Question

What is the value of M and N respectively if M39048458N is divisible by 8 and 11, where M and N are single digit integers?

• A. 7, 8
• B. 8,6
• C. 6,4
• D. 5,4

Answer 1

The Correct Option is C

Expression : M39048458N
For above number to be divided by 8, the last three digits, i.e. \(58N\) must be divided by 8, N=4
Now, for the number \(M39048458N\) to be divided by 11, difference between sum of even digits and sum of odd digits must be divided by 11.
Sum of even digits =\((3 +5+8+0+4)=20\)
Sum of odd digits =\((8 +4+4+9+M)=(25+M)\)
required difference =\((25 +M)−20 =11\)
\(M=6\)
Therefore, \((M,N) =(6,4)\)
The correct answer is (C): 6,4