Mathematics : Math Misc

If 604__6 is divisible by 11, then the integer in the blank space is , If 604__6 is divisible by 11, then the integer in the blank space is

If 604__6 is divisible by 11, then the integer in the blank space is




Solution
D. 5



Explanation
Since, a number is divisible by 11 if the difference between the sum of the even number digits and odd number digits is 0 or multiples of 11. Let for least value of unknown, (6 + 4 + 6) – (0 + x) = 0 or 11 16 – x = 11 x = 16 – 11 = 5 Thus, 60456 is divisible by 11.
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