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.
If all the individuals are arranged in alphabetical order from left to right, how many of them will remain in their original positions?
Correct Answer :
None
Solution :
The correct option is None.
Step-by-step arrangement:
Let the 7 positions from left to right be numbered 1 to 7.
1. W sits second from the right end of the line:
Position 6 is occupied by W.
Arrangement: _ , _ , _ , _ , _ , W , _
2. K occupies the seat to the immediate right of W:
Position 7 is occupied by K.
Arrangement: _ , _ , _ , _ , _ , W , K
3. Exactly three people sit between W and Y:
Counting 3 positions to the left of W (position 6), Y sits at position 2.
Arrangement: _ , Y , _ , _ , _ , W , K
4. X sits at an extreme end and is to the immediate left of Y:
Immediate left of Y (position 2) is position 1. So, X sits at position 1.
Arrangement: X , Y , _ , _ , _ , W , K
5. Only two people sit between Y and V:
Counting 2 positions to the right of Y (position 2), V sits at position 5.
Arrangement: X , Y , _ , _ , V , W , K
6. Z sits to the immediate left of V:
Immediate left of V (position 5) is position 4. So, Z sits at position 4.
Arrangement: X , Y , _ , Z , V , W , K
7. U sits to the right of Y and to the left of Z:
The remaining empty position 3 is occupied by U.
Final Original Seating Arrangement (Left to Right):
Position 1: X
Position 2: Y
Position 3: U
Position 4: Z
Position 5: V
Position 6: W
Position 7: K
Comparing with Alphabetical Order:
Arranging all 7 individuals (U, V, W, X, Y, Z, K) in alphabetical order from left to right:
Position 1: K
Position 2: U
Position 3: V
Position 4: W
Position 5: X
Position 6: Y
Position 7: Z
Position Comparison:
• Position 1: X vs K (Different)
• Position 2: Y vs U (Different)
• Position 3: U vs V (Different)
• Position 4: Z vs W (Different)
• Position 5: V vs X (Different)
• Position 6: W vs Y (Different)
• Position 7: K vs Z (Different)
None of the individuals remain in their original positions.
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