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?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Y is sixth
1. Fix the definite positions
We are explicitly told the positions of W and V:
- Position 4: W
- Position 5: V
2. Place T and Z based on immediate neighbors
- W is immediately behind T: Since W is 4th, T must be 3rd.
- Exactly one person between V and Z: V is 5th. This means Z must be 7th (Z cannot be 3rd because T is already there).
3. Place U, X, and Y
We have positions 1, 2, and 6 remaining.
- Y is behind both U and W: Since W is 4th, Y must be in a position later than 4. The only available spots behind 4 are 6 and 7. Since Z is already at 7, Y must be 6th.
- X is ahead of Y: X can be in position 1 or 2.
- U is ahead of Y: U can be in position 1 or 2.
Final Lineup:
|
Position |
Person |
|
1 |
X or U |
|
2 |
U or X |
|
3 |
T |
|
4 |
W |
|
5 |
V |
|
6 |
Y |
|
7 |
Z |
Evaluation of Options:
- T is first: False (T is 3rd).
- Z is first: False (Z is 7th).
- Y is sixth: True.
- Y is seventh: False (Z is 7th).
Correct Answer: Y is sixth