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If the given number 925x85 is divisible by 11, then the smallest value of x is:
1
2
3
4
To determine if a number is divisible by 11, subtract the sum of the digits in even positions from the sum of the digits in odd positions. The result must be zero or a multiple of 11.
- Number: 925x85
- Odd place digits: 9, 5, 8
- Even place digits: 2, x, 5
Calculate:
- Odd sum = 9 + 5 + 8 = 22
- Even sum = 2 + x + 5 = 7 + x
For divisibility by 11:
- |22 - (7 + x)| should be 0 or a multiple of 11
- Simplify: 22 - 7 - x = 15 - x
- 15 - x = 11 gives x = 4
Correct Answer:
- Option 4: 4
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