Question Details

Directions: Study the details below and answer the question that follows.

Seven travelers—A, B, C, D, E, F, and G—are seated in a single straight row, all facing North, ready to depart for different destinations: Tokyo, Paris, London, New York, Sydney, Rome, and Cairo. The arrangement of the travelers and their destinations is based on the following conditions:

A sits at one of the extreme ends of the row and visits Paris.
G sits at the other extreme end of the row.
The visitor of New York sits exactly in the middle of the row.
The number of people to the left of B is equal to the number of people to the right of F.
C visits Tokyo and sits to the immediate right of B.
F visits Rome and sits to the immediate left of G, who visits Cairo.
E sits adjacent to F.

Which of the following combinations is correct?

Options

A

B-Rome

B

A-Tokyo

C

D-New York

D

None is correct

E

E-Paris

Show Answer

Correct Answer :

Option C

D-New York

Solution :

The correct combination is D-New York.

Step-by-step Logical Breakdown:

Let there be 7 positions in a straight row facing North, numbered from left to right as 1, 2, 3, 4, 5, 6, and 7.

Position 4 represents the exact middle of the row. According to the conditions, the person visiting New York sits at Position 4.

1. Determining the positions of A, G, F, and E:
• A sits at one extreme end (visiting Paris) and G sits at the other extreme end (visiting Cairo).
• F visits Rome and sits to the immediate left of G. Since someone sits to the immediate left of G, G cannot be at the left end (Position 1).
• Therefore, G must sit at Position 7 (right end) and A must sit at Position 1 (left end).
• Since G is at Position 7, F (Rome) sits at Position 6.
• E sits adjacent to F. Since Position 7 is occupied by G, E must sit at Position 5.

The number of people to the right of F (Position 6) is equal to:

7-6=1

2. Determining the positions of B, C, and D:
• The condition states that the number of people to the left of B is equal to the number of people to the right of F (which is 1).
• Therefore, there is exactly 1 person to the left of B, placing B at Position 2.
• C visits Tokyo and sits to the immediate right of B, which places C at Position 3.
• The only remaining unoccupied seat is Position 4, which must be occupied by D.

3. Final Seating Arrangement:
• Position 1: A (Paris)
• Position 2: B
• Position 3: C (Tokyo)
• Position 4: D (New York)
• Position 5: E
• Position 6: F (Rome)
• Position 7: G (Cairo)

4. Option Verification:
• B-Rome: Incorrect (F visits Rome)
• A-Tokyo: Incorrect (A visits Paris, C visits Tokyo)
D-New York: Correct (D sits at Position 4, which is New York)
• E-Paris: Incorrect (A visits Paris)

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