Question: If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?

• 1. 4:3
• 2. 16:9
• 3. 64:27
• 4. 3:4

Question: Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?

• 1. 21 cm
• 2. 19 cm
• 3. 32 cm
• 4. 18 cm

Question: The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?

• 1. 27:1
• 2. 1:27
• 3. 1:9
• 4. 9:1

Question: How many shots of 1cm radius can be prepared from a sphere of 3cm radius?

• 1. 36
• 2. 64
• 3. 27
• 4. 16

Question: Find the ratio between whole surfaces of a sphere and a hemisphere?

• 1. 3:4
• 2. 4:3
• 3. 3:1
• 4. 1:3

Question: The curved surface of a sphere is 64 π cm2. Find its radius?

• 1. 1 cm
• 2. 2 cm
• 3. 4 cm
• 4. 3 cm

Question: Find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2.

• 1. 1:2
• 2. 2:1
• 3. 1:4
• 4. 4:1

Question: Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?

• 1. 360 cc
• 2. 60 cc
• 3. 300 cc
• 4. 36 cc

Question: Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?

• 1. Rs.1185
• 2. Rs.1285
• 3. Rs.1385
• 4. Rs.1485

Question: The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?

• 1. 308 sq cm
• 2. 220 sq cm
• 3. 440 sq cm
• 4. 132 sq cm