Study the following information carefully and answer the questions given below:
Ten students are sitting in two parallel rows containing five students each, in such a way that there is an equal distance between adjacent students. In row - 1 A, B, C, D and E are seated and all of them are facing north. In row - 2 V, W, X, Y and Z are seated and all of them are facing south.
A sits in the middle of row - 1. Z sits opposite to A. W sits at the extreme left end of row - 2. X sits to the immediate right of W. Y faces the student who sits to the immediate left of A. V sits to the right of Y. D sits to the immediate left of E.
Which of the following statements is correct?
I. W faces D
II. X sits to the immediate left of Z
III. A sits at one of the extreme ends
Correct Answer :
Only II
Solution :
The correct answer is Only II.
Step-by-step Arrangement:
Let's arrange the ten students in two parallel rows with five positions each (Positions 1 to 5 from left to right):
• Row - 1 (Facing North): Left end is position 1, Right end is position 5.
• Row - 2 (Facing South): For persons facing south, their left is to the right side of the diagram (Position 5) and their right is to the left side of the diagram (Position 1).
Step 1: Place A and Z
• "A sits in the middle of row - 1."
So, A is at Position 3 in Row 1.
• "Z sits opposite to A."
So, Z is at Position 3 in Row 2.
Step 2: Place W and X in Row 2
• "W sits at the extreme left end of row - 2."
Since persons in Row 2 face south, the extreme left end corresponds to Position 5.
So, W is at Position 5 in Row 2.
• "X sits to the immediate right of W."
Facing south, immediate right of W (Position 5) is Position 4.
So, X is at Position 4 in Row 2.
Step 3: Place Y and V in Row 2
• "Y faces the student who sits to the immediate left of A."
Facing north, immediate left of A (Position 3) is Position 2 in Row 1.
Therefore, Y sits opposite to Position 2, which means Y is at Position 2 in Row 2.
• "V sits to the right of Y."
Facing south, to the right of Y (Position 2) means Position 1.
So, V is at Position 1 in Row 2.
Summary of Row 2:
• Position 1: V
• Position 2: Y
• Position 3: Z
• Position 4: X
• Position 5: W
Step 4: Place D and E in Row 1
• "D sits to the immediate left of E."
Facing north, D must be immediately to the left of E. The remaining spots in Row 1 are Position 4 and Position 5. Since D is to the immediate left of E, D must be at Position 4 and E must be at Position 5.
• The remaining person B sits at Position 1 in Row 1.
Final Arrangement:
Row 2 (Facing South): V (1) - Y (2) - Z (3) - X (4) - W (5)
Row 1 (Facing North): B (1) - C/E (2) - A (3) - D (4) - E/C (5) [specifically D at 4, E at 5, B at 1, C at 2]
Evaluating the Given Statements:
• Statement I: W faces D
Position 5 in Row 2 is W, and Position 5 in Row 1 is E. So W faces E, not D. (Incorrect)
• Statement II: X sits to the immediate left of Z
In Row 2 (facing south), Z is at Position 3. To Z's left (towards Position 4) is X. Therefore, X sits to the immediate left of Z. (Correct)
• Statement III: A sits at one of the extreme ends
A sits at the middle (Position 3) of Row 1, not at an extreme end. (Incorrect)
Hence, only statement II is correct.
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