Seven people T, U, V, W, X, Y & Z are standing in a single line facing a milk - booth. X is somewhere ahead of Y. There is exactly one person standing between V and Z. W is immediately behind T. Y is behind both U & W. If W & V are fourth and fifth in line respectively, then which of the following must be true?
Seven people T, U, V, W, X, Y & Z are standing in a single line facing a milk - booth. X is somewhere ahead of Y. There is exactly one person standing between V and Z. W is immediately behind T. Y is behind both U & W. If W & V are fourth and fifth in line respectively, then which of the following must be true?
Solution
Given information:
- W is fourth in line
- V is fifth in line
- W is immediately behind T
- There is exactly one person between V and Z
- X is somewhere ahead of Y
- Y is behind both U & W
Since W is at position 4 and W is immediately behind T, T must be at position 3.
Positions so far:
- Position 3: T
- Position 4: W
- Position 5: V
V is at position 5, and there is exactly one person between V and Z.
This means Z is either at position 3 or position 7.
Since position 3 is already occupied by T, Z must be at position 7.
Positions so far:
- Position 3: T
- Position 4: W
- Position 5: V
- Position 7: Z
Y is behind both U and W. Since W is at position 4, Y must be at position 5, 6, or 7.
Positions 5 and 7 are occupied by V and Z respectively, so Y must be at position 6.
Positions so far:
- Position 3: T
- Position 4: W
- Position 5: V
- Position 6: Y
- Position 7: Z
The remaining people are U and X, who must occupy positions 1 and 2.
Since X is ahead of Y (position 6) and Y is behind U, both conditions are satisfied with U and X at positions 1 and 2 (in either order).
Final arrangement:
- Positions 1-2: U and X (in some order)
- Position 3: T
- Position 4: W
- Position 5: V
- Position 6: Y
- Position 7: Z
Checking the options:
- Option 1: T is first - FALSE (T is third)
- Option 2: Z is first - FALSE (Z is seventh)
- Option 3: Y is sixth - TRUE
- Option 4: Y is seventh - FALSE (Y is sixth)
Therefore, Option 3 must be true.
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