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?

Updated On: Oct 3, 2024
  • 7, 8
  • 8,6
  • 6,4
  • 5,4
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The Correct Option is C

Solution and Explanation

Expression : M39048458N
For above number to be divided by 8, the last three digits, i.e. 58N58N must be divided by 8, N=4
Now, for the number M39048458NM39048458N 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(3 +5+8+0+4)=20
Sum of odd digits =(8+4+4+9+M)=(25+M)(8 +4+4+9+M)=(25+M)
required difference =(25+M)20=11(25 +M)−20 =11
M=6M=6
Therefore, (M,N)=(6,4)(M,N) =(6,4)
The correct answer is (C): 6,4

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