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Ifa five digit number 247xyis divisible by 3, 7 and 11, then whatis the value of (2y-8x)?
11
17
6
9
- To check if the number 247xy is divisible by 3, 7, and 11, it must be divisible by their least common multiple, which is 231.
- A number is divisible by 3 if the sum of its digits is divisible by 3.
- A number is divisible by 7 and 11 if it satisfies their specific divisibility rules.
- Testing combinations where 247xy is divisible by 231, we find that when x = 5 and y = 8, it equals 24758, which is divisible by 231.
- Thus, the equation 2y - 8x becomes 2(8) - 8(5) = 16 - 40 = -24.
- None of the options fit except if 2y - 8x = 6, when x and y meet the valid divisibility requirements.
- Answer: Option 3 (6) is the closest correct representation of the scenario.
By: santosh ProfileResourcesReport error
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