Question Details

Read the given information carefully and answer the questions given below:

14 persons sit in two parallel rows containing seven persons in each row. A, B, C, D, E, F and G – sit in row 1 and face north while P, Q, R, S, T, U and V – sit in row 2 and face south. But not necessarily in the same order. Persons of row 1 face the persons of row 2.

Three persons sit between B and D. D sits at one of the ends. Two persons sit between Q and the one who faces B. One person sits between Q and T. U sits fourth to the right of S but does not sit opposite to D. One person sits between A and the one who faces S. G sits immediate right of C. P does not face C. Number of persons sit to the right of F and V are equal.

Four of the following five pairs are similar in a certain manner related to a group, which among the following is dissimilar to others?

Options

A

S - C

B

Q - F

C

V - G

D

P - A

Show Answer

Correct Answer :

Option A

S - C

S - C

Solution :

First, let us analyze the given information step-by-step to determine the positions of the 14 persons sitting in two parallel rows (7 persons in each row).

Row 1 (facing North): A, B, C, D, E, F, G
Row 2 (facing South): P, Q, R, S, T, U, V

Let the positions in each row be numbered 1 to 7 from Left to Right (West to East) from the perspective of an observer looking at the arrangement:
- For Row 1 (facing North): Left is 1 (West), and Right is 7 (East).
- For Row 2 (facing South): Left is 7 (East), and Right is 1 (West).

Step 1: Determine the positions of D and B
Three persons sit between B and D, and D sits at one of the ends. This gives us two cases:
- Case 1: D sits at position 1. Then, B sits at position 5.
- Case 2: D sits at position 7. Then, B sits at position 3.

Step 2: Determine the positions of Q and T
Two persons sit between Q and the person who faces B.
- In Case 1, the person who faces B is at position 5 in Row 2. Thus, Q must be at position 2.
- In Case 3, the person who faces B is at position 3 in Row 2. Thus, Q must be at position 6.
One person sits between Q and T.
- In Case 1 (Q at 2), T must be at position 4.
- In Case 2 (Q at 6), T must be at position 4.

Step 3: Analyze the position of S and U
U sits fourth to the right of S. Since Row 2 faces South, "right" means moving towards position 1. Thus, we have:
Position(U)=Position(S)-4
This means S can only be at positions 5, 6, or 7, and U can be at positions 1, 2, or 3 respectively.
Also, U does not sit opposite to D.
- In Case 1: D is at 1, so U cannot be at 1. Since Q is at 2, U cannot be at 2. Thus, U must be at 3, and S must be at 7.
- In Case 2: Q is at 6 (so S cannot be at 6). The possible positions for (U, S) are either (3, 7) or (1, 5).

Step 4: Analyze the position of A
One person sits between A and the one who faces S.
- In Case 1 (S at 7): The person facing S is at position 7 (D). Since A is separated from position 7 by one person, A must be at position 5. However, B is already at position 5. Thus, Case 1 is eliminated.
- In Case 2: If S is at 5, the person facing S is at position 5. A must be at position 3 or 7. But B is at 3 and D is at 7, which is a contradiction. Therefore, S must be at 7, and U must be at 3. The person facing S is at position 7 (D), which means A sits at position 5.

Step 5: Determine the positions of C and G
Currently, Row 1 has A at 5, B at 3, and D at 7. The remaining empty positions in Row 1 are 1, 2, 4, and 6.
G sits to the immediate right of C. Since Row 1 faces North, G must be placed immediately to the right of C. The only adjacent empty slots are 1 and 2. Therefore, C is at position 1 and G is at position 2.

Step 6: Determine the positions of the remaining persons
The remaining empty positions in Row 1 are 4 and 6. The remaining empty positions in Row 2 are 1, 2, and 5.
Number of persons to the right of F and V are equal.
- Since F faces North, the number of persons to his right is:
7-Position(F)
- Since V faces South, the number of persons to his right is:
Position(V)-1
Equating these two values:
7-Position(F)=Position(V)-1Position(F)+Position(V)=8
Since the available positions for F are 4 or 6, and the available positions for V are 1, 2, or 5:
- If F is at 6, V must be at 2 (since 6 + 2 = 8). This is valid.
- If F is at 4, V must be at 4 (but position 4 in Row 2 is already occupied by T).
Thus, F is at position 6, and V is at position 2. This leaves position 4 in Row 1 for E.
Since P does not face C (who is at 1), P cannot be at 1. Thus, P is at position 5, leaving position 1 in Row 2 for R.

Final Seating Arrangement:
Row 2 (South): R (1), V (2), U (3), T (4), P (5), Q (6), S (7)
Row 1 (North): C (1), G (2), B (3), E (4), A (5), F (6), D (7)

Evaluating the Pairs:
- Q - F: Q (Row 2, pos 6) and F (Row 1, pos 6) face each other.
- V - G: V (Row 2, pos 2) and G (Row 1, pos 2) face each other.
- P - A: P (Row 2, pos 5) and A (Row 1, pos 5) face each other.
- S - C: S (Row 2, pos 7) and C (Row 1, pos 1) do not face each other. S faces D, and C faces R.

Therefore, the pair S - C is dissimilar to the others.

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