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Question 126

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

Solution

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 $$M390484584$$ 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 = $$(25+M)-20=11$$

=> $$M=6$$

$$\therefore$$ $$(M,N)=(6,4)$$

=> Ans - (C)

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