Himachal Pradesh mathematics - Practice Mock Test Set 5

1. A pays B a sum of ₹450 using ₹5, ₹10, and ₹20 coins. He uses a total of 50 coins. If the ratio of 10 and 20 coins used is 5: 1, then how many coins of ₹5 are used in the payment?
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2. A pays B a sum of ₹450 using ₹5, ₹10, and ₹20 coins. He uses a total of 50 coins. If the ratio of 10 and 20 coins used is 5: 1, then how many coins of ₹5 are used in the payment?
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3. A pays B a sum of ₹450 using ₹5, ₹10, and ₹20 coins. He uses a total of 50 coins. If the ratio of 10 and 20 coins used is 5: 1, then how many coins of ₹5 are used in the payment?
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4. A pays B a sum of ₹450 using ₹5, ₹10, and ₹20 coins. He uses a total of 50 coins. If the ratio of 10 and 20 coins used is 5: 1, then how many coins of ₹5 are used in the payment?
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5. Three solid metallic spheres whose radii are 1 cm, x cm and 8 cm, are melted and recast into a single solid sphere of diameter 18 cm. The surface area (in cm²) of the sphere with radius (x² - 11) cm is:
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6. Three solid metallic spheres whose radii are 1 cm, x cm and 8 cm, are melted and recast into a single solid sphere of diameter 18 cm. The surface area (in cm²) of the sphere with radius (x² - 11) cm is:
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7. Three solid metallic spheres whose radii are 1 cm, x cm and 8 cm, are melted and recast into a single solid sphere of diameter 18 cm. The surface area (in cm²) of the sphere with radius (x² - 11) cm is:
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8. Three solid metallic spheres whose radii are 1 cm, x cm and 8 cm, are melted and recast into a single solid sphere of diameter 18 cm. The surface area (in cm²) of the sphere with radius (x² - 11) cm is:
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9. Three solid metallic spheres whose radii are 1 cm, x cm and 8 cm, are melted and recast into a single solid sphere of diameter 18 cm. The surface area (in cm²) of the sphere with radius (x² - 11) cm is:
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10. Three solid metallic spheres whose radii are 1 cm, x cm and 8 cm, are melted and recast into a single solid sphere of diameter 18 cm. The surface area (in cm²) of the sphere with radius (x² - 11) cm is:
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11. Three solid metallic spheres whose radii are 1 cm, x cm and 8 cm, are melted and recast into a single solid sphere of diameter 18 cm. The surface area (in cm²) of the sphere with radius (x² - 11) cm is:
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12. Three solid metallic spheres whose radii are 1 cm, x cm and 8 cm, are melted and recast into a single solid sphere of diameter 18 cm. The surface area (in cm²) of the sphere with radius (x² - 11) cm is:
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13. A semicircular sheet of paper of diameter 16 cm is rolled to form a cone without any overlap, keeping the base open. If the arc of the semicircle becomes the circumference of the cone's base, determine the height of the cone.
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14. A semicircular sheet of paper of diameter 16 cm is rolled to form a cone without any overlap, keeping the base open. If the arc of the semicircle becomes the circumference of the cone's base, determine the height of the cone.
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15. A semicircular sheet of paper of diameter 16 cm is rolled to form a cone without any overlap, keeping the base open. If the arc of the semicircle becomes the circumference of the cone's base, determine the height of the cone.
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16. A semicircular sheet of paper of diameter 16 cm is rolled to form a cone without any overlap, keeping the base open. If the arc of the semicircle becomes the circumference of the cone's base, determine the height of the cone.
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17. A semicircular sheet of paper of diameter 16 cm is rolled to form a cone without any overlap, keeping the base open. If the arc of the semicircle becomes the circumference of the cone's base, determine the height of the cone.
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18. A semicircular sheet of paper of diameter 16 cm is rolled to form a cone without any overlap, keeping the base open. If the arc of the semicircle becomes the circumference of the cone's base, determine the height of the cone.
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19. A semicircular sheet of paper of diameter 16 cm is rolled to form a cone without any overlap, keeping the base open. If the arc of the semicircle becomes the circumference of the cone's base, determine the height of the cone.
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20. A semicircular sheet of paper of diameter 16 cm is rolled to form a cone without any overlap, keeping the base open. If the arc of the semicircle becomes the circumference of the cone's base, determine the height of the cone.
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21. What is the average value per kg of the mixture, if 7 kg of rice at ₹40 per kg is mixed with 3 kg of rice at ₹50 per kg?
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22. What is the average value per kg of the mixture, if 7 kg of rice at ₹40 per kg is mixed with 3 kg of rice at ₹50 per kg?
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23. What is the average value per kg of the mixture, if 7 kg of rice at ₹40 per kg is mixed with 3 kg of rice at ₹50 per kg?
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24. What is the average value per kg of the mixture, if 7 kg of rice at ₹40 per kg is mixed with 3 kg of rice at ₹50 per kg?
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25. What is the average value per kg of the mixture, if 7 kg of rice at ₹40 per kg is mixed with 3 kg of rice at ₹50 per kg?
Mathematics 📄 JOA IT (2026)
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Boost Your Himachal Pradesh mathematics Exam Preparation

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 5 | 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.