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Himachal Pradesh mathematics - Practice Mock Test Set 1

1. Ramesh sells 1 pen at 10 and 4 pens at 20 each. What is the average price (in) per pen sold?
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2. Vijay invested 1260 at 6% per annum simple interest in a bank. What amount (in) will he get after 6 years?
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3. If ₹5,000 is invested at a rate of 5% per annum compounded annually for 2 years, what will be the interest earned at the end of 2 years?
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4. The graph below shows the number of students participating in different sports activities from five schools (P, Q, R, S and T) during two years, 2024 and 2025. What is the increase in the total number of students for School Q and School S from 2024 to 2025?
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5. If a four-digit number 87x4 is divisible by 9, find the value of x.
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6. Simplify: 375 ÷ [150 - {10 × 7 + (53 - 8 × 6)}]
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7. Priya's salary is ₹1200. If she spends 15% on groceries and saves the rest, how much does she save (in)?
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8. During a sale, 50% of the goods are sold at 29% profit, 20% of the remaining goods are sold at 41% profit and the still remaining goods are sold at a loss of 39%. If there is an overall profit of x%, then what is the value of x?
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9. An article's marked price is ₹3,600, the shopkeeper offers three successive discounts of 20%, 15% and 8%. Find the selling price of the article after the three successive discounts.
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10. Which of the following ratio is equivalent to 9:16?
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11. A can lay a railway track between two stations in 20 days, while B can do the same work in 13 days. With the help of C, they complete the job in just 3 days. In how many days can C alone finish the work?
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12. A motorboat, whose speed is 10 kmph in still water, goes 20 km downstream and comes back in a total of 4 hours 30 minutes. The approximate speed of the stream (in kmph) is:
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13. 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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14. 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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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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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 1 | 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.