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 whish of the following must be true?
Correct Answer :
Y is sixth
Solution :
The correct option is Y is sixth.
Let us determine the positions of the seven people in the line, from first to seventh, facing the milk-booth:
1st (front of the line), 2nd, 3rd, 4th, 5th, 6th, 7th (back of the line)
We are given the following initial placements:
- W is 4th in line.
- V is 5th in line.
This gives us the initial partial arrangement:
Line: [ _ , _ , _ , W , V , _ , _ ]
Now, let us apply the remaining conditions step-by-step:
Step 1: Place T using W's position
We are told that "W is immediately behind T." This means T is directly in front of W. Since W is in the 4th position, T must be in the 3rd position.
Arrangement: [ _ , _ , T , W , V , _ , _ ]
Step 2: Place Z using V's position
We are told that "There is exactly one person standing between V and Z." Since V is in the 5th position, Z must be either in the 3rd position or the 7th position. Since T is already occupying the 3rd position, Z must occupy the 7th position.
Arrangement: [ _ , _ , T , W , V , _ , Z ]
Step 3: Place Y using the remaining positions
We are told that "Y is behind both U & W." Since W is 4th, Y must stand in a position behind the 4th spot (i.e., 5th, 6th, or 7th).
Looking at the current arrangement, the 5th position is occupied by V, and the 7th position is occupied by Z. Therefore, the only available position behind W for Y to stand is the 6th position.
Arrangement: [ _ , _ , T , W , V , Y , Z ]
Step 4: Check the remaining conditions
The remaining empty positions are 1st and 2nd, which must be occupied by U and X in some order. Since U and X will occupy the 1st and 2nd positions, the conditions "X is somewhere ahead of Y" and "Y is behind U" are both fully satisfied because Y is in the 6th position.
Thus, it must be true that Y is sixth.
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