From 13-10-2017 to 18-05-2018 = 18 + 30 + 31 + 31 + 28 + 31 + 30 + 18 = 217 days

Given:
Date 1: 13-10-2017 (Friday)
Date 2: 18-05-2018 (unknown day)

To determine the day of the week for Date 2, we need to find the number of days between Date 1 and Date 2.

Calculating the Number of Days:
First, let's calculate the number of days in each month from October 2017 to May 2018:

October 2017: 18 remaining days (31 - 13)
November 2017: 30 days
December 2017: 31 days
January 2018: 31 days
February 2018: 28 days (assuming it's not a leap year)
March 2018: 31 days
April 2018: 30 days
May 2018: 18 days

Now, let's calculate the number of days in the full months:
October 2017 to May 2018: 18 + 30 + 31 + 31 + 28 + 31 + 30 + 18 = 218 days

Calculating the Remaining Days:
Next, let's calculate the remaining days from Date 2 (18-05-2018) after the last full month (May 2018):

Remaining days: 18 (from May 2018)

Calculating the Total Number of Days:
To find the total number of days between Date 1 and Date 2, we add the number of days in the full months and the remaining days:

Total days: 218 + 18 = 236 days

Dividing the Total Days:
Since there are 7 days in a week, we can divide the total number of days by 7 to find the remainder:

236 ÷ 7 = 33 remainder 5

The remainder represents the number of days after the last full week. As Date 1 is a Friday, we need to count 5 days forward to determine the day of the week for Date 2.

Friday -> Saturday -> Sunday -> Monday -> Tuesday -> Wednesday

Therefore, the day of the week for 18-05-2018 is Wednesday (option C).