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Find the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case, but when divided by 9 leaves no remainder.

Class 10HCF and LCMNumber Systems
  • A1683
  • B1853
  • C3366
  • D1513

Step-by-Step Solution

LCM(5,6,7,8) = 840. Number = 840k + 3 must be divisible by 9. For k=1: 843 (8+4+3=15, no). k=2: 1683, digit sum 18 divisible by 9. So 1683.
Answer: A) 1683

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