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Himachal Pradesh mathematics - Practice Mock Test Set 24

1. A car travels from city A to city B at a speed of 40 km/hr and returns at a speed of y km/hr. If the average speed for the entire journey is 48 km/hr, what is the speed of the car while returning?
Mathematics 📄 JOA IT (2026)
2. The solution of the system of equations $x + y - z = 4$, $x - 2y + 3z = -6$ and $2x + 3y + z = 7$ is $x = p$, $y = q$ and $z = r$. Find the value of $p + q + r$.
Mathematics 📄 JOA IT (2026)
3. The solution of the system of equations $x + y - z = 4$, $x - 2y + 3z = -6$ and $2x + 3y + z = 7$ is $x = p$, $y = q$ and $z = r$. Find the value of $p + q + r$.
Mathematics 📄 JOA IT (2026)
4. The solution of the system of equations $x + y - z = 4$, $x - 2y + 3z = -6$ and $2x + 3y + z = 7$ is $x = p$, $y = q$ and $z = r$. Find the value of $p + q + r$.
Mathematics 📄 JOA IT (2026)
5. The solution of the system of equations $x + y - z = 4$, $x - 2y + 3z = -6$ and $2x + 3y + z = 7$ is $x = p$, $y = q$ and $z = r$. Find the value of $p + q + r$.
Mathematics 📄 JOA IT (2026)
6. The solution of the system of equations $x + y - z = 4$, $x - 2y + 3z = -6$ and $2x + 3y + z = 7$ is $x = p$, $y = q$ and $z = r$. Find the value of $p + q + r$.
Mathematics 📄 JOA IT (2026)
7. The solution of the system of equations $x + y - z = 4$, $x - 2y + 3z = -6$ and $2x + 3y + z = 7$ is $x = p$, $y = q$ and $z = r$. Find the value of $p + q + r$.
Mathematics 📄 JOA IT (2026)
8. The solution of the system of equations $x + y - z = 4$, $x - 2y + 3z = -6$ and $2x + 3y + z = 7$ is $x = p$, $y = q$ and $z = r$. Find the value of $p + q + r$.
Mathematics 📄 JOA IT (2026)
9. The solution of the system of equations $x + y - z = 4$, $x - 2y + 3z = -6$ and $2x + 3y + z = 7$ is $x = p$, $y = q$ and $z = r$. Find the value of $p + q + r$.
Mathematics 📄 JOA IT (2026)
10. If the sum of the length, breadth, and height of a room is 12 m, and the length of its diagonal is 5 m, the total surface area of the room is ____.
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11. If the sum of the length, breadth, and height of a room is 12 m, and the length of its diagonal is 5 m, the total surface area of the room is ____.
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12. If the sum of the length, breadth, and height of a room is 12 m, and the length of its diagonal is 5 m, the total surface area of the room is ____.
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13. If the sum of the length, breadth, and height of a room is 12 m, and the length of its diagonal is 5 m, the total surface area of the room is ____.
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14. If the sum of the length, breadth, and height of a room is 12 m, and the length of its diagonal is 5 m, the total surface area of the room is ____.
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15. If the sum of the length, breadth, and height of a room is 12 m, and the length of its diagonal is 5 m, the total surface area of the room is ____.
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16. If the sum of the length, breadth, and height of a room is 12 m, and the length of its diagonal is 5 m, the total surface area of the room is ____.
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17. If the sum of the length, breadth, and height of a room is 12 m, and the length of its diagonal is 5 m, the total surface area of the room is ____.
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18. During a school swimming event, around 150 participants enter the main pool at the same time. The pool has a rectangular base measuring 90 meters in length and 40 meters in width. Each participant displaces 8 cubic meters of water upon entering the pool. By how much does the water level in the pool rise (in cm)? (Rounded off to two decimal places)
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19. During a school swimming event, around 150 participants enter the main pool at the same time. The pool has a rectangular base measuring 90 meters in length and 40 meters in width. Each participant displaces 8 cubic meters of water upon entering the pool. By how much does the water level in the pool rise (in cm)? (Rounded off to two decimal places)
Mathematics 📄 JOA IT (2026)
20. During a school swimming event, around 150 participants enter the main pool at the same time. The pool has a rectangular base measuring 90 meters in length and 40 meters in width. Each participant displaces 8 cubic meters of water upon entering the pool. By how much does the water level in the pool rise (in cm)? (Rounded off to two decimal places)
Mathematics 📄 JOA IT (2026)
21. During a school swimming event, around 150 participants enter the main pool at the same time. The pool has a rectangular base measuring 90 meters in length and 40 meters in width. Each participant displaces 8 cubic meters of water upon entering the pool. By how much does the water level in the pool rise (in cm)? (Rounded off to two decimal places)
Mathematics 📄 JOA IT (2026)
22. During a school swimming event, around 150 participants enter the main pool at the same time. The pool has a rectangular base measuring 90 meters in length and 40 meters in width. Each participant displaces 8 cubic meters of water upon entering the pool. By how much does the water level in the pool rise (in cm)? (Rounded off to two decimal places)
Mathematics 📄 JOA IT (2026)
23. During a school swimming event, around 150 participants enter the main pool at the same time. The pool has a rectangular base measuring 90 meters in length and 40 meters in width. Each participant displaces 8 cubic meters of water upon entering the pool. By how much does the water level in the pool rise (in cm)? (Rounded off to two decimal places)
Mathematics 📄 JOA IT (2026)
24. During a school swimming event, around 150 participants enter the main pool at the same time. The pool has a rectangular base measuring 90 meters in length and 40 meters in width. Each participant displaces 8 cubic meters of water upon entering the pool. By how much does the water level in the pool rise (in cm)? (Rounded off to two decimal places)
Mathematics 📄 JOA IT (2026)
25. During a school swimming event, around 150 participants enter the main pool at the same time. The pool has a rectangular base measuring 90 meters in length and 40 meters in width. Each participant displaces 8 cubic meters of water upon entering the pool. By how much does the water level in the pool rise (in cm)? (Rounded off to two decimal places)
Mathematics 📄 JOA IT (2026)
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Welcome to the ultimate online preparation hub for the upcoming Himachal Pradesh Competitive Board Exams. Achieving a top rank in state-level selection pipelines requires consistent revision and target accuracy drills. This specialized HP mathematics Practice Set 24 | Interactive MCQ Mock Test module has been meticulously curated using authentic old question papers and highly recommended syllabus blueprints. By attempting these interactive multiple-choice questions (MCQs), you can instantly assess your answer speed, elimination skills, and core subject knowledge. Navigating through our systematic mock test question blocks systematically ensures you cover every high-weightage topic efficiently without fatigue. Stay ahead of the competition, track your progress points across multiple evaluation iterations, and unlock your true scoring potential for all upcoming Himachal Pradesh Govt Jobs.