Scheduling Puzzles — Days of the Week

Scheduling puzzles — हफ़्ते के दिन

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Scheduling Puzzles — Days of the Week

  • Puzzles
  • Scheduling Puzzles — Days of the Week
Hello दोस्तों! MeraExam की एक और class में आपका स्वागत है। आज का topic है — Scheduling puzzles — हफ़्ते के दिन। मैं promise करती हूँ, आज के बाद ये topic आपको आसान लगेगा। शुरू करें?
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Learning Objective

Assign events to weekdays using before/after and gap clues on a day-line.

🎯 Learning Objective

Assign events to weekdays using before/after and gap clues on a day-line.

💡 Concept

  • Days have a FIXED order — draw Mon to Sat as a line and fill it
  • 'Before' = any earlier day; 'immediately before' = the very previous day
  • 'Two events between X and Y' → X and Y are 3 days apart
  • Anchor the exact-day clue first, then slide before/after blocks around it
  • Mind the boundary — nothing can go before Monday or after the last day

🧮 Key Formulas

Events between X and Y = day gap − 1

✏️ Easy Example

Q. Five exams — Maths, Science, English, Hindi and GK — are held Monday to Friday, one per day. Science is on Monday and Maths is on Wednesday. Hindi is held immediately before English. On which day is the English exam?

  1. Fix Science = Mon, Maths = Wed
  2. Hindi-English need two consecutive free days → Thu-Fri
  3. GK takes Tue; English = Friday

Answer: Friday

🇮🇳 Real-Life Example

Weekly trains in the Railway timetable — one runs only on Tuesday, another only on Sunday. Matching each train to its day from the chart is a scheduling puzzle.

📝 Exam-Level Example

Q. Six trains A, B, C, D, E and F depart on six days, Monday to Saturday, one per day. C departs on Thursday. Exactly two trains depart between A and C. B departs immediately after A. D departs after B but before C. E does not depart on Saturday. Which train departs on Saturday?

  1. C = Thu; two trains between A and C → A = Mon
  2. B = Tue (right after A); D between B and C → Wed
  3. E avoids Saturday → E = Fri, F = Sat

Answer: Train F

🪄 Memory Trick

Number the days Mon = 1 to Sat = 6. 'Two between' becomes |x − y| = 3 — the puzzle turns into plain arithmetic.

⚠️ Common Mistakes

  • ❌ Counting the end days themselves when counting 'between'
  • ❌ Reading 'after' as 'immediately after'
  • ❌ Sliding a block past the week's boundary

🏆 Exam Tips

  • ✅ Anchor the exact-day clue first and build around it
  • ✅ Cross out each day as it fills — the leftover day answers the last clue

📌 Summary

  • Days form a fixed line — draw it
  • Immediately = the very next/previous day
  • n events between = gap of n + 1 days
  • Anchor first, blocks next, leftovers last
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