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A mock test is different from ordinary practice: the point isn't to learn a concept, it's to rehearse the exam itself — a fixed time limit, no pausing to look things up, and a single pass through every question before you see any answers. Set Test Mode with a timer matching your real exam's duration, answer everything in one sitting, then review the full breakdown at the end rather than getting feedback question by question.

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1. A shopkeeper bought an item for ₹800 and sold it for ₹1000. What is the profit percentage?
2. Find the value of x if 3x + 7 = 22.
3. The speed of light is approximately how many kilometres per second?
4. Which planet in our solar system has the most moons?
5. What is the square root of 144?
6. 35% of a number is 70. Find the number.
7. Solve: 5(x − 2) = 3x + 4.
8. Which is the longest river in India?
9. What is the chemical symbol for gold?
10. If sin 30° = 1/2, find the value of cos 60°.
11. Which vitamin is produced in the human body when skin is exposed to sunlight?
12. State the unit of force in the SI system.
13. Who was the first President of independent India?
14. A bag contains 5 red, 3 green and 2 blue balls. What is the probability of drawing a green ball?
15. What is 15% of 200?
16. Which is the smallest country in the world by area?
17. Find the next number in the series: 3, 9, 27, 81, ?
18. A car covers 150 km using 10 litres of fuel. What is its mileage in km/litre?
19. Which gas do plants absorb from the atmosphere during photosynthesis?
20. Convert 2.5 hours into minutes.
21. Who wrote the Indian national anthem?
22. If the perimeter of a square is 36 cm, find the length of one side.
23. What is the value of pi (π) rounded to two decimal places?
24. Which organ in the human body is primarily responsible for filtering blood?
25. A number increased by 20% becomes 60. Find the original number.
26. What is the freezing point of water in Celsius?
27. Simplify: 7 × (6 − 2) ÷ 4.
28. Which continent is the Sahara Desert located in?
29. If a clock shows 3:15, what is the angle between the hour and minute hands (approximately)?
30. Name the currency used in Japan.

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Quick-check answer key

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• Q1: Profit = ₹1000 − ₹800 = ₹200. Profit % = (Profit / Cost Price) × 100 = (200 / 800) × 100 = 25%.
• Q2: 3x + 7 = 22 ⇒ 3x = 15 ⇒ x = 5.
• Q3: Approximately 3 × 10⁵ km/s, i.e. about 3,00,000 km/s (more precisely 2,99,792 km/s) in a vacuum.
• Q4: Saturn currently holds the record with 146 confirmed moons (as of recent counts), recently overtaking Jupiter.
• Q5: √144 = 12, since 12 × 12 = 144.
• Q6: Let the number be x. 35% of x = 70 ⇒ 0.35x = 70 ⇒ x = 70 / 0.35 = 200.
• Q7: 5(x − 2) = 3x + 4 ⇒ 5x − 10 = 3x + 4 ⇒ 2x = 14 ⇒ x = 7.
• Q8: The Ganga (Ganges) is the longest river flowing entirely within India, about 2,525 km long.
• Q9: Au — from the Latin 'aurum'.
• Q10: cos 60° = sin(90° − 60°) = sin 30° = 1/2.
• Q11: Vitamin D — synthesised in the skin when ultraviolet B (UVB) rays from the sun strike it.
• Q12: Newton (N). 1 N = 1 kg·m/s².
• Q13: Dr. Rajendra Prasad — he served as the first President of India from 1950 to 1962.
• Q14: Total balls = 5 + 3 + 2 = 10. Favourable (green) = 3. Probability = 3/10 = 0.3.
• Q15: 15% of 200 = (15/100) × 200 = 30.
• Q16: Vatican City — about 0.49 square kilometres, making it the smallest sovereign state in the world.
• Q17: Each term is multiplied by 3, so the next number is 81 × 3 = 243.
• Q18: Mileage = distance / fuel used = 150 km / 10 L = 15 km/litre.
• Q19: Carbon dioxide (CO₂) — plants absorb it through tiny pores called stomata to use in photosynthesis.
• Q20: 2.5 hours × 60 minutes/hour = 150 minutes.
• Q21: Rabindranath Tagore wrote 'Jana Gana Mana', adopted as India's national anthem in 1950.
• Q22: Perimeter of a square = 4 × side, so side = 36 / 4 = 9 cm.
• Q23: π ≈ 3.14 (more precisely 3.14159...).
• Q24: The kidneys — they filter waste products and excess substances from the blood to form urine.
• Q25: Let the number be x. x + 20% of x = 60 ⇒ 1.2x = 60 ⇒ x = 50.
• Q26: 0 °C (32 °F) at standard atmospheric pressure.
• Q27: 7 × (6 − 2) ÷ 4 = 7 × 4 ÷ 4 = 28 ÷ 4 = 7.
• Q28: Africa — the Sahara is the largest hot desert in the world, spanning much of North Africa.
• Q29: Approximately 7.5°. Each minute mark represents 6° for the minute hand and 0.5° for the hour hand; at 3:15 the hour hand has moved a quarter of the way from 3 to 4, giving a small offset from the minute hand at the 3 mark.
• Q30: The Japanese Yen (¥).

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