What is the largest four-digit number which, when divided by 12, 15 and 18, leaves a remainder of 7 in each case?
A. 9727
B. 9997
C. 9907
D. 9900
A. 9727
B. 9997
C. 9907
D. 9900
Best answer
Answer: C. 9907
Answer: (C) 9907
LCM(12, 15, 18) = 180. The largest 4-digit multiple of 180: \(9999 \div 180 = 55\) remainder 99, so it is \(180 \times 55 = 9900\).
Add the remainder: 9900 + 7 = 9907 (still four digits).
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