The three-digit even numbers meeting the condition "if 5 is one digit, then 7 is the next digit" are 325 and 345, making options b and c correct.
To form three-digit even numbers with the given condition, we need to consider all possible arrangements where 5 is one of the digits and 7 is the next digit. The last digit must be even, so the options are:
1. 5 _ 7 (the last digit can be 0, 2, 4, 6, or 8)
Let's evaluate the provided options:
a. 5: This is a two-digit number, not a three-digit number.
b. 325: This meets the condition. The last digit is 2 (even).
c. 345: This meets the condition. The last digit is 4 (even).
d. 365: This does not meet the condition because the last digit is 6 (odd).
Therefore, the correct options are b and c. So, the answer is:
b. 325
c. 345