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What should replace * in the number 94*2357, so that numberis divisible by 11?
1
7
8
3
To determine which digit should replace *, we use the divisibility rule for 11. According to this rule, a number is divisible by 11 if the difference between the sum of its digits in odd positions and the sum of its digits in even positions is a multiple of 11 (including zero).
- The original number is 94*2357.
- Sum of digits at odd positions: 9 + * + 3 + 7 = 19 + *
- Sum of digits at even positions: 4 + 2 + 5 = 11
- Difference: (19 + *) - 11 = 8 + *
- Find a value for * such that 8 + * is a multiple of 11.
Let's evaluate the options:
1. If * = 1, 8 + 1 = 9 (Not a multiple of 11)
2. If * = 7, 8 + 7 = 15 (Not a multiple of 11)
3. If * = 8, 8 + 8 = 16 (Not a multiple of 11)
4. If * = 3, 8 + 3 = 11 (A multiple of 11)
The correct option is Option 4: 3.
.
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