Question

Пятеро мальчиков обсуждали свойства числа 325.Андрей: Это трёх значное число Боря: Все цифры этого числа различны Витя: сумма его цифр равна 10Гриша: Цифра единиц равна 5Даня: Все его цифры нечётны Кто из мальчиков ошибся?

Answer 1

Даня, потому что 2-четное число.

Answer 2

Даня ошибся, цифра 2 - четная

Answer 3

Analysis of the Properties of the Number 325

Let's analyze the properties of the number 325 based on the statements made by the five boys: Andrey, Borya, Vitya, Grisha, and Danya.

1. Andrey: "This is a three-digit number." - Andrey states that the number 325 is a three-digit number.

2. Borya: "All the digits of this number are different." - Borya claims that all the digits in the number 325 are different.

3. Vitya: "The sum of its digits is 10." - Vitya states that the sum of the digits in the number 325 is equal to 10.

4. Grisha: "The units digit is 5." - Grisha claims that the units digit of the number 325 is 5.

5. Danya: "All the digits of this number are odd." - Danya states that all the digits in the number 325 are odd.

Analyzing the Statements

Let's analyze each statement to determine if any of the boys made an incorrect claim.

1. Andrey's statement: "This is a three-digit number." - Andrey's statement is correct. The number 325 is indeed a three-digit number.

2. Borya's statement: "All the digits of this number are different." - Borya's statement is correct. The digits 3, 2, and 5 in the number 325 are all different.

3. Vitya's statement: "The sum of its digits is 10." - Vitya's statement is incorrect. The sum of the digits in the number 325 is 3 + 2 + 5 = 10, not 10. Therefore, Vitya made an error in his claim.

4. Grisha's statement: "The units digit is 5." - Grisha's statement is correct. The units digit of the number 325 is indeed 5.

5. Danya's statement: "All the digits of this number are odd." - Danya's statement is incorrect. The digit 2 in the number 325 is even, not odd. Therefore, Danya made an error in his claim.

Conclusion

Based on the analysis of the statements made by the five boys, it can be concluded that Vitya and Danya made incorrect claims about the properties of the number 325. Vitya incorrectly stated that the sum of the digits is 10, while Danya incorrectly stated that all the digits are odd.