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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?

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1. Q1: Profit = ₹1000 − ₹800 = ₹200. Profit % = (Profit / Cost Price) × 100 = (200 / 800) × 100 = 25%.
2. Q2: 3x + 7 = 22 ⇒ 3x = 15 ⇒ x = 5.
3. Q3: Approximately 3 × 10⁵ km/s, i.e. about 3,00,000 km/s (more precisely 2,99,792 km/s) in a vacuum.
4. Q4: Saturn currently holds the record with 146 confirmed moons (as of recent counts), recently overtaking Jupiter.
5. Q5: √144 = 12, since 12 × 12 = 144.
6. Q6: Let the number be x. 35% of x = 70 ⇒ 0.35x = 70 ⇒ x = 70 / 0.35 = 200.
7. Q7: 5(x − 2) = 3x + 4 ⇒ 5x − 10 = 3x + 4 ⇒ 2x = 14 ⇒ x = 7.
8. Q8: The Ganga (Ganges) is the longest river flowing entirely within India, about 2,525 km long.
9. Q9: Au — from the Latin 'aurum'.
10. Q10: cos 60° = sin(90° − 60°) = sin 30° = 1/2.
11. Q11: Vitamin D — synthesised in the skin when ultraviolet B (UVB) rays from the sun strike it.
12. Q12: Newton (N). 1 N = 1 kg·m/s².
13. Q13: Dr. Rajendra Prasad — he served as the first President of India from 1950 to 1962.
14. Q14: Total balls = 5 + 3 + 2 = 10. Favourable (green) = 3. Probability = 3/10 = 0.3.
15. Q15: 15% of 200 = (15/100) × 200 = 30.

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