Question

В числе 378* замените "звездочку" цифрой так, чтобы полученное число: а) делилось на 2, б) делилось на 5, но не делилось на 2.

Answer 1

а) 3780 3782 3784 3786 3788

б)3785

Answer 2

а)3788

б)3785

Такие могт подойти , но моно выбрать еще варианты на а, например

3786 3784 3782 3780

Answer 3

To find the missing digit represented by the "star" in the number 378*, we need to check the divisibility properties of the numbers that we want to achieve (divisible by 2 and divisible by 5 but not divisible by 2).

a) Divisible by 2: A number is divisible by 2 if its last digit is even. Since the last digit is represented by the "star" in 378*, it should be an even digit (0, 2, 4, 6, or 8) for the number to be divisible by 2.

b) Divisible by 5 but not divisible by 2: A number is divisible by 5 if its last digit is 0 or 5. However, since we also want the number to be not divisible by 2, it cannot end with 0. So, the last digit should be 5 for the number to be divisible by 5 but not by 2.

Now, let's see which number satisfies both conditions:

a) Divisible by 2: The last digit should be an even number, so the number can be 3780 or 3782 or 3784 or 3786 or 3788.

b) Divisible by 5 but not divisible by 2: The last digit should be 5, so the number can be 3785.

So, the missing digit in the number 378* is 5.

a) 3785 is divisible by 2 because 5 is an even number. b) 3785 is divisible by 5 because the last digit is 5, but it is not divisible by 2.

Note: The original number 3785 is already divisible by 5 and not divisible by 2.