In a plane, line X is perpendicular to line Y and parallel to line Z; line U is perpendicular to both lines V and W; line X is perpendicular to line V. Which one of the following statements is correct?

To solve this elegantly, we look for connections using 'common friends' (reference lines), just like in the 'Transitive Sequencing' PYQs [48].\n\n1. **First Connection (Using Line U):**\n The question says line U is perpendicular to V, and line U is also perpendicular to W. Since V and W are perpendicular to the same line (U), they must be parallel to each other. \n *Result: V || W*\n\n2. **Second Connection (Using Line X):**\n The question says line X is perpendicular to V, and line X is also perpendicular to Y. Since V and Y are perpendicular to the same line (X), they must be parallel to each other.\n *Result: V || Y*\n\n3. **Final Chain:**\n Now we combine the results. We know Y is parallel to V, and V is parallel to W. Therefore, all three are parallel.\n *Chain: Y || V || W*\n\nLooking at option (D), it states 'Y, V and W are parallel', which perfectly matches our chain.