91Ó°ÊÓ

A rectangular lawn \(60 \mathrm{~m} \times 40 \mathrm{~m}\) has two roads each \(5 \mathrm{~m}\) wide running in the middle of it, one parallel to length and the other parallel to breadth. The cost of gravelling the roads at 80 paise per sq. \(\mathrm{m}\) is : (a) Rs. 380 (b) Rs. 385 (c) Rs. 400 (d) none of these

There are two rectangular fields of same area. The length of first rectangular field is \(x \%\) less than the length of the second field and breadth of the first field is \((5 x) \%\) greater than the breadth of the second field. What is the value of \(x\) ? (a) 15 (b) 25 (c) 50 (d) 80

A spherical steel ball was silver polished then it was cut into 4 similar pieces. What is ratio of the polished area to the non polished area: (a) \(1: 1\) (b) \(1: 2\) (c) \(2: 1\) (d) can't be determined

125 identical cubes are cut from a big cube and all the smaller cubes are arranged in a row to form a long cuboid. What is the percentage increase in the total surface area of the cuboid over the total surface area of the cube? (a) \(234 \frac{2}{3} \%\) (b) \(235 \frac{1}{3} \%\) (c) \(134 \frac{2}{3} \%\) (d) none of these

If the volume of a sphere, a cube, a tetrahedron and octahedron be same then which of the following has maximum surface area? (a) Sphere (b) Cube (c) Octahedron (d) Tetrahedron

Charles has a right circular cylinder which he inserted completely into a right circular cone of height \(30 \mathrm{~cm}\). The vertical angle of the cone is \(60^{\circ}\) and the diameter of the cylinder is \(8 \sqrt{3} \mathrm{~cm}\). What is the volume of the cone? (a) \(\frac{3000}{7} \pi \mathrm{cm}^{3}\) (b) \(3000 \pi \mathrm{cm}^{3}\) (c) \(4860 \pi \mathrm{cm}^{3}\) (d) can't be determind