Day After/Before
Day After/Before problems ask: 'What day will it be N days after a given day?' or 'What day was it N days ago?' These problems test your understanding of the weekly cycle and modular arithmetic.
What You'll Learn
Introduction to Day After/Before
Day After/Before problems ask: 'What day will it be N days after a given day?' or 'What day was it N days ago?' These problems test your understanding of the weekly cycle and modular arithmetic.
Prerequisites
How to Solve Day After/Before Problems
Step 1: Identify the given day and the offset (N days)
Step 2: Determine direction: 'after' means future, 'before' means past
Step 3: Calculate odd days = N mod 7
Step 4: For 'after': add odd days to the given day's position number
Step 5: For 'before': subtract odd days from the given day's position number
Step 6: If result goes beyond 0-6 range, adjust by adding or subtracting 7
Step 7: Convert the resulting number back to the day name
Example Problem
Example 1: If today is Wednesday, what day will it be 15 days from now? Solution: Step 1: Given day = Wednesday (position 2 if Monday=0, or use direct) Step 2: Direction: after (future) Step 3: Odd days = 15 mod 7 = 1 Step 4: Wednesday + 1 day = Thursday Answer: Thursday Example 2: If today is Sunday, what day was it 25 days ago? Solution: Odd days = 25 mod 7 = 4. Sunday - 4 days = Wednesday Answer: Wednesday
Pro Tips & Tricks
- Any multiple of 7 days brings you back to the same day
- Odd days = N mod 7 (remainder when divided by 7)
- For 'after', move forward in the week cycle
- For 'before', move backward in the week cycle
- Common mappings: 1 day after = next day, 2 days after = day after next
- Use the rule: 7 days later = same day
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Day After/Before. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Day After/Before is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Day After/Before?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: