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Q: Find the sum of the numbers between 400 and 500 such that when 8, 12, and 16 divide them, it leaves 5 as remainder in each case.
  • A. 932
  • B. 912
  • C. 942
  • D. 922
Correct Answer: Option D - LCM of 8, 12 and 16 = 48 Number between 400 and 500 which are divisible by 48 = 432 + 480 Required number = (432 + 5), (480 + 5) = 437, 485 Sum of Number = 437 + 485 = 922
D. LCM of 8, 12 and 16 = 48 Number between 400 and 500 which are divisible by 48 = 432 + 480 Required number = (432 + 5), (480 + 5) = 437, 485 Sum of Number = 437 + 485 = 922

Explanations:

LCM of 8, 12 and 16 = 48 Number between 400 and 500 which are divisible by 48 = 432 + 480 Required number = (432 + 5), (480 + 5) = 437, 485 Sum of Number = 437 + 485 = 922