Read the information carefully and answer the questions given below:
Fourteen persons are sitting in two parallel rows containing seven persons each. In row 1 - A, B, C, D, E, F and G are seated and all of them are facing north. While P, Q, R, S, T, U and V are sitting in row-2 and facing south direction but not necessarily in the same order. Persons of row 1 face the persons of row 2. Q sits two places away from the one who faces E. E is the only immediate neighbour of D. U faces the one who sits third to the right of C. The number of persons sit to the right of Q is same as the number of persons sit to the left of G. B sits second to the left of G. One person sits between R and V and both of them do not sit at the extreme ends. S sits right of T but not sit at the extreme ends. A faces the one who sits second to the right of R.
Four of the following five are alike in a certain way and hence form a group. Who among the following does not belong to that group?
Correct Answer :
T
Solution :
To find the person who does not belong to the group, we must first determine the seating arrangement of the fourteen persons sitting in two parallel rows (Row 1 facing North and Row 2 facing South).
Row 1 (Facing North): A, B, C, D, E, F, G
Row 2 (Facing South): P, Q, R, S, T, U, V
Let the 7 positions in each row be numbered 1 to 7 from left to right (for Row 1, from West to East; for Row 2, from East to West, but let's use standard Left-to-Right positions 1 to 7 where Row 1's right is position 7, and Row 2's right is position 1 since they face South).
Let's analyze the clues step-by-step:
1. "E is the only immediate neighbour of D."
This means D must sit at one of the extreme ends of Row 1 (either position 1 or position 7), and E must sit adjacent to D (position 2 or position 6, respectively). Let's consider two cases:
Case A: D is at position 1, E is at position 2.
Case B: D is at position 7, E is at position 6.
2. "Q sits two places away from the one who faces E."
"Two places away" means there is one person between Q and the person facing E. Since E is at position 2 (Case A) or position 6 (Case B):
In Case A (E at position 2): The person facing E is at position 2 of Row 2. Q must be at position 4 of Row 2.
In Case B (E at position 6): The person facing E is at position 6 of Row 2. Q must be at position 4 of Row 2.
3. "The number of persons sit to the right of Q is same as the number of persons sit to the left of G."
Since Row 2 faces South, the right of Row 2 is towards position 1. Q is at position 4, so the number of persons to the right of Q (positions 1, 2, 3) is 3.
Therefore, the number of persons to the left of G in Row 1 (facing North, so left is towards position 1) must also be 3. This means G must sit at position 4 of Row 1.
4. "B sits second to the left of G."
Since G is at position 4, second to the left of G is position 2. Thus, B must be at position 2.
However, in Case A, E is at position 2. This creates a contradiction. Therefore, Case A is eliminated, and we proceed with Case B:
Row 1 positions: B is at 2, G is at 4, E is at 6, D is at 7.
5. "U faces the one who sits third to the right of C."
Let's find the position of C in Row 1. The remaining positions for Row 1 are 1, 3, and 5.
If C is at position 1: The person third to the right of C (positions 2, 3, 4) is G (position 4). Thus, U would face G (position 4). But Q is already at position 4 of Row 2. So C cannot be at position 1.
If C is at position 3: The person third to the right of C (positions 4, 5, 6) is E (position 6). Thus, U faces E (position 6). This is possible.
If C is at position 5: Third to the right of C would be position 8, which does not exist.
Therefore, C must be at position 3, and U faces E, placing U at position 6 of Row 2.
6. Let's fill the remaining positions of Row 1:
Row 1 positions filled so far: B (2), C (3), G (4), E (6), D (7).
The remaining positions are 1 and 5. The remaining persons are A and F.
Let's look at the clue: "A faces the one who sits second to the right of R."
Since R is in Row 2 (facing South), second to the right of R means moving towards position 1. Let's find the position of R.
"One person sits between R and V and both of them do not sit at the extreme ends."
This means R and V cannot be at positions 1 or 7. The remaining open positions in Row 2 are 2, 3, 5, 7 (since Q is at 4 and U is at 6). Since they cannot be at 7, they must be chosen from 2, 3, and 5.
Since there is one person between R and V, they must occupy positions 3 and 5.
If R is at position 5: Second to the right of R (towards position 1) is position 3. So A faces the person at position 3 (which is V). Thus, A must be at position 3 of Row 1. But C is already at position 3 of Row 1. So this is invalid.
If R is at position 3 (and V is at position 5): Second to the right of R (towards position 1) is position 1. So A faces the person at position 1. Thus, A must be at position 1 of Row 1. This is valid!
Consequently, F must be at the remaining position 5 of Row 1.
7. Let's place the remaining persons in Row 2:
Row 2 positions filled so far: R (3), Q (4), V (5), U (6). Position 1, 2, and 7 are vacant.
"S sits right of T but not sit at the extreme ends."
The remaining positions are 1, 2, and 7. Since S cannot sit at the extreme ends, S must be at position 2.
Since S sits to the right of T (towards position 1), T must sit to the left of S (towards position 7). Therefore, T must be at position 7, and the remaining person P must sit at position 1.
Let's summarize the final seating arrangements:
Row 2 (Facing South):
Position 1: P | Position 2: S | Position 3: R | Position 4: Q | Position 5: V | Position 6: U | Position 7: T
Row 1 (Facing North):
Position 1: A | Position 2: B | Position 3: C | Position 4: G | Position 5: F | Position 6: E | Position 7: D
Now, let's analyze the options to find the odd one out:
The options are: T, F, S, U.
Let's check the positions of these persons:
- T is at position 7 of Row 2, which is an extreme end.
- F is at position 5 of Row 1, which is a middle position.
- S is at position 2 of Row 2, which is a middle position.
- U is at position 6 of Row 2, which is a middle position.
Alternatively, let's check who sits at the extreme ends of the rows:
- Extreme ends of Row 2: P and T.
- Extreme ends of Row 1: A and D.
Among the given choices (T, F, S, U), only T sits at one of the extreme ends of the rows, while F, S, and U sit at middle positions. Therefore, T does not belong to the group.
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