edited by
368 views
0 votes
0 votes

Six players- Tanzi, Umeza, Wangdu, Xyla, Yonita and Zeneca competed in an archery tournament. The tournament had three compulsory rounds, Rounds $1$ to $3.$ In each round every player shot an arrow at a target. Hitting the centre of the target (called bull’s eye) fetched the highest score of $5.$ The only other possible scores that a player could achieve were $4,3,2$ and $1.$ Every bull’s eye score in the first three rounds gave a player one additional chance to shoot in the bonus rounds, rounds $4$ to $6.$ The possible scores in Rounds $4$ to $6$ were identical to the first three.

A player’s total score in the tournament was the sum of his/her scores in all rounds played by

The figure below shows the street map for a certain region with the street intersections marked from a through $\text{I}.$ A person standing at an intersection can see along straight lines to other intersections that are in her line of sight and all other people standing at these intersections. For example, a person standing at intersection $g$ can see all people standing at intersection $b, c, e, f, h$ and $k.$ In particular, the person standing at intersection $g$ can see the person standing at intersection e irrespective of whether there is a person standing at intersection $f.$

Six people $\text{U, V, W, X, Y}$ and $\text{Z}$, are standing at different intersections. No two people are standing at the same intersection.

The following additional facts are known.

  1. $\text{X, U}$ and $\text{Z}$ are standing at the three corners of a triangle formed by three street segments.
  2. $\text{X}$ can see only $\text{U}$ and $\text{Z.}$
  3. $\text{Y}$ can see only $\text{U}$ and $\text{W.}$
  4. $\text{U}$ sees $\text{V}$ standing in the next intersection behind $\text{Z}.$
  5. $\text{W}$ cannot see $\text{V}$ or $\text{Z}.$
  6. No one among the six is standing at intersection $d.$

Should a new person stand at intersection $d,$ who among the six would she see?

  1. $\text{U}$ and $\text{Z}$ only
  2. $\text{V}$ and $\text{X}$ only
  3. $\text{W}$ and $\text{X}$ only
  4. $\text{U}$ and $\text{W}$ only
edited by

Please log in or register to answer this question.

Related questions