VTMO 2026 - Grade 2 - Semifinal - SET 7 - Self-study Question 6

Question 6

Five consecutive natural numbers have an odd sum. Which statement below is false?

1. The product of the five numbers is even.
2. The difference between the largest and smallest numbers is even.
3. Three of the numbers are odd and two are even.
4. The smallest number is odd.
5. The sum of the smallest and largest numbers is odd.