Quantitative Apitude-H.C.F & L.C.M. of Numbers

Quantitative Apitude-H.C.F & L.C.M. of Numbers
51. The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
  • 1677
  • 1683
  • 2523
  • 3363
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52. 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 again at the starting point ?
  • 26 minutes and 18 seconds
  • 42 minutes and 36 seconds
  • 45 minutes
  • 46 minutes and 12 seconds
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53. The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
  • 279
  • 283
  • 308
  • 318
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54. What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
  • 196
  • 630
  • 1260
  • 2520
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55. The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
  • 1008
  • 1015
  • 1022
  • 1032
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56. 252 can be expressed as a product of primes as:
  • 2 x 2 x 3 x 3 x 7
  • 2 x 2 x 2 x 3 x 7
  • 3 x 3 x 3 x 3 x 7
  • 2 x 3 x 3 x 3 x 7
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57. The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:
  • 15 cm
  • 25 cm
  • 35 cm
  • 42 cm
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58. Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:
  • 75
  • 81
  • 85
  • 89
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59. Find the highest common factor of 36 and 84.
  • 4
  • 6
  • 12
  • 18
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60. Which of the following fraction is the largest ?
  • 7/8
  • 13/16
  • 31/40
  • .63/80
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