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15 River Crossing Questions and Answers

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

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Advanced river crossing questions for experienced learners. These medium-to-hard questions test deeper understanding and are ideal for those who have already mastered the basics. Each question includes a detailed explanation.

Q1 Medium

A boatman moves 8 parcels across, carrying one parcel outbound and returning empty except after the final trip. Total one-way movements?

  • A. 15 ✓
  • B. 16
  • C. 13
  • D. 14
Explanation: For n parcels, one-way movements = 2n - 1 = 15.
Q2 Medium

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

  • A. 5
  • B. 3
  • C. 2
  • D. 4 ✓
Explanation: Minimum one-way crossings = ceil(22/6) = 4.
Q3 Medium

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

  • A. 5 ✓
  • B. 6
  • C. 3
  • D. 4
Explanation: For n parcels, one-way movements = 2n - 1 = 5.
Q4 Medium

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

  • A. 5
  • B. 4 ✓
  • C. 2
  • D. 3
Explanation: Minimum one-way crossings = ceil(24/6) = 4.
Q5 Medium

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

  • A. 9
  • B. 11 ✓
  • C. 10
  • D. 12
Explanation: For n parcels, one-way movements = 2n - 1 = 11.
Q6 Medium

A ferry carries 4 boxes per crossing. 20 boxes must cross one-way. Minimum crossings?

  • A. 5 ✓
  • B. 6
  • C. 4
  • D. 3
Explanation: Minimum one-way crossings = ceil(20/4) = 5.
Q7 Medium

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

  • A. 15
  • B. 17 ✓
  • C. 18
  • D. 16
Explanation: For n parcels, one-way movements = 2n - 1 = 17.
Q8 Medium

A ferry carries 6 people per crossing. 9 people must cross one-way. Minimum crossings?

  • A. 1
  • B. 0
  • C. 2 ✓
  • D. 3
Explanation: Minimum one-way crossings = ceil(9/6) = 2.
Q9 Medium

A boatman moves 4 parcels across, carrying one parcel outbound and returning empty except after the final trip. Total one-way movements?

  • A. 5
  • B. 8
  • C. 7 ✓
  • D. 6
Explanation: For n parcels, one-way movements = 2n - 1 = 7.
Q10 Medium

A ferry carries 4 crates per crossing. 16 crates must cross one-way. Minimum crossings?

  • A. 5
  • B. 4 ✓
  • C. 3
  • D. 2
Explanation: For Simple Interest: SI = (Principal × Rate × Time) ÷ 100. For Compound Interest: Amount = P × (1 + R/100)^T. The key difference is that CI earns interest on interest. Minimum one-way crossings = ceil(16/4) = 4.
Q11 Medium

A ferry carries 5 sacks per crossing. 28 sacks must cross one-way. Minimum crossings?

  • A. 5
  • B. 4
  • C. 7
  • D. 6 ✓
Explanation: Minimum one-way crossings = ceil(28/5) = 6.
Q12 Medium

A ferry carries 6 boxes per crossing. 27 boxes must cross one-way. Minimum crossings?

  • A. 4
  • B. 6
  • C. 5 ✓
  • D. 3
Explanation: Minimum one-way crossings = ceil(27/6) = 5.
Q13 Medium

A ferry carries 2 people per crossing. 16 people must cross one-way. Minimum crossings?

  • A. 6
  • B. 8 ✓
  • C. 9
  • D. 7
Explanation: Minimum one-way crossings = ceil(16/2) = 8.
Q14 Medium

A ferry carries 6 sacks per crossing. 16 sacks must cross one-way. Minimum crossings?

  • A. 3 ✓
  • B. 2
  • C. 1
  • D. 4
Explanation: Minimum one-way crossings = ceil(16/6) = 3.
Q15 Hard

A ferry carries 5 boxes per crossing. 10 boxes must cross one-way. Minimum crossings?

  • A. 2 ✓
  • B. 3
  • C. 1
  • D. 0
Explanation: Minimum one-way crossings = ceil(10/5) = 2.

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