1. The HCF of 36 and 60 is 12. What is their LCM?
2. Find the smallest five-digit number that is divisible by 12, 15, and 18.
3. What is the least number that must be added to 4321 to make it divisible by 9?
4. A train travels 100 meters in 10 seconds. What is the speed of the train in km/h?
5. If the LCM of two numbers is 120 and their HCF is 10, what is the product of the two numbers?
6. What is the LCM of 8 and 12?
7. At what time between 9:00 and 10:00 will the hands of the clock be in a straight line?
8. A person buys an article for ₹800 and sells it at a profit of 20%. If the selling price is increased by 10%, what will be the new profit percentage?
9. A train 500 meters long is running at a speed of 36 km/h. How much time will it take to cross a platform 200 meters long?
10. What is the smallest 5-digit number divisible by 3?
11. A person travels from A to B at a speed of 60 km/h and returns from B to A at a speed of 40 km/h. What is the average speed for the entire journey?
12. What is the HCF of 24 and 36?
13. If the HCF of two numbers is 8 and their LCM is 72, and one of the numbers is 24, find the other number.
14. The radius of a sphere is 10 cm. What is the volume of the sphere?
15. A car travels 60 km in 1 hour and 30 minutes. What is its average speed in km/h?
16. The slip of an induction motor is defined as:
17. A 60 W bulb is used for 10 hours. How much energy does it consume in kilowatt-hours (kWh)?
18. What is the power factor in an AC circuit?
19. Which of the following materials is used as the core material in transformers?
20. The fuel used in nuclear reactors is primarily:
21. A stepper motor is classified as a:
22. What is the total resistance in a series circuit?
23. In a series circuit, the total current is:
24. What is the primary function of a transformer?
25. In an induction motor, the rotor is made of:
26. Differential protection is commonly used for:
27. The error in measurement due to the instrument itself is called:
28. The fault current is typically detected by:
29. In an electric circuit, what does the symbol "Ω" represent?
30. In an AC circuit, the voltage and current waveforms are typically:
