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Answer :
To find a possible value for the positive number [tex]\( z \)[/tex], we need to determine which of the given options, when divided by 8, leaves a remainder of 0. This means that [tex]\( z \)[/tex] should be a multiple of 8.
We will check each option:
1. Option A: 10
- When 10 is divided by 8, it leaves a remainder of 2. Therefore, 10 is not a multiple of 8.
2. Option B: 15
- When 15 is divided by 8, it leaves a remainder of 7. Therefore, 15 is not a multiple of 8.
3. Option C: 44
- When 44 is divided by 8, it leaves a remainder of 4. Therefore, 44 is not a multiple of 8.
4. Option D: 72
- When 72 is divided by 8, it leaves a remainder of 0. Therefore, 72 is a multiple of 8.
5. Option E: 87
- When 87 is divided by 8, it leaves a remainder of 7. Therefore, 87 is not a multiple of 8.
Among the options given, only 72 is divisible by 8 without leaving any remainder. Therefore, a possible value for [tex]\( z \)[/tex] is 72.
We will check each option:
1. Option A: 10
- When 10 is divided by 8, it leaves a remainder of 2. Therefore, 10 is not a multiple of 8.
2. Option B: 15
- When 15 is divided by 8, it leaves a remainder of 7. Therefore, 15 is not a multiple of 8.
3. Option C: 44
- When 44 is divided by 8, it leaves a remainder of 4. Therefore, 44 is not a multiple of 8.
4. Option D: 72
- When 72 is divided by 8, it leaves a remainder of 0. Therefore, 72 is a multiple of 8.
5. Option E: 87
- When 87 is divided by 8, it leaves a remainder of 7. Therefore, 87 is not a multiple of 8.
Among the options given, only 72 is divisible by 8 without leaving any remainder. Therefore, a possible value for [tex]\( z \)[/tex] is 72.
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