Question

A certain number of people are sitting in a row, facing the north. Only 7 persons sit between F and U. F is at one of the extreme ends of the row. Only 9 persons sit between H and U. Only 12 persons sit between E and H. E is right end. H is at the 19th position from the extreme left end. H is 14th from the extreme right end. sitting in the row, what is the total number of persons seated?

• A. 33
• B. 34
• C. 32
• D. 31

Answer 1

Answer:

C. 32

• Correct Answer: Option C (32)

  • H is at the 19th position from the extreme left end

  • H is at the 14th position from the extreme right end

  Step 1: Find Total Number of Persons

• Using the standard formula:
  Total = Position from left + Position from right − 1

• Total = 19 + 14 − 1 = 32 persons

  Step 2: Verify with Other Clues

• Placing E (Right End):

  • E is at the extreme right → Position 32

• Placing H:

  • H is at position 19 from left → Position 19 ✅

  • Only 12 persons sit between E and H → Positions between 19 and 32 = 32 − 19 − 1 = 12 ✅

• Placing U:

  • Only 9 persons sit between H and U

  • U is at position 19 − 10 = 9 (to the left of H) ✅

• Placing F:

  • F is at one of the extreme ends → Position 1 (extreme left)

  • Only 7 persons sit between F and U → Positions between 1 and 9 = 9 − 1 − 1 = 7 ✅

  Final Arrangement (Key Positions):

Person	Position
F	1 (Extreme Left)
U	9
H	19
E	32 (Extreme Right)

📌 Important Related Facts

• Formula: Total persons = (Position from left) + (Position from right) − 1

• Persons between two positions = (Right position − Left position) − 1

• Always verify all given conditions after solving

• When a person is at an extreme end, their position is either 1 or N (total)