Given 4 numbers as follows:
- 94
- 80
- 38
- 17
If these numbers are divided by 7, the remainder is 3, and if divided by 2, the remainder is 1.
Among the four numbers, which ones are incorrect?
Explanation
We will check each number based on the two given conditions:
- Condition 1: Divided by 7, the remainder is 3.
- Condition 2: Divided by 2, the remainder is 1 (meaning it is an odd number).
Checking Number 1 (94)
- Divided by 7: 94÷7=13 remainder 3 (Satisfies condition 1).
- Divided by 2: 94 is an even number, so 94÷2 remainder 0 (Does not satisfy condition 2).
Conclusion: Number 94 is incorrect.
Checking Number 2 (80)
- Divided by 7: 80÷7=11 remainder 3 (Satisfies condition 1).
- Divided by 2: 80 is an even number, so 80÷2 remainder 0 (Does not satisfy condition 2).
Conclusion: Number 80 is incorrect.
Checking Number 3 (38)
- Divided by 7: 38÷7=5 remainder 3 (Satisfies condition 1).
- Divided by 2: 38 is an even number, so 38÷2 remainder 0 (Does not satisfy condition 2).
Conclusion: Number 38 is incorrect.
Checking Number 4 (17)
- Divided by 7: 17÷7=2 remainder 3 (Satisfies condition 1).
- Divided by 2: 17 is an odd number, so 17÷2 remainder 1 (Satisfies condition 2).
Conclusion: Number 17 is correct.
Final Conclusion
The question asks which numbers are incorrect. Based on the check above, the numbers that do not satisfy both conditions are numbers (1), (2), and (3).