Find the least number which when divided by 6, 7, 8, 9 and 10 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 19 leaves no remainder?

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Question:
Find the least number which when divided by 6, 7, 8, 9 and 10 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 19 leaves no remainder?

1.5073

2.5016

3.5054

4.5035

Posted Date:-2022-03-03 09:08:54

More MCQS Questions and answers

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  2. A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is?
  3. A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap?
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  6. Find the least multiple of 13 which when divided by 6, 8 and 12 leaves 5, 7 and 11 as remainders respectively?
  7. Find the least square number which is divisible by 10, 12, 15 and 18?
  8. Four bells begin to toll together respectively at the intervals of 8, 10, 12 and 16 seconds. After how many seconds will they toll together again?
  9. H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 24 * 35 * 52 * 72. The third number is:
  10. H.C.F of 4 * 27 * 3125, 8 * 9 * 25 * 7 and 16 * 81 * 5 * 11 * 49 is:
  11. HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is?
  12. If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocal of the numbers is equal to:
  13. In finding the HCF of two numbers, the last divisor was 41 and the successive quotients, starting from the first, where 2, 4 and 2. The numbers are?
  14. The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:
  15. The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?
  16. The least number of four digits which is divisible by 4, 6, 8 and 10 is?
  17. The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is:
  18. Which of the following has the most number of divisors?
  19. 1095/1168 when expressed in simplest form is:
  20. A drink vendor has 80 liters of Maaza, 144 liters of Pepsi and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required?
  21. A gardener was asked a plant flowers in a row containing equal number of plants. He tried to plant 6, 8, 10 and 12 in each row, but 5 plants left in each case. When he planted 13 in a row, no plant was left. Find the number of plants with him?
  22. A man was employed on the promise that he will be paid the highest wages per day. The contract money to be paid was Rs. 1189. Finally he was paid only Rs. 1073. For how many days did he actually work?
  23. A merchant has three different types of milk: 435 liters, 493 liters and 551 liters. Find the least number of casks of equal size required to store all the milk without mixing.
  24. A room is 4 meters 37 cm long and 3 meters 23cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose?
  25. A wholesale tea dealer 408 kilograms, 468 kilograms and 516 kilograms of three different qualities of tea. He wants it all to be packed into boxes of equal size without mixing. Find the capacity of the largest possible box?
  26. A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?
  27. Find the greatest 4-digit number exactly divisible by 3, 4 and 5?
  28. Find the greatest number of four digits which when divided by 10, 15, 21 and 28 leaves 4, 9, 15 and 22 as remainders respectively?
  29. Find the greatest number that exactly divides 35, 91 and 840?
  30. Find the greatest number that, while dividing 47, 215 and 365, gives the same remainder in each case?
  31. Find the greatest number which is such that when 697, 909 and 1227 are divided by it, the remainders are all the same?
  32. Find the greatest number which will divide 25, 73 and 97 as so to leave the same remainder in each case?
  33. Find the highest common factor of 36 and 84.
  34. Find the least number which when divide by 2, 3, 4, 5 and 6 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 7 leaves no remainder?
  35. Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?
  36. Find the least number which when divided by 6, 7, 8, 9 and 10 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 19 leaves no remainder?
  37. Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case?
  38. Find the lowest common multiple of 24, 36 and 40.
  39. Find the size of the largest square slabs which can be paved on the floor of a room 5 meters 44 cm long and 3 meters 74 cm broad?
  40. Find the smallest number which when increased by 5, divisible by 6, 9, 15, 20 and 24?
  41. Five bells first begin to toll together and then at intervals of 5, 10, 15, 20 and 25 seconds respectively. After what interval of time will they toll again together?
  42. Greatest Common Divisor of two numbers is 8 while their Least Common Multiple is 144. Find the other number if one number is 16.
  43. How many minimum number's of whole square slabs are required for paving the floor 12.96 meters long and 3.84 meters side?
  44. Least perfect square number, exactly divisible by 21, 36 and 56 is?
  45. Product of two co-prime numbers is 117. Their L.C.M should be:
  46. The G.C.D of 1.08, 0.36 and 0.9 is
  47. The greatest number of five digits which is divisible by 32, 36, 40, 42 and 48 is:
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  56. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
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