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10 River Crossing Questions and Answers

10 solved River Crossing questions with step-by-step explanations. Includes formulas, shortcuts, and tips for placement tests and competitive exams.

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Practice river crossing questions with detailed explanations. These solved examples cover the most frequently asked patterns in placement and competitive exams.

Q1 Easy

A ferry carries 5 boxes per crossing. 21 boxes must cross one-way. Minimum crossings?

  • A. 6
  • B. 3
  • C. 4
  • D. 5 ✓
Explanation: Minimum one-way crossings = ceil(21/5) = 5.
Q2 Easy

A ferry carries 6 sacks per crossing. 24 sacks must cross one-way. Minimum crossings?

  • A. 3
  • B. 4 ✓
  • C. 5
  • D. 2
Explanation: Minimum one-way crossings = ceil(24/6) = 4.
Q3 Easy

Classic puzzle: A farmer must move a wolf, goat, and cabbage across a river. Boat carries farmer plus one item. Minimum one-way trips?

  • A. 9
  • B. 8
  • C. 6
  • D. 7 ✓
Explanation: The optimal sequence for wolf-goat-cabbage needs 7 one-way crossings.
Q4 Easy

A boatman moves 9 parcels across, carrying one parcel outbound and returning empty except after the final trip. Total one-way movements?

  • A. 16
  • B. 17 ✓
  • C. 15
  • D. 18
Explanation: For n parcels, one-way movements = 2n - 1 = 17.
Q5 Medium

A ferry carries 6 sacks per crossing. 15 sacks must cross one-way. Minimum crossings?

  • A. 4
  • B. 3 ✓
  • C. 1
  • D. 2
Explanation: Minimum one-way crossings = ceil(15/6) = 3.
Q6 Medium

A boatman moves 3 parcels across, carrying one parcel outbound and returning empty except after the final trip. Total one-way movements?

  • A. 6
  • B. 5 ✓
  • C. 3
  • D. 4
Explanation: For n parcels, one-way movements = 2n - 1 = 5.
Q7 Medium

A ferry carries 6 boxes per crossing. 29 boxes must cross one-way. Minimum crossings?

  • A. 5 ✓
  • B. 4
  • C. 3
  • D. 6
Explanation: Minimum one-way crossings = ceil(29/6) = 5.
Q8 Medium

A boatman moves 6 parcels across, carrying one parcel outbound and returning empty except after the final trip. Total one-way movements?

  • A. 10
  • B. 9
  • C. 12
  • D. 11 ✓
Explanation: For n parcels, one-way movements = 2n - 1 = 11.
Q9 Hard

A ferry carries 6 boxes per crossing. 22 boxes must cross one-way. Minimum crossings?

  • A. 4 ✓
  • B. 2
  • C. 5
  • D. 3
Explanation: Minimum one-way crossings = ceil(22/6) = 4.
Q10 Hard

A boatman moves 5 parcels across, carrying one parcel outbound and returning empty except after the final trip. Total one-way movements?

  • A. 9 ✓
  • B. 8
  • C. 7
  • D. 10
Explanation: For n parcels, one-way movements = 2n - 1 = 9.

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