Question
‘N’ is the largest three-digit number that leaves 2 as
a remainder when divided by 11, 13 and 4. Find the sum of digits of ‘N’.Solution
LCM of (11, 13 and 4) = 572
Largest 3-digit number that is divisible by 572 = 572 × 1 = 572
So, N = 572 + 2 = 574
So, sum of digits of 'N' = 5 + 7 + 4 = 16
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