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Conditional Seating - Intermediate Level: tricky scenarios handling Conditional Seating INTERMEDIATE

This expert challenge 📈 worksheet focuses on Conditional Seating - a key topic in Seating Arrangement. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve conditional seating, conditional seating tricks, and conditional seating shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Conditional Seating
Worksheet 5 of 10 (44% complete)

Question 1

Five persons X, W, V, Y and Z are to be seated in a row facing North. The following conditions apply: - If X sits at an extreme end, then V must sit immediately next to W - If X does not sit at an extreme end, then Y must sit at an extreme end - Z cannot sit next to X - W sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- W sits second from the left → W at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with W at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• X W V Y Z
• X W V Z Y
• V W Z Y X
• Y W X V Z
• Z W X V Y
• Z W V X Y
(shown up to 6)

Step 3: Test each MCQ option

- "Y sits at position 5": ✓ Possible in at least one valid arrangement
- "X sits at position 2": ✗ NEVER possible → must be FALSE
- "Z sits at position 4": ✓ Possible in at least one valid arrangement
- "X sits at position 4": ✓ Possible in at least one valid arrangement

Step 4: Conclusion
"X sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "X sits at position 2" must be FALSE.

Question 2

Five persons X, V, Z, Y and W are to be seated in a row facing North. The following conditions apply: - If X sits at an extreme end, then Z must sit immediately next to V - If X does not sit at an extreme end, then Y must sit at an extreme end - W cannot sit next to X - V sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- V sits second from the left → V at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with V at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• X V Z Y W
• X V Z W Y
• Z V W Y X
• Y V X Z W
• W V X Z Y
• W V Z X Y
(shown up to 6)

Step 3: Test each MCQ option

- "X sits at position 4": ✓ Possible in at least one valid arrangement
- "X sits at position 2": ✗ NEVER possible → must be FALSE
- "V sits at position 2": ✓ Possible in at least one valid arrangement
- "W sits at position 3": ✓ Possible in at least one valid arrangement

Step 4: Conclusion
"X sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "X sits at position 2" must be FALSE.

Question 3

Five persons Z, X, Y, V and W are to be seated in a row facing North. The following conditions apply: - If Z sits at an extreme end, then Y must sit immediately next to X - If Z does not sit at an extreme end, then V must sit at an extreme end - W cannot sit next to Z - X sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- X sits second from the left → X at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with X at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• Z X Y V W
• Z X Y W V
• Y X W V Z
• V X Z Y W
• W X Z Y V
• W X Y Z V
(shown up to 6)

Step 3: Test each MCQ option

- "V sits at position 4": ✓ Possible in at least one valid arrangement
- "W sits at position 3": ✓ Possible in at least one valid arrangement
- "Z sits at position 2": ✗ NEVER possible → must be FALSE
- "W sits at position 5": ✓ Possible in at least one valid arrangement

Step 4: Conclusion
"Z sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "Z sits at position 2" must be FALSE.

Question 4

Five persons X, W, Y, V and Z are to be seated in a row facing North. The following conditions apply: - If X sits at an extreme end, then Y must sit immediately next to W - If X does not sit at an extreme end, then V must sit at an extreme end - Z cannot sit next to X - W sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- W sits second from the left → W at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with W at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• X W Y V Z
• X W Y Z V
• Y W Z V X
• V W X Y Z
• Z W X Y V
• Z W Y X V
(shown up to 6)

Step 3: Test each MCQ option

- "X sits at position 2": ✗ NEVER possible → must be FALSE
- "W sits at position 2": ✓ Possible in at least one valid arrangement
- "V sits at position 4": ✓ Possible in at least one valid arrangement
- "V sits at position 5": ✓ Possible in at least one valid arrangement

Step 4: Conclusion
"X sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "X sits at position 2" must be FALSE.

Question 5

Five persons X, Z, V, W and Y are to be seated in a row facing North. The following conditions apply: - If X sits at an extreme end, then V must sit immediately next to Z - If X does not sit at an extreme end, then W must sit at an extreme end - Y cannot sit next to X - Z sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- Z sits second from the left → Z at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with Z at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• X Z V W Y
• X Z V Y W
• V Z Y W X
• W Z X V Y
• Y Z X V W
• Y Z V X W
(shown up to 6)

Step 3: Test each MCQ option

- "Y sits at position 3": ✓ Possible in at least one valid arrangement
- "Z sits at position 2": ✓ Possible in at least one valid arrangement
- "V sits at position 4": ✓ Possible in at least one valid arrangement
- "X sits at position 2": ✗ NEVER possible → must be FALSE

Step 4: Conclusion
"X sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "X sits at position 2" must be FALSE.

Question 6

Five persons Z, W, V, Y and X are to be seated in a row facing North. The following conditions apply: - If Z sits at an extreme end, then V must sit immediately next to W - If Z does not sit at an extreme end, then Y must sit at an extreme end - X cannot sit next to Z - W sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- W sits second from the left → W at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with W at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• Z W V Y X
• Z W V X Y
• V W X Y Z
• Y W Z V X
• X W Z V Y
• X W V Z Y
(shown up to 6)

Step 3: Test each MCQ option

- "W sits at position 2": ✓ Possible in at least one valid arrangement
- "Y sits at position 4": ✓ Possible in at least one valid arrangement
- "Z sits at position 1": ✓ Possible in at least one valid arrangement
- "Z sits at position 2": ✗ NEVER possible → must be FALSE

Step 4: Conclusion
"Z sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "Z sits at position 2" must be FALSE.

Question 7

Five persons Z, V, W, Y and X are to be seated in a row facing North. The following conditions apply: - If Z sits at an extreme end, then W must sit immediately next to V - If Z does not sit at an extreme end, then Y must sit at an extreme end - X cannot sit next to Z - V sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- V sits second from the left → V at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with V at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• Z V W Y X
• Z V W X Y
• W V X Y Z
• Y V Z W X
• X V Z W Y
• X V W Z Y
(shown up to 6)

Step 3: Test each MCQ option

- "W sits at position 3": ✓ Possible in at least one valid arrangement
- "Z sits at position 1": ✓ Possible in at least one valid arrangement
- "Z sits at position 5": ✓ Possible in at least one valid arrangement
- "Z sits at position 2": ✗ NEVER possible → must be FALSE

Step 4: Conclusion
"Z sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "Z sits at position 2" must be FALSE.

Question 8

Five persons W, Z, Y, V and X are to be seated in a row facing North. The following conditions apply: - If W sits at an extreme end, then Y must sit immediately next to Z - If W does not sit at an extreme end, then V must sit at an extreme end - X cannot sit next to W - Z sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- Z sits second from the left → Z at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with Z at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• W Z Y V X
• W Z Y X V
• Y Z X V W
• V Z W Y X
• X Z W Y V
• X Z Y W V
(shown up to 6)

Step 3: Test each MCQ option

- "Z sits at position 2": ✓ Possible in at least one valid arrangement
- "X sits at position 4": ✓ Possible in at least one valid arrangement
- "V sits at position 1": ✓ Possible in at least one valid arrangement
- "W sits at position 2": ✗ NEVER possible → must be FALSE

Step 4: Conclusion
"W sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "W sits at position 2" must be FALSE.

Question 9

Five persons W, V, Y, X and Z are to be seated in a row facing North. The following conditions apply: - If W sits at an extreme end, then Y must sit immediately next to V - If W does not sit at an extreme end, then X must sit at an extreme end - Z cannot sit next to W - V sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- V sits second from the left → V at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with V at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• W V Y X Z
• W V Y Z X
• Y V Z X W
• X V W Y Z
• Z V W Y X
• Z V Y W X
(shown up to 6)

Step 3: Test each MCQ option

- "W sits at position 3": ✓ Possible in at least one valid arrangement
- "X sits at position 5": ✓ Possible in at least one valid arrangement
- "W sits at position 2": ✗ NEVER possible → must be FALSE
- "W sits at position 5": ✓ Possible in at least one valid arrangement

Step 4: Conclusion
"W sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "W sits at position 2" must be FALSE.

Question 10

Five persons X, V, W, Y and Z are to be seated in a row facing North. The following conditions apply: - If X sits at an extreme end, then W must sit immediately next to V - If X does not sit at an extreme end, then Y must sit at an extreme end - Z cannot sit next to X - V sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- V sits second from the left → V at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with V at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• X V W Y Z
• X V W Z Y
• W V Z Y X
• Y V X W Z
• Z V X W Y
• Z V W X Y
(shown up to 6)

Step 3: Test each MCQ option

- "X sits at position 1": ✓ Possible in at least one valid arrangement
- "Y sits at position 4": ✓ Possible in at least one valid arrangement
- "X sits at position 5": ✓ Possible in at least one valid arrangement
- "X sits at position 2": ✗ NEVER possible → must be FALSE

Step 4: Conclusion
"X sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "X sits at position 2" must be FALSE.

Question 11

Five persons W, Y, V, X and Z are to be seated in a row facing North. The following conditions apply: - If W sits at an extreme end, then V must sit immediately next to Y - If W does not sit at an extreme end, then X must sit at an extreme end - Z cannot sit next to W - Y sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- Y sits second from the left → Y at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with Y at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• W Y V X Z
• W Y V Z X
• V Y Z X W
• X Y W V Z
• Z Y W V X
• Z Y V W X
(shown up to 6)

Step 3: Test each MCQ option

- "W sits at position 2": ✗ NEVER possible → must be FALSE
- "Z sits at position 4": ✓ Possible in at least one valid arrangement
- "V sits at position 1": ✓ Possible in at least one valid arrangement
- "X sits at position 5": ✓ Possible in at least one valid arrangement

Step 4: Conclusion
"W sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "W sits at position 2" must be FALSE.

Question 12

Five persons Z, X, Y, W and V are to be seated in a row facing North. The following conditions apply: - If Z sits at an extreme end, then Y must sit immediately next to X - If Z does not sit at an extreme end, then W must sit at an extreme end - V cannot sit next to Z - X sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- X sits second from the left → X at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with X at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• Z X Y W V
• Z X Y V W
• Y X V W Z
• W X Z Y V
• V X Z Y W
• V X Y Z W
(shown up to 6)

Step 3: Test each MCQ option

- "Z sits at position 2": ✗ NEVER possible → must be FALSE
- "Z sits at position 3": ✓ Possible in at least one valid arrangement
- "Z sits at position 1": ✓ Possible in at least one valid arrangement
- "Y sits at position 3": ✓ Possible in at least one valid arrangement

Step 4: Conclusion
"Z sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "Z sits at position 2" must be FALSE.

Question 13

Five persons V, Y, Z, W and X are to be seated in a row facing North. The following conditions apply: - If V sits at an extreme end, then Z must sit immediately next to Y - If V does not sit at an extreme end, then W must sit at an extreme end - X cannot sit next to V - Y sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- Y sits second from the left → Y at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with Y at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• V Y Z W X
• V Y Z X W
• Z Y X W V
• W Y V Z X
• X Y V Z W
• X Y Z V W
(shown up to 6)

Step 3: Test each MCQ option

- "X sits at position 5": ✓ Possible in at least one valid arrangement
- "V sits at position 5": ✓ Possible in at least one valid arrangement
- "V sits at position 1": ✓ Possible in at least one valid arrangement
- "V sits at position 2": ✗ NEVER possible → must be FALSE

Step 4: Conclusion
"V sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "V sits at position 2" must be FALSE.

Question 14

Five persons X, W, Y, V and Z are to be seated in a row facing North. The following conditions apply: - If X sits at an extreme end, then Y must sit immediately next to W - If X does not sit at an extreme end, then V must sit at an extreme end - Z cannot sit next to X - W sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- W sits second from the left → W at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with W at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• X W Y V Z
• X W Y Z V
• Y W Z V X
• V W X Y Z
• Z W X Y V
• Z W Y X V
(shown up to 6)

Step 3: Test each MCQ option

- "Z sits at position 5": ✓ Possible in at least one valid arrangement
- "X sits at position 2": ✗ NEVER possible → must be FALSE
- "Z sits at position 1": ✓ Possible in at least one valid arrangement
- "Y sits at position 1": ✓ Possible in at least one valid arrangement

Step 4: Conclusion
"X sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "X sits at position 2" must be FALSE.

Question 15

Five persons Y, W, X, V and Z are to be seated in a row facing North. The following conditions apply: - If Y sits at an extreme end, then X must sit immediately next to W - If Y does not sit at an extreme end, then V must sit at an extreme end - Z cannot sit next to Y - W sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- W sits second from the left → W at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with W at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• Y W X V Z
• Y W X Z V
• X W Z V Y
• V W Y X Z
• Z W Y X V
• Z W X Y V
(shown up to 6)

Step 3: Test each MCQ option

- "V sits at position 5": ✓ Possible in at least one valid arrangement
- "Z sits at position 4": ✓ Possible in at least one valid arrangement
- "Y sits at position 4": ✓ Possible in at least one valid arrangement
- "Y sits at position 2": ✗ NEVER possible → must be FALSE

Step 4: Conclusion
"Y sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "Y sits at position 2" must be FALSE.

Question 16

Five persons X, Y, W, V and Z are to be seated in a row facing North. The following conditions apply: - If X sits at an extreme end, then W must sit immediately next to Y - If X does not sit at an extreme end, then V must sit at an extreme end - Z cannot sit next to X - Y sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- Y sits second from the left → Y at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with Y at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• X Y W V Z
• X Y W Z V
• W Y Z V X
• V Y X W Z
• Z Y X W V
• Z Y W X V
(shown up to 6)

Step 3: Test each MCQ option

- "X sits at position 4": ✓ Possible in at least one valid arrangement
- "Y sits at position 2": ✓ Possible in at least one valid arrangement
- "X sits at position 2": ✗ NEVER possible → must be FALSE
- "W sits at position 1": ✓ Possible in at least one valid arrangement

Step 4: Conclusion
"X sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "X sits at position 2" must be FALSE.

Question 17

Five persons V, X, Y, W and Z are to be seated in a row facing North. The following conditions apply: - If V sits at an extreme end, then Y must sit immediately next to X - If V does not sit at an extreme end, then W must sit at an extreme end - Z cannot sit next to V - X sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- X sits second from the left → X at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with X at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• V X Y W Z
• V X Y Z W
• Y X Z W V
• W X V Y Z
• Z X V Y W
• Z X Y V W
(shown up to 6)

Step 3: Test each MCQ option

- "V sits at position 2": ✗ NEVER possible → must be FALSE
- "V sits at position 4": ✓ Possible in at least one valid arrangement
- "W sits at position 4": ✓ Possible in at least one valid arrangement
- "Y sits at position 1": ✓ Possible in at least one valid arrangement

Step 4: Conclusion
"V sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "V sits at position 2" must be FALSE.

Question 18

Five persons Z, W, Y, V and X are to be seated in a row facing North. The following conditions apply: - If Z sits at an extreme end, then Y must sit immediately next to W - If Z does not sit at an extreme end, then V must sit at an extreme end - X cannot sit next to Z - W sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- W sits second from the left → W at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with W at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• Z W Y V X
• Z W Y X V
• Y W X V Z
• V W Z Y X
• X W Z Y V
• X W Y Z V
(shown up to 6)

Step 3: Test each MCQ option

- "Y sits at position 4": ✓ Possible in at least one valid arrangement
- "Z sits at position 1": ✓ Possible in at least one valid arrangement
- "Z sits at position 2": ✗ NEVER possible → must be FALSE
- "X sits at position 3": ✓ Possible in at least one valid arrangement

Step 4: Conclusion
"Z sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "Z sits at position 2" must be FALSE.

Question 19

Five persons W, Y, Z, X and V are to be seated in a row facing North. The following conditions apply: - If W sits at an extreme end, then Z must sit immediately next to Y - If W does not sit at an extreme end, then X must sit at an extreme end - V cannot sit next to W - Y sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- Y sits second from the left → Y at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with Y at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• W Y Z X V
• W Y Z V X
• Z Y V X W
• X Y W Z V
• V Y W Z X
• V Y Z W X
(shown up to 6)

Step 3: Test each MCQ option

- "W sits at position 2": ✗ NEVER possible → must be FALSE
- "X sits at position 4": ✓ Possible in at least one valid arrangement
- "V sits at position 1": ✓ Possible in at least one valid arrangement
- "Z sits at position 4": ✓ Possible in at least one valid arrangement

Step 4: Conclusion
"W sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "W sits at position 2" must be FALSE.

Question 20

Five persons Z, Y, W, X and V are to be seated in a row facing North. The following conditions apply: - If Z sits at an extreme end, then W must sit immediately next to Y - If Z does not sit at an extreme end, then X must sit at an extreme end - V cannot sit next to Z - Y sits second from the left Which of the following must be FALSE?
Solution Approach:

Step 1: Apply the fixed condition
- Y sits second from the left → Y at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with Y at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• Z Y W X V
• Z Y W V X
• W Y V X Z
• X Y Z W V
• V Y Z W X
• V Y W Z X
(shown up to 6)

Step 3: Test each MCQ option

- "X sits at position 5": ✓ Possible in at least one valid arrangement
- "Z sits at position 2": ✗ NEVER possible → must be FALSE
- "V sits at position 5": ✓ Possible in at least one valid arrangement
- "Z sits at position 5": ✓ Possible in at least one valid arrangement

Step 4: Conclusion
"Z sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "Z sits at position 2" must be FALSE.
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