Question

A man has a job which requires him to work 8 straight days and rest on the ninth day. If he started work on a Monday, the 12th time he rests will be on what day of the week ?

• A. Sunday
• B. Wednesday
• C. Tuesday
• D. Friday

Answer 1

The Correct Option is B

The work-rest cycle the man follows is 8 consecutive workdays followed by 1 rest day. Therefore, the complete cycle lasts for 9 days. To determine on which day of the week the man will rest for the 12th time, we first need to identify the total number of days involved.

Given that he rests every 9th day, the 12th rest day would be on the day:

12 × 9 = 108th day.

Since he started work on a Monday, we need to find out what day of the week it will be on the 108th day. We do this by calculating the remainder when 108 is divided by 7, as there are 7 days in a week:

108 ÷ 7 = 15 remainder 3.

This remainder, 3, indicates how many days after Monday the 108th day falls. Counting three days from Monday:

• Monday (Day 0)
• Tuesday (Day 1)
• Wednesday (Day 2)
• Thursday (Day 3)

Therefore, the 108th day, which is the 12th time he rests, will be on a Wednesday.