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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

✅ Correct Option: 3

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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