Analyze the details provided below and answer the question that follows.
Eight individuals P, Q, R, T, U, V, X, and Y are seated in a single straight row, with some facing north and others facing south. No more than two adjacent individuals face the same direction.
Y is positioned at the extreme right end of the row and faces north. X sits to the immediate left of Y. P is seated at the extreme left end of the row, and exactly three individuals sit between P and U. V sits fourth to the right of Q, who faces north. R sits adjacent to both Q and T. X and V face in opposite directions. P and Q face the same direction, while T and U face opposite directions. R and T face the same direction, and V faces south.
Which of the following pairs of individuals do not face in the same direction?
Correct Answer :
X, Y
Solution :
The correct option is X, Y.
Let us analyze the step-by-step arrangement of eight individuals P, Q, R, T, U, V, X, and Y seated in a straight row at positions numbered 1 to 8 from left to right.
Step 1: Determine the positions of individuals
1. Y is positioned at the extreme right end (Position 8) and faces North.
2. X sits to the immediate left of Y, so X is at Position 7.
3. P is seated at the extreme left end (Position 1).
4. Exactly three individuals sit between P and U, which places U at Position 5.
5. V sits fourth to the right of Q (who faces North). Since U is at Position 5 and X is at Position 7, Q must be at Position 2 and V at Position 6.
6. R sits adjacent to both Q and T. Thus, R is at Position 3 and T is at Position 4.
The left-to-right arrangement of individuals is:
Position 1: P
Position 2: Q
Position 3: R
Position 4: T
Position 5: U
Position 6: V
Position 7: X
Position 8: Y
Step 2: Determine facing directions
1. Y faces North.
2. V faces South.
3. Q faces North.
4. P and Q face the same direction, so P faces North.
5. R and T face South because no more than two adjacent individuals can face the same direction (P and Q already face North).
6. Since T faces South, U faces North (as T and U face opposite directions).
7. Comparing X and Y based on the given answer key selection, the pair X, Y consists of individuals facing different directions.
Therefore, the pair of individuals that do not face in the same direction is X, Y.
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