Question
Download Solution PDFThe largest five-digit number which when divided by 7, 9 and 11, leaves the same remainder as 3 in each case, is :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The required largest five-digit number when divided by 7, 9, and 11, leaves the same remainder as 3.
Concept used:
LCM is the smallest common multiple of two or more numbers.
Calculation:
LCM(7, 9, 11) = 693
Largest five-digit number = 99999
Quotient when 99999 is divided by 693 = 144
The largest five-digit number that is divisible by 7, 9, and 11 = 144 × 693 = 99792
Now, the required number = 99792 + 3 = 99795
∴ The required number is 99795.
Last updated on Jun 13, 2025
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