Question

Who is standing at intersection a?

• A. No one
• B. V
• C. W
• D. Y
• A. U only
• B. U, W and Z only
• C. U and Z only
• D. Z only
• A. 2
• B. 3
• C. 1
• D. 4
• A. U and Z only
• B. V and X only
• C. W and X only
• D. U and W only

Answer 1

The Correct Option is A

X, U, and Z are positioned at the three corners of the triangle formed by three street segments, specifically at b, c, g, or b, f, g, not necessarily in that order. U observes V standing in the next intersection behind Z, implying that U, V, and Z are in a straight line, with Z positioned between U and V. The potential configurations for this arrangement are:
(i) U, Z, and V standing at b, f, and j, respectively. In this scenario, X is at g. As X can only see U and Z, no one is standing at e, h, and k. For Y to have visibility of both U and W, Y must be at a, and W must be at i. However, this would enable W to see V, which is not valid. Hence, this case is not possible.
(ii) U, Z, and V standing at b, c, and d, respectively. This is not feasible as nobody is standing at d.
(iii) U, Z, and V standing at c, b, and a, respectively. In this case, X is at g. Since X can only see U and Z, no one is standing at e, f, h, and k. In this configuration, Y would be unable to see U, making it invalid.
(iv) U, Z, and V standing at c, g, and k, respectively. In this case, X would be at b. As X can only see U and Z, no one is standing at a, f, and j. In this scenario, Y would be unable to see U, making it invalid.
(v) U, Z, and V standing at g, f, and e, respectively. Here, X would be at b. Since X can only see U and Z, no one is standing at a, c, and j. W cannot see V or Z. Therefore, W cannot be at h or i. W must be at k or I. If W is at k, Y would be at h, i, or I. However, in none of these three positions can Y see both U and W. Therefore, W must be at I, and Y must be at k.
(vi) U, Z, and V standing at f, g, and h, respectively. In this case, X would be at b. Since X can only see U and Z, no one is standing at a, c, and j. For Y to see U, Y must be at e. However, in this case, Y would also be able to see Z and V, which is not valid. Hence, this case is not possible.
The arrangement of people is as follows:

No one is standing at intersection a. Answer: (No one)

Answer 2

X, U, and Z are positioned at the three corners of the triangle formed by three street segments, specifically at b, c, g, or b, f, g, not necessarily in that order. U observes V standing in the next intersection behind Z, implying that U, V, and Z are in a straight line, with Z positioned between U and V. The potential configurations for this arrangement are:
(i) U, Z, and V standing at b, f, and j, respectively. In this scenario, X is at g. As X can only see U and Z, no one is standing at e, h, and k. For Y to have visibility of both U and W, Y must be at a, and W must be at i. However, this would enable W to see V, which is not valid. Hence, this case is not possible.
(ii) U, Z, and V standing at b, c, and d, respectively. This is not feasible as nobody is standing at d.
(iii) U, Z, and V standing at c, b, and a, respectively. In this case, X is at g. Since X can only see U and Z, no one is standing at e, f, h, and k. In this configuration, Y would be unable to see U, making it invalid.
(iv) U, Z, and V standing at c, g, and k, respectively. In this case, X would be at b. As X can only see U and Z, no one is standing at a, f, and j. In this scenario, Y would be unable to see U, making it invalid.
(v) U, Z, and V standing at g, f, and e, respectively. Here, X would be at b. Since X can only see U and Z, no one is standing at a, c, and j. W cannot see V or Z. Therefore, W cannot be at h or i. W must be at k or I. If W is at k, Y would be at h, i, or I. However, in none of these three positions can Y see both U and W. Therefore, W must be at I, and Y must be at k.
(vi) U, Z, and V standing at f, g, and h, respectively. In this case, X would be at b. Since X can only see U and Z, no one is standing at a, c, and j. For Y to see U, Y must be at e. However, in this case, Y would also be able to see Z and V, which is not valid. Hence, this case is not possible.
The arrangement of people is as follows:

V can see U and Z only. Answer: (U and Z only)

Answer 3

X, U, and Z are positioned at the three corners of the triangle formed by three street segments, specifically at b, c, g, or b, f, g, not necessarily in that order. U observes V standing in the next intersection behind Z, implying that U, V, and Z are in a straight line, with Z positioned between U and V. The potential configurations for this arrangement are:
(i) U, Z, and V standing at b, f, and j, respectively. In this scenario, X is at g. As X can only see U and Z, no one is standing at e, h, and k. For Y to have visibility of both U and W, Y must be at a, and W must be at i. However, this would enable W to see V, which is not valid. Hence, this case is not possible.
(ii) U, Z, and V standing at b, c, and d, respectively. This is not feasible as nobody is standing at d.
(iii) U, Z, and V standing at c, b, and a, respectively. In this case, X is at g. Since X can only see U and Z, no one is standing at e, f, h, and k. In this configuration, Y would be unable to see U, making it invalid.
(iv) U, Z, and V standing at c, g, and k, respectively. In this case, X would be at b. As X can only see U and Z, no one is standing at a, f, and j. In this scenario, Y would be unable to see U, making it invalid.
(v) U, Z, and V standing at g, f, and e, respectively. Here, X would be at b. Since X can only see U and Z, no one is standing at a, c, and j. W cannot see V or Z. Therefore, W cannot be at h or i. W must be at k or I. If W is at k, Y would be at h, i, or I. However, in none of these three positions can Y see both U and W. Therefore, W must be at I, and Y must be at k.
(vi) U, Z, and V standing at f, g, and h, respectively. In this case, X would be at b. Since X can only see U and Z, no one is standing at a, c, and j. For Y to see U, Y must be at e. However, in this case, Y would also be able to see Z and V, which is not valid. Hence, this case is not possible.
The arrangement of people is as follows:

X must cross two segments (b-g-k) to reach Y. Answer: (2)

Answer 4

X, U, and Z are positioned at the three corners of the triangle formed by three street segments, specifically at b, c, g, or b, f, g, not necessarily in that order. U observes V standing in the next intersection behind Z, implying that U, V, and Z are in a straight line, with Z positioned between U and V. The potential configurations for this arrangement are:
(i) U, Z, and V standing at b, f, and j, respectively. In this scenario, X is at g. As X can only see U and Z, no one is standing at e, h, and k. For Y to have visibility of both U and W, Y must be at a, and W must be at i. However, this would enable W to see V, which is not valid. Hence, this case is not possible.
(ii) U, Z, and V standing at b, c, and d, respectively. This is not feasible as nobody is standing at d.
(iii) U, Z, and V standing at c, b, and a, respectively. In this case, X is at g. Since X can only see U and Z, no one is standing at e, f, h, and k. In this configuration, Y would be unable to see U, making it invalid.
(iv) U, Z, and V standing at c, g, and k, respectively. In this case, X would be at b. As X can only see U and Z, no one is standing at a, f, and j. In this scenario, Y would be unable to see U, making it invalid.
(v) U, Z, and V standing at g, f, and e, respectively. Here, X would be at b. Since X can only see U and Z, no one is standing at a, c, and j. W cannot see V or Z. Therefore, W cannot be at h or i. W must be at k or I. If W is at k, Y would be at h, i, or I. However, in none of these three positions can Y see both U and W. Therefore, W must be at I, and Y must be at k.
(vi) U, Z, and V standing at f, g, and h, respectively. In this case, X would be at b. Since X can only see U and Z, no one is standing at a, c, and j. For Y to see U, Y must be at e. However, in this case, Y would also be able to see Z and V, which is not valid. Hence, this case is not possible.
The arrangement of people is as follows:

If a new person is standing at d, that person can see W and X. Answer: (W and X only)