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. We need to use the given conditions to determine the exact position of some of the people in the line of 7. Let's denote the positions 1 (first, ahead) to 7 (last, behind).
Step 2: Detailed Explanation:
Let's break down the information and build the arrangement:
1. There are 7 positions: \_ \_ \_ \_ \_ \_ \_ (1, 2, 3, 4, 5, 6, 7)
2. Condition: W & V are fourth and fifth in line respectively.
This gives us: \_ \_ \_ W V \_ \_ \(\implies\) Position 4 = W, Position 5 = V.
3. Condition: W is immediately behind T.
This means T comes just before W. Since W is at position 4, T must be at position 3.
The line is now: \_ \_ T W V \_ \_ (T=3, W=4, V=5)
4. Condition: There is exactly one person standing between V and Z.
V is at position 5. The person between V and Z is at position 6, so Z must be at position 7. (Z cannot be at position 3, as T is there).
The line is now: \_ \_ T W V \_ Z (T=3, W=4, V=5, Z=7)
5. Condition: Y is behind both U & W.
W is at position 4. So Y must be at a position greater than 4. The available positions are 6. (Position 5 is V, Position 7 is Z). So, Y must be at position 6.
The line is now: \_ \_ T W V Y Z (T=3, W=4, V=5, Y=6, Z=7)
6. The remaining people are U and X, and the remaining positions are 1 and 2. The conditions "X is somewhere ahead of Y" and "Y is behind U" are satisfied as U and X will be in positions 1 or 2, which are ahead of Y (position 6).
The final arrangement is: (U/X) (X/U) T W V Y Z.
Let's check the options based on this definite 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 must be true is that Y is sixth.