Practice test(Akansh 29 Aug)

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Akansh

  1. A student has some chocolates. When he distributes them equally among 8, 10, or 12 friends, he always has 7 left. Find the minimum number of chocolates.
  1. Find the least number which when divided by 25, 30, and 40 leaves remainder 20 in each case.
  1. The greatest number which divides 130 and 170 leaving remainders 3 and 7 respectively is?
  1. Find the greatest number that divides 370 and 460 leaving remainder 10 in each case.
  1. Find the greatest number that divides 105, 165, and 225 leaving the same remainder each time.
  1. Three numbers 123, 243, and 333 leave the same remainder when divided by a greatest number. Find that number.
  1. The product of two numbers is 180. If their HCF is 6, find their LCM.
  2. The HCF of two numbers is 18 and their LCM is 180. If one of the numbers is 90, find the other.
  3. The product of two numbers is 1456 and their HCF is 7. Find their LCM.
  4. If the LCM of two numbers is 168 and their HCF is 12, and one of the numbers is 84, find the other.
  5. The LCM and HCF of two numbers are 432 and 18 respectively. If one of the numbers is 54, find the other.
  6. A certain number is divided by 56. The quotient is 29 and the remainder is 38. Find the dividend.
  7. Find the divisor if the dividend is 971, quotient is 32, and remainder is 19.
  8. A certain number divided by 37 gives quotient 21 and remainder 16. Find the dividend.
  9. A number when divided by 85 leaves remainder 46 and quotient 38. Find the number.
  10. The divisor is 63, quotient 17, remainder 24. Find the dividend.
  11. A man distributed 765 mangoes equally among 24 children. How many mangoes did each child get and how many were left?
  12. Find the square root of 30976
  13. Find the square root of 48841
  14. Find the square root of 60025
  15. Find the square root of 79524
  16. Find the square root of 88209
  1. Divide 3456 by 24. Find quotient and remainder.
  2. Divide 7894 by 18. Find quotient and remainder.
  1. A shopkeeper sold 325 apples in the morning and 478 apples in the evening. How many apples did he sell in total?
  2. A factory produced 12,648 toys in January and 14,372 toys in February. How many more toys were produced in February than in January?
  3. The cost of one book is ₹245. What will be the cost of 36 books?
  4. A man had 27,500 rupees. He spent 12,985 rupees. How much money is left with him?
  5. A train travels 135 km in 1 hour. How far will it travel in 8 hours?
  6. A bus carries 54 passengers. How many passengers will 27 buses carry?
  7. A man had 92,348 rupees. He gave 48,976 rupees to his friend. How much money is left with him?
  8. A bag contains 325 chocolates. These chocolates are to be distributed equally among 25 children. How many chocolates will each child get?
  9. A farmer bought 275 bags of seeds. Each bag contains 48 kg of seeds. Find the total weight of the seeds.
  10. A shopkeeper sold 15,248 pencils in one month and 18,964 pencils the next month. Find the total number of pencils sold.

Akansh Answer 29 Aug Test:

  1. 127
  2. 620
  3. 1
  4. 90
  5. 60
  6. 30
  7. LCM = 30
  8. 36
  9. LCM = 208
  10. 24
  11. 144
  12. Dividend = 1662
  13. Divisor = (971 − 19) / 32 = 952/32 = 29.75 → not an integer (so no integer divisor; likely a typo in the question).
  14. Dividend = 793
  15. Number = 3276
  16. Dividend = 1095
  17. Each child gets 31, remainder 21
  18. √30976 = 176
  19. √48841 = 221
  20. √60025 = 245
  21. √79524 = 282
  22. √88209 = 297
  23. 3456 ÷ 24 → Quotient 144, Remainder 0
  24. 7894 ÷ 18 → Quotient 438, Remainder 10
  25. Total apples = 803
  26. February produced 1,724 more toys
  27. Cost of 36 books = ₹8,820
  28. Left = ₹14,515
  29. Distance in 8 hours = 1,080 km
  30. 27 buses carry 1,458 passengers
  31. Left = ₹43,372
  32. Each child gets 13 chocolates (no remainder)
  33. Total seeds = 13,200 kg
  34. Total pencils = 34,212

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