1. In a fort, there was sufficient food for 200 soldiers for 31 days. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers? (4)
- (1) 12 days
- (2) 10 days
- (3) 8 days
- (4) 6 days
- (5) None of these
2. A solid sphere is melted and recast into a right circular cone with a base radius equal to the radius of the sphere. What is the ratio of the height and radius of the cone so formed? (5)
- (1) 4 : 3
- (2) 2 : 3
- (3) 3: 4
- (4) 1: 2
- (5) None of these
3. A train covers 180 km distance in 4 hours. Another train covers the same distance in 1 hour less. What is the difference in the distances covered by these trains in one hour if they are moving in the same direction? (5)
- (1) 45 km
- (2) 9 km
- (3) 40 km
- (4) 42 km
- (5) None of these
4. A spherical metal of radius 10 cm is melted and made into 1000 smaller spheres of equal sizes. In this process, the surface area of the metal is increased by: (5)
- (1) 1000 times
- (2) 100 times
- (3) 10 times
- (4) 50 times
- (5) None of these
5. A man can swim 48 m/min in still water swims 200 m against the current and 200 m with the current. If the difference between those two times is 10 min, what is the speed of the current? (4)
- (1) 30 m/min
- (2) 31 m/min
- (3) 29 m/min
- (4) 32 m/min
- (5) None of these