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Himachal Pradesh mathematics - Practice Mock Test Set 9

1. A pipe can fill a tank in 5 hours. Another pipe can empty the filled tank in 10 hours. If both the pipes are opened simultaneously, then the time (in hours) in which the tank will be half filled, is:
Mathematics 📄 JOA IT (2026)
2. A pipe can fill a tank in 5 hours. Another pipe can empty the filled tank in 10 hours. If both the pipes are opened simultaneously, then the time (in hours) in which the tank will be half filled, is:
Mathematics 📄 JOA IT (2026)
3. A pipe can fill a tank in 5 hours. Another pipe can empty the filled tank in 10 hours. If both the pipes are opened simultaneously, then the time (in hours) in which the tank will be half filled, is:
Mathematics 📄 JOA IT (2026)
4. A pipe can fill a tank in 5 hours. Another pipe can empty the filled tank in 10 hours. If both the pipes are opened simultaneously, then the time (in hours) in which the tank will be half filled, is:
Mathematics 📄 JOA IT (2026)
5. A pipe can fill a tank in 5 hours. Another pipe can empty the filled tank in 10 hours. If both the pipes are opened simultaneously, then the time (in hours) in which the tank will be half filled, is:
Mathematics 📄 JOA IT (2026)
6. A pipe can fill a tank in 5 hours. Another pipe can empty the filled tank in 10 hours. If both the pipes are opened simultaneously, then the time (in hours) in which the tank will be half filled, is:
Mathematics 📄 JOA IT (2026)
7. A pipe can fill a tank in 5 hours. Another pipe can empty the filled tank in 10 hours. If both the pipes are opened simultaneously, then the time (in hours) in which the tank will be half filled, is:
Mathematics 📄 JOA IT (2026)
8. A pipe can fill a tank in 5 hours. Another pipe can empty the filled tank in 10 hours. If both the pipes are opened simultaneously, then the time (in hours) in which the tank will be half filled, is:
Mathematics 📄 JOA IT (2026)
9. The speed of a boat in still water is 15 km/hr and the speed of the current is 5 km/hr. The boat travels to a destination upstream and then returns to the starting point. If the upstream journey takes 4 hours more than the downstream journey, what is the distance to the destination?
Mathematics 📄 JOA IT (2026)
10. The speed of a boat in still water is 15 km/hr and the speed of the current is 5 km/hr. The boat travels to a destination upstream and then returns to the starting point. If the upstream journey takes 4 hours more than the downstream journey, what is the distance to the destination?
Mathematics 📄 JOA IT (2026)
11. The speed of a boat in still water is 15 km/hr and the speed of the current is 5 km/hr. The boat travels to a destination upstream and then returns to the starting point. If the upstream journey takes 4 hours more than the downstream journey, what is the distance to the destination?
Mathematics 📄 JOA IT (2026)
12. The speed of a boat in still water is 15 km/hr and the speed of the current is 5 km/hr. The boat travels to a destination upstream and then returns to the starting point. If the upstream journey takes 4 hours more than the downstream journey, what is the distance to the destination?
Mathematics 📄 JOA IT (2026)
13. The speed of a boat in still water is 15 km/hr and the speed of the current is 5 km/hr. The boat travels to a destination upstream and then returns to the starting point. If the upstream journey takes 4 hours more than the downstream journey, what is the distance to the destination?
Mathematics 📄 JOA IT (2026)
14. The speed of a boat in still water is 15 km/hr and the speed of the current is 5 km/hr. The boat travels to a destination upstream and then returns to the starting point. If the upstream journey takes 4 hours more than the downstream journey, what is the distance to the destination?
Mathematics 📄 JOA IT (2026)
15. The speed of a boat in still water is 15 km/hr and the speed of the current is 5 km/hr. The boat travels to a destination upstream and then returns to the starting point. If the upstream journey takes 4 hours more than the downstream journey, what is the distance to the destination?
Mathematics 📄 JOA IT (2026)
16. The speed of a boat in still water is 15 km/hr and the speed of the current is 5 km/hr. The boat travels to a destination upstream and then returns to the starting point. If the upstream journey takes 4 hours more than the downstream journey, what is the distance to the destination?
Mathematics 📄 JOA IT (2026)
17. Solve the following system of linear equations for the unknowns: 2u + 3v + 4w = 11; u + 5v + 7w = 15; 3u + 11v + 13w = 25
Mathematics 📄 JOA IT (2026)
18. Solve the following system of linear equations for the unknowns: 2u + 3v + 4w = 11; u + 5v + 7w = 15; 3u + 11v + 13w = 25
Mathematics 📄 JOA IT (2026)
19. Solve the following system of linear equations for the unknowns: 2u + 3v + 4w = 11; u + 5v + 7w = 15; 3u + 11v + 13w = 25
Mathematics 📄 JOA IT (2026)
20. Solve the following system of linear equations for the unknowns: 2u + 3v + 4w = 11; u + 5v + 7w = 15; 3u + 11v + 13w = 25
Mathematics 📄 JOA IT (2026)
21. Solve the following system of linear equations for the unknowns: 2u + 3v + 4w = 11; u + 5v + 7w = 15; 3u + 11v + 13w = 25
Mathematics 📄 JOA IT (2026)
22. Solve the following system of linear equations for the unknowns: 2u + 3v + 4w = 11; u + 5v + 7w = 15; 3u + 11v + 13w = 25
Mathematics 📄 JOA IT (2026)
23. Solve the following system of linear equations for the unknowns: 2u + 3v + 4w = 11; u + 5v + 7w = 15; 3u + 11v + 13w = 25
Mathematics 📄 JOA IT (2026)
24. Solve the following system of linear equations for the unknowns: 2u + 3v + 4w = 11; u + 5v + 7w = 15; 3u + 11v + 13w = 25
Mathematics 📄 JOA IT (2026)
25. A conical pit of top diameter 29.4 m is 15 m deep. What is its capacity? (Use π = 22/7)
Mathematics 📄 JOA IT (2026)
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