Directions: Read the following information carefully and answer the questions given below.
Seven individuals — U, V, W, X, Y, Z, and K — are seated in a straight row facing north, but not necessarily in the same order.
W sits second from the right end of the line. Exactly three people sit between W and Y. X sits at an extreme end and is to the immediate left of Y. Only two people sit between Y and V. Z sits to the immediate left of V. U sits to the right of Y and to the left of Z. K occupies the seat to the immediate right of W.
Which of the following statement(s) is/are true?
I. Y is the only neighbour of X
II. Z sits exactly between U and V
III. More than two persons sit to the right of W
Correct Answer :
Both I and II
Solution :
Correct Answer: Both I and II
Let us determine the seating arrangement of the seven individuals (U, V, W, X, Y, Z, and K) step-by-step for 7 positions from left (1) to right (7) facing north:
1. W sits second from the right end of the line:
Position 7 is the right end, so W is placed at position 6.
Row status: _ , _ , _ , _ , _ , W , _
2. Exactly three people sit between W and Y:
Since W is at position 6, counting 3 seats to the left places Y at position 2.
Row status: _ , Y , _ , _ , _ , W , _
3. X sits at an extreme end and is to the immediate left of Y:
The seat to the immediate left of position 2 is position 1 (extreme left end). Thus, X is at position 1.
Row status: X , Y , _ , _ , _ , W , _
4. Only two people sit between Y and V:
With Y at position 2, counting two seats to the right places V at position 5.
Row status: X , Y , _ , _ , V , W , _
5. Z sits to the immediate left of V:
The immediate left of position 5 is position 4, so Z is at position 4.
Row status: X , Y , _ , Z , V , W , _
6. U sits to the right of Y and to the left of Z:
The only available position between Y (position 2) and Z (position 4) is position 3. So U is placed at position 3.
Row status: X , Y , U , Z , V , W , _
7. K occupies the seat to the immediate right of W:
Position 7 is to the immediate right of W (position 6), so K is at position 7.
Final Seating Arrangement (Left to Right): X - Y - U - Z - V - W - K
Evaluating the given statements:
• Statement I: Y is the only neighbour of X
X is at the extreme left end (position 1), so its only neighbor is Y (position 2). (TRUE)
• Statement II: Z sits exactly between U and V
U is at position 3, Z is at position 4, and V is at position 5. Z sits directly between U and V. (TRUE)
• Statement III: More than two persons sit to the right of W
Only 1 person (K) sits to the right of W (position 6). (FALSE)
Hence, both statements I and II are true.
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