Question

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?

• A. T is first
• B. Z is first
• C. Y is sixth
• D. Y is seventh

Hint:

In arrangement puzzles, use definite information first to create a framework (like placing W and V). Then, use the relative information to fill in the gaps. Cross out used positions and people to keep track.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
This is a linear arrangement puzzle involving 7 positions. The objective is to determine the precise placement of individuals based on given conditions. Positions are numbered 1 (front) to 7 (back).
Step 2: Detailed Explanation:
Let's construct the arrangement step-by-step:
1. Initial setup: \_ \_ \_ \_ \_ \_ \_ (Positions 1 to 7).
2. Condition: W is 4th, V is 5th.
Arrangement: \_ \_ \_ W V \_ \_ (Position 4 = W, Position 5 = V).
3. Condition: W is immediately behind T.
This means T is at position 3. Arrangement: \_ \_ T W V \_ \_ (T=3, W=4, V=5).
4. Condition: Exactly one person between V and Z.
With V at position 5, the person at position 6 is between V and Z. Therefore, Z is at position 7. Arrangement: \_ \_ T W V \_ Z (T=3, W=4, V=5, Z=7).
5. Condition: Y is behind U and W.
W is at position 4. Y must be in a position greater than 4. Available positions are 6 (since 5 is V and 7 is Z). Thus, Y is at position 6. Arrangement: \_ \_ T W V Y Z (T=3, W=4, V=5, Y=6, Z=7).
6. Remaining individuals are U and X for positions 1 and 2. The conditions "X is ahead of Y" and "Y is behind U" are satisfied as U and X will occupy positions 1 or 2, both ahead of Y (position 6).
Final arrangement: (U/X) (X/U) T W V Y Z.
Evaluating the given statements based on this arrangement:

1. T is first. (False; T is third)

2. Z is first. (False; Z is seventh)

3. Y is sixth. (True; Y is definitively in the 6th position)

4. Y is seventh. (False; Z is seventh)

Step 3: Final Answer:
The statement that is definitively true is that Y is in the sixth position.