Question
What is the highest possible sum of (m + n) if the
number '9m813n2' is divisible by 12?Solution
ATQ,
A number is divisible by 12 if it is divisible by both 3 and 4.
A number is divisible by 4 when the last two digits of the number are divisible by 4.
'n2' is divisible by 4 when 'n' = 0, 2, 4, 6, or 8.
Since we have to find the maximum value, so 'n' = 8.
A number is divisible by 3 when the sum of its digits is divisible by 3.
So, (9 + m + 8 + 1 + 3 + 8 + 2) = (31 + m) must be divisible by 3.
So, 'm' = 2, 5, or 8.
Since we have to find the maximum value, so 'm' = 8.
Therefore, required value = 8 + 8 = 16 .
GPS stands forints are of the height100cms?
Which Indian state celebrates the Bohada mask festival, showcasing a rich tradition of masks and dances?
Identify the longest national highway in India.
Who is the first bowler to take 10 wickets in an innings?
Who is the Prime Minister of the United Kingdom(UK)?
The Passenger – India Book is written by?
Which one of the following pairs is not correctly matched?
Russell Trophy is related to which game?
When is UN Day celebrated?
In how many cities did Maharaja Jai Singh II build Jantar Mantar?
