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 option is Only II.
Step-by-step Explanation:
Let's analyze the seating arrangement step-by-step based on the given information:
1. Understanding the Rows and Directions:
- Row-1 consists of 5 students: A, B, C, D, E facing North.
- Row-2 consists of 5 students: V, W, X, Y, Z facing South.
2. Placing A and Z:
- "A sits in the middle of row - 1."
So, in Row-1 (facing North), positions from Left to Right are: [ _ , _ , A , _ , _ ].
- "Z sits opposite to A."
So, in Row-2 (facing South), Z is opposite A in the middle position: [ _ , _ , Z , _ , _ ].
3. Placing W and X:
- "W sits at the extreme left end of row - 2."
Since Row-2 faces South, the extreme left end is from the perspective of someone facing South (which is the rightmost position when looking from North).
Positions in Row-2 (facing South, Left to Right from South perspective):
Position 1 (Left end): W
- "X sits to the immediate right of W."
In Row-2 (facing South): X is at Position 2.
Thus, Row-2 from Left to Right (South facing view): [ W , X , Z , _ , _ ].
4. Placing Y and V:
- "Y faces the student who sits to the immediate left of A."
In Row-1 (facing North), the immediate left of A is Position 2.
So, Y faces Position 2 of Row-1, which means Y is at Position 2 of Row-2 counting from the other side, i.e., Position 4 in Row-2.
- "V sits to the right of Y."
Since Position 5 is to the right of Y (facing South), V must be at Position 5.
So, the complete arrangement of Row-2 from Left to Right (facing South) is: [ W , X , Z , Y , V ].
5. Placing D and E:
- "D sits to the immediate left of E."
In Row-1 (facing North), D must be immediately to the left of E. The remaining empty spots in Row-1 are Position 1 and Position 2 (to the left of A) or Position 4 and Position 5 (to the right of A).
Since Position 2 is opposite Y, and Position 1 is opposite W, D is at Position 1 and E is at Position 2.
The remaining student C must be at Position 4 or 5.
So Row-1 is: [ D , E , A , C/B , B/C ].
6. Evaluating the Statements:
- Statement I: W faces D
Looking at the arrangements, Row-2 Position 1 (W) is directly opposite Row-1 Position 1 (D). Thus, W faces D. Wait, let's re-verify the directional positions:
Facing South: Left end is the eastern end. Facing North: Left end is the western end.
Position 1 of South-facing row faces Position 5 of North-facing row.
Since W is at the extreme left end of Row-2 (facing South), W is opposite Position 5 of Row-1 (which is B/C, not D).
X sits to the immediate right of W (towards the middle/center), so X is at Position 4 of Row-2 (facing South), which is immediately to the left of Z.
Therefore, X sits to the immediate left of Z (facing South perspective).
- Statement I: W faces D is INCORRECT (W faces Position 5 of Row-1, D is at Position 1).
- Statement II: X sits to the immediate left of Z is CORRECT (Looking at Z facing South, X is to Z's immediate left).
- Statement III: A sits at one of the extreme ends is INCORRECT (A sits in the middle).
Thus, only statement II is correct.
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