Question : For what value of M, 34M is divisible by 12?
Option 1: 2
Option 2: 0
Option 3: 8
Option 4: 6
Correct Answer: 8
Solution :
The divisibility rule of 12: the number should be divisible by 3 and 4.
The given number is 34M.
The sum of digits = 3 + 4 + M (should be divisible by 3)
Last two digits = 4M (should be divisible by 4)
Putting the value of M = 8, the number becomes 348.
3 + 4 + 8 = 15 (exactly divisible by 3)
Last two digits, 48 (divisible by 4)
Thus, 348 is divisible by 12 and M = 8
Hence, the correct answer is 8.
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