1. A train covers 3584 km in 2 days 8 hours. If it covers 1440 km on the first day and 1608 km on the second day, by how much does the average speed of the train for the remaining part of the journey differ from that for the entire journey? (1)
- 1. 3 km/hour more
- 2. 3 km/hour less
- 3. 4 km/hour more
- 4. 5 km/hour less
- 5. 4 km/hour less
2. The average age of A and B is 22 years. If C were to replace A, the average would be 18 and if C were to replace B, the average would be 23. What are the ages of A, B and C? (1)
- 1. 27, 17, 19
- 2. 18, 22, 20
- 3. 22, 20, 18
- 4. 18, 20, 22
- 5. 17, 23, 29
3. If 1 is added to the age of the elder sister, then the ratio of the ages of two sisters becomes 0.5 : 1, but if 2 is subtracted from the age of the younger one, the ratio becomes 1 : 3. Find the age of the two sisters. (3)
- 1. 8 and 5 years
- 2. 11 and 6 years
- 3. 9 and 5 years
- 4. 8 and 6 years
- 5. 7 and 4 years
4. If the ages of P and R are added to twice the age of Q, the total becomes 59. If the ages of Q and R are added to thrice the age of P, the total becomes 68 and if the age of P is added to thrice the age of Q and thrice the age of R, the total becomes 108. What is the age of P? (4)
- 1. 19 years
- 2. 15 years
- 3. 17 years
- 4. 12 years
- 5. 8 years
5. The average age of a class is 40 years. 12 new students with an average age of 32 years join the class, thereby decreasing the average age by 4 years. The original strength of the class was: (3)
- 1. 10
- 2. 11
- 3. 12
- 4. 15
- 5. 17