Let A be the area of a square whose each side is 10 cm. Let B be the area of a square whose diagonals are 14 cm each. Then (A - B) is equal to1). 02). 13). 24). 4
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1. Two identical rectangular sheets of paper 27.5 cm × 49.5 cm are rolled, one along its length, and the other along its breadth and two cylinders are formed. The ratio of volume of cylinders is
2. The diagonal of square A whose perimeter is 72 is equal to the side of square B. What is the area of square B?
3. The difference between the radii of the bigger circle and smaller circle is 14 cm and the difference between their areas is 1056 sq.cm.. Radius of the smaller circle is
4. Through each vertex of a triangle, a line parallel to the opposite side is drawn. The ratio of the perimeter of the new triangle, thus formed, with that of the original triangle is.
5. A sphere of diameter 6 cm is dropped in a right circular cylindrical vessel partly filled with water. The diameter of the cylindrical vessel is 12 cm. If the sphere is just completely submerged in water, then the rise of water level in the cylindrical vessel is
6. A cuboid has dimensions 8 cm × 10 cm × 12 cm. It is cut into small cubes of side 2 cm. What is the percentage increase in the total surface area?
7. The total surface area of a solid hemisphere is $108\pi$ sq.cm..The volume of the hemisphere is
8. The in-radius of a triangle is 6 cm, and the sum of the lengths of its sides is 50 cm. The area of the triangle (in square cm.) is
9. If a circular (spherical) marble of 10 cm radius has been molten to form smaller circular marbles of 0.5 cm. radius, then how many smaller marbles will be formed?
10. Two solid cylinders of radii 4 cm and 5cm and length 6 cm and 4 cm respectively are recast Into cylindrical disc of thickness 1 cm. Tlie radius of the disc is
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