1. Two ghats are located on a riverbank and are 12 km apart. Leaving one of the ghats for the other, a motorboat returns to the first ghat in 280 minutes, spending 40 min of that time in taking the passengers at the second ghat. Find the speed of the boat in still water if the speed of the river flow is 4 km/h? (3)
- 1. 6 km/h
- 2. 10 km/h
- 3. 8 km/h
- 4. 9 km/h
- 5. 5.8 km/h
2. At what distance from Delhi will a train, which leaves Delhi for Amritsar at 2.45 pm and goes at the rate of 50 km an hour, meets a train which leaves Amritsar for Delhi at 1.35 pm and goes at the rate of 60 km per hour if the distance between the two towns is 510 km? (3)
- 1. 150 km
- 2. 170 km
- 3. 200 km
- 4. 210 km
- 5. 180 km
3. A cistern can be filled by two pipes filling separately in 12 and 16 minutes respectively. Both pipes are opened together for a certain time but being clogged, only 7/8 of full quantity of water flows through the former and only 5/6 through the latter pipe. The obstructions, however suddenly removed after which the cistern was filled in 3 minutes from that moment. For how long the pipes were clogged? (2)
- 1. 41/3 min.
- 2. 4 1/2 min.
- 3. 3 1/2 min.
- 4. 8 1/3 min.
- 5. 6 1/2 min.
4. C is twice efficient as A. B takes thrice as many days as C. A takes 12 days to finish the work alone. If they work in pairs (i.e. AB, BC, CA) starting with AB on the first day then BC on the second day and AC on the third day and so on, then how many days are required to finish the work? (3)
- 1. 61/5 days
- 2. 4.5 days
- 3. 5 1/9 days
- 4. 8 days
- 5. 7 2/7 days
5. An ore contains 25% of an alloy that has 90% iron. Other than this, in the remaining 75% of the ore, there is no iron. To obtain 60 kg of pure iron, the quantity of the ore needed, in kgs, is approximately: (2)
- 1. 250.57
- 2. 266.67
- 3. 275.23
- 4. 300
- 5. None of these
