If the curved surface area of a right circular cone is 10010 sq cm and its slant height is 91 cm, find its total surface area.
Question 9
Find the ratio of the volume of the largest sphere that can be curved out of a cube of edge 5 cm to the left over of the cube after sphere is curved out.
Question 10
The heights of a cone, cylinder and hemisphere are equal. If their radii are in the ratio 2 : 3 : 1 then the ratio of their volumes is?
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Mar 15SSC & Railway