Number System

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  1. Two numbers have an HCF of 6 and LCM of 72. If one number is 18, find the other number.
  2. The product of two numbers is 360 and their HCF is 9. Find their LCM.
  3. Two numbers are such that their LCM is 120 and HCF is 8. One number is 24. Find the other number.
  4. The HCF of two numbers is 7 and their LCM is 231. If one number is 21, find the other number.
  5. Two numbers have an HCF of 5 and their product is 900. Find their LCM.
  6. The LCM of two numbers is 180 and their product is 3240. Find their HCF.
  7. If the HCF of two numbers is 4 and one number is 28, and their LCM is 84, find the other number.
  8. Two numbers have an HCF of 12 and LCM of 252. If one number is 36, find the other number.
  9. The product of two numbers is 540 and their LCM is 90. Find their HCF.
  10. Two numbers have an HCF of 10 and their product is 2000. Find their LCM.
  11. The LCM of two numbers is 90 and one number is 30. If their HCF is 6, find the other number.
  12. Two numbers have a product of 450 and HCF of 15. Find their LCM.
  13. The HCF of two numbers is 9 and their LCM is 270. If one number is 54, find the other number.
  14. Two numbers have an HCF of 8 and LCM of 192. If one number is 24, find the other number.
  15. The product of two numbers is 840 and their HCF is 12. Find their LCM.
  16. The LCM of two numbers is 150 and one number is 30. If their HCF is 6, find the other number.
  17. Two numbers have an HCF of 7 and product 147. Find their LCM.
  18. The product of two numbers is 900 and their LCM is 180. Find their HCF.
  19. The HCF of two numbers is 14 and one number is 42. Their LCM is 210. Find the other number.
  20. Two numbers have an HCF of 5 and product 625. Find their LCM.
  1. Two trains leave at intervals of 18 and 24 minutes. After how many minutes will they leave together again?
  2. Two machines operate at intervals of 15 and 20 hours. When will they operate simultaneously again if they started at the same time?
  3. Two bells ring at intervals of 12 and 16 seconds. After how many seconds will they ring together?
  4. Two traffic lights flash every 45 and 60 seconds respectively. When will they flash together again?
  5. Two water tanks are filled by two pipes that fill every 30 and 40 minutes. When will they be full simultaneously?
  6. Two runners start from the same point and run around a track taking 9 and 12 minutes to complete a lap. When will they meet again at the starting point?
  7. Two light bulbs blink at intervals of 20 and 25 seconds. When will they blink together again?
  8. Two employees receive their salary every 15 days and 20 days respectively. After how many days will they receive salary on the same day?
  9. Two buses start simultaneously and arrive at a stop every 18 and 30 minutes. When will they arrive together again?
  10. Two water pumps work alternatively every 6 and 8 hours. When will both pumps operate together?
  11. Two factories produce cars in batches every 36 and 48 hours. When will they finish a batch simultaneously?
  12. Two bells ring every 8 and 12 minutes. When will they ring together next?
  13. Two workers finish a task in 24 and 30 days. Find the time when both will finish a cycle together.
  14. Two batteries need charging every 10 and 15 days. When will they require charging on the same day?
  15. Two lamps blink every 5 and 7 seconds. When will they blink together again?
  16. Two trains depart at intervals of 20 and 35 minutes. After how long will they depart together again?
  17. Two machines require maintenance every 18 and 24 days. When will they need maintenance simultaneously?
  18. Two clocks ring every 4 and 6 hours. When will they ring together again?
  19. Two buses reach the bus stop every 10 and 15 minutes. After how many minutes will they arrive together again?
  20. Two lights blink every 30 and 40 seconds. When will they blink together again?
  1. Two numbers have an HCF of 3 and an LCM of 180. If one number is 15, find the other number.
  2. Two numbers have an HCF of 4 and LCM 96. One number is 24. Find the other number.
  3. Two numbers have product 540 and HCF 6. Find their LCM.
  4. The HCF of two numbers is 5 and product 625. Find their LCM.
  5. Two numbers have an LCM of 120 and one number is 20. Their HCF is 4. Find the other number.
  6. Two numbers have an HCF of 9 and LCM 252. One number is 36. Find the other number.
  7. The product of two numbers is 840 and their HCF is 12. Find their LCM.
  8. Two numbers have an HCF of 7 and LCM 231. One number is 21. Find the other number.
  9. Two numbers have product 360 and HCF 6. Find their LCM.
  10. The HCF of two numbers is 8 and their LCM is 192. One number is 24. Find the other number.
  11. Two numbers have an HCF of 10 and product 2000. Find their LCM.
  12. Two numbers have an LCM of 90 and one number is 30. Their HCF is 6. Find the other number.
  13. Two numbers have product 450 and HCF 15. Find their LCM.
  14. The HCF of two numbers is 12 and their LCM is 252. One number is 36. Find the other number.
  15. Two numbers have an HCF of 4 and LCM 84. One number is 28. Find the other number.
  16. The product of two numbers is 540 and their LCM is 90. Find their HCF.
  17. Two numbers have an HCF of 6 and LCM 72. One number is 18. Find the other number.
  18. Two numbers have an HCF of 8 and product 1280. Find their LCM.
  19. Two numbers have product 360 and HCF 12. Find their LCM.
  20. The HCF of two numbers is 15 and their product is 675. Find their LCM.
  1. Two ropes of length 12 m and 18 m are cut into pieces of equal length. Find the greatest length of each piece.
  2. Two wheels rotate 20 and 30 times per minute respectively. Find the number of rotations after which they align again.
  3. Two containers fill every 15 and 20 minutes. Find the time when both are full simultaneously.
  4. Two farmers harvest every 8 and 12 days respectively. When will they harvest together?
  5. Two bells ring every 10 and 15 minutes. Find when they ring together.
  6. Two buses leave at intervals of 40 and 50 minutes. When will they leave together?
  7. Two machines work every 24 and 36 hours. When do they work simultaneously?
  8. Two light signals blink every 20 and 30 seconds. When will they blink together again?
  9. Two employees get paid every 10 and 15 days. After how many days will they get paid together?
  10. Two lamps blink every 7 and 9 seconds. When will they blink together?
  11. Two workers rest every 3 and 5 hours. When will their rest periods coincide?
  12. Two cyclists start at the same time and complete a lap in 15 and 20 minutes. When will they meet?
  13. Two buses arrive every 12 and 18 minutes. When will they arrive together?
  14. Two clocks ring every 4 and 6 hours. When will they ring together?
  15. Two machines require oiling every 30 and 40 days. When will they be oiled together?
  16. Two fans rotate every 20 and 30 seconds. When will they align again?
  17. Two friends meet every 15 and 20 days. When will they meet together?
  18. Two water pumps run every 6 and 8 hours. When will they start together?
  19. Two runners run every 9 and 12 minutes. When will they cross the starting point?
  20. Two buses start at the same time and run every 10 and 15 minutes. When will they arrive together?
  1. Two numbers have product 840 and HCF 12. If one number is 4 times the other, find both numbers.
  2. Two numbers have an LCM of 180 and HCF 6. If one number is 54, find the other.
  3. The ratio of two numbers is 3:5, their HCF is 4. Find their LCM.
  4. Two numbers differ by 18 and their HCF is 6. Their LCM is 216. Find the numbers.
  5. Two numbers are in the ratio 7:9 and their product is 1782. Find their HCF and LCM.
  6. The LCM of two numbers is 168 and their HCF is 7. If one number is 28, find the other number.
  7. Two numbers are such that one is twice the other and their HCF is 7. If their product is 588, find the numbers.
  8. Two numbers have an HCF of 8 and their product is 1024. One number is twice the other. Find the numbers.
  9. Two numbers are in the ratio 5:8 and their HCF is 6. Find their LCM.
  10. The difference between two numbers is 4 and their HCF is 6. Their LCM is 72. Find the numbers.
  11. Two numbers have an HCF of 10 and their product is 1000. If one number is 40, find the other number.
  12. The product of two numbers is 1728 and their HCF is 12. Find their LCM.
  13. Two numbers are in the ratio 2:3 and their LCM is 60. Find their HCF.
  14. The sum of two numbers is 35 and their HCF is 7. Their LCM is 84. Find the numbers.
  15. Two numbers have an HCF of 9 and their product is 3240. Find their LCM.
  16. The ratio of two numbers is 4:5 and their HCF is 3. Find the numbers if their product is 1800.
  17. Two numbers have an LCM of 84 and HCF 6. If one number is 42, find the other number.
  18. The difference between two numbers is 5 and their HCF is 3. Their LCM is 180. Find the numbers.
  19. Two numbers have product 630 and HCF 7. Find their LCM.
  20. The sum of two numbers is 48 and their HCF is 6. Their LCM is 144. Find the numbers.

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