Which is the greatest three-digit number which when divided by 6, 9 and 12 leaves a remainder of 3 in each case? A. 975 B. 996 C. 939 D. 903 Answer Workspace Report Discuss Answer with explanation Answer: Option A Explanation Greatest three digit number = 999 LCM of 6, 9 and 12 LCM = 2 x 2 x 3 x 3 = 36 On dividing 999 by 36, Remainder = 27. ∴ The greatest three digit number divisible by 6, 9, and 12 = (999 – 27) = 972 As per the question, the required number is (972 + 3) = 975. Workspace
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