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Himachal Pradesh mathematics - Practice Mock Test Set 33

1. Two taps can fill a cistern in 3 hours and 27 hours respectively. A third tap can empty it in 27 hours. How long (in hours) will it take to fill one-third of the empty cistern, if all of them are opened together?
Mathematics 📄 JOA IT (2026)
2. Two taps can fill a cistern in 3 hours and 27 hours respectively. A third tap can empty it in 27 hours. How long (in hours) will it take to fill one-third of the empty cistern, if all of them are opened together?
Mathematics 📄 JOA IT (2026)
3. Two taps can fill a cistern in 3 hours and 27 hours respectively. A third tap can empty it in 27 hours. How long (in hours) will it take to fill one-third of the empty cistern, if all of them are opened together?
Mathematics 📄 JOA IT (2026)
4. Two taps can fill a cistern in 3 hours and 27 hours respectively. A third tap can empty it in 27 hours. How long (in hours) will it take to fill one-third of the empty cistern, if all of them are opened together?
Mathematics 📄 JOA IT (2026)
5. Two taps can fill a cistern in 3 hours and 27 hours respectively. A third tap can empty it in 27 hours. How long (in hours) will it take to fill one-third of the empty cistern, if all of them are opened together?
Mathematics 📄 JOA IT (2026)
6. Two taps can fill a cistern in 3 hours and 27 hours respectively. A third tap can empty it in 27 hours. How long (in hours) will it take to fill one-third of the empty cistern, if all of them are opened together?
Mathematics 📄 JOA IT (2026)
7. Two taps can fill a cistern in 3 hours and 27 hours respectively. A third tap can empty it in 27 hours. How long (in hours) will it take to fill one-third of the empty cistern, if all of them are opened together?
Mathematics 📄 JOA IT (2026)
8. Two taps can fill a cistern in 3 hours and 27 hours respectively. A third tap can empty it in 27 hours. How long (in hours) will it take to fill one-third of the empty cistern, if all of them are opened together?
Mathematics 📄 JOA IT (2026)
9. A cyclist rides a total distance divided into three parts. He travels the first $\frac{1}{3}$ part of the distance at 20 km/h, the next $\frac{1}{4}$ at 40 km/h, and the remaining part at v km/h. If his average speed for the whole journey is 24 km/h, find v.
Mathematics 📄 JOA IT (2026)
10. A cyclist rides a total distance divided into three parts. He travels the first $\frac{1}{3}$ part of the distance at 20 km/h, the next $\frac{1}{4}$ at 40 km/h, and the remaining part at v km/h. If his average speed for the whole journey is 24 km/h, find v.
Mathematics 📄 JOA IT (2026)
11. A cyclist rides a total distance divided into three parts. He travels the first $\frac{1}{3}$ part of the distance at 20 km/h, the next $\frac{1}{4}$ at 40 km/h, and the remaining part at v km/h. If his average speed for the whole journey is 24 km/h, find v.
Mathematics 📄 JOA IT (2026)
12. A cyclist rides a total distance divided into three parts. He travels the first $\frac{1}{3}$ part of the distance at 20 km/h, the next $\frac{1}{4}$ at 40 km/h, and the remaining part at v km/h. If his average speed for the whole journey is 24 km/h, find v.
Mathematics 📄 JOA IT (2026)
13. A cyclist rides a total distance divided into three parts. He travels the first $\frac{1}{3}$ part of the distance at 20 km/h, the next $\frac{1}{4}$ at 40 km/h, and the remaining part at v km/h. If his average speed for the whole journey is 24 km/h, find v.
Mathematics 📄 JOA IT (2026)
14. A cyclist rides a total distance divided into three parts. He travels the first $\frac{1}{3}$ part of the distance at 20 km/h, the next $\frac{1}{4}$ at 40 km/h, and the remaining part at v km/h. If his average speed for the whole journey is 24 km/h, find v.
Mathematics 📄 JOA IT (2026)
15. A cyclist rides a total distance divided into three parts. He travels the first $\frac{1}{3}$ part of the distance at 20 km/h, the next $\frac{1}{4}$ at 40 km/h, and the remaining part at v km/h. If his average speed for the whole journey is 24 km/h, find v.
Mathematics 📄 JOA IT (2026)
16. A cyclist rides a total distance divided into three parts. He travels the first $\frac{1}{3}$ part of the distance at 20 km/h, the next $\frac{1}{4}$ at 40 km/h, and the remaining part at v km/h. If his average speed for the whole journey is 24 km/h, find v.
Mathematics 📄 JOA IT (2026)
17. In the system of equations $x + y + z = 9$, $2x + 5y + 7z = 52$, and $2x + y - z = 0$, the values of x, y and z will be:
Mathematics 📄 JOA IT (2026)
18. In the system of equations $x + y + z = 9$, $2x + 5y + 7z = 52$, and $2x + y - z = 0$, the values of x, y and z will be:
Mathematics 📄 JOA IT (2026)
19. In the system of equations $x + y + z = 9$, $2x + 5y + 7z = 52$, and $2x + y - z = 0$, the values of x, y and z will be:
Mathematics 📄 JOA IT (2026)
20. In the system of equations $x + y + z = 9$, $2x + 5y + 7z = 52$, and $2x + y - z = 0$, the values of x, y and z will be:
Mathematics 📄 JOA IT (2026)
21. In the system of equations $x + y + z = 9$, $2x + 5y + 7z = 52$, and $2x + y - z = 0$, the values of x, y and z will be:
Mathematics 📄 JOA IT (2026)
22. In the system of equations $x + y + z = 9$, $2x + 5y + 7z = 52$, and $2x + y - z = 0$, the values of x, y and z will be:
Mathematics 📄 JOA IT (2026)
23. In the system of equations $x + y + z = 9$, $2x + 5y + 7z = 52$, and $2x + y - z = 0$, the values of x, y and z will be:
Mathematics 📄 JOA IT (2026)
24. In the system of equations $x + y + z = 9$, $2x + 5y + 7z = 52$, and $2x + y - z = 0$, the values of x, y and z will be:
Mathematics 📄 JOA IT (2026)
25. Forty-five discs, each of diameter 21 cm and thickness $\frac{1}{3}$ cm, are stacked one above the other to form a right circular cylinder. Find the volume (in cm³) of the cylinder. (Use π = 22/7)
Mathematics 📄 JOA IT (2026)
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Boost Your Himachal Pradesh mathematics Exam Preparation

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