Question
Download Solution PDFFind the greatest 5-digit number which is divisible by 11, 33, 99, and 121.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
11, 33, 99, 121 divide the required largest five-digit numbers.
Concept used:
If any number N is divisible by a set of numbers a, b, c, d, e then N is also divisible by LCM of a, b, c, d, and e
Calculation:
The largest five-digit number is 99999
LCM of 11, 33, 99, 121 = 1089
As we know by the concept,
1089 should divide by either 99999 or the five-digit number nearest to 99999
When we divide 99999 by 1089, we get Reminder = 900
99999 - 900 = 99099
99099 is divisible by 1089
∴ 99099 is the largest five-digit number which is divisible by 11, 33, 99, 121.
Last updated on Jun 13, 2025
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