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Ambiguous Arrangement Beginner-Intermediate Worksheet: Focus on common variations practice Ambiguous Arrangement BEGINNER INTERMEDIATE

Level up your Ambiguous Arrangement skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: ambiguous arrangement for competitive exams, how to solve ambiguous arrangement, ambiguous arrangement tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

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Your progress through Ambiguous Arrangement
Worksheet 4 of 10 (33% complete)

Question 1

Six people sit in a row facing North. Conditions: - Kaira sits at the extreme right end (Position 6). - There are three people sitting between Cyrus and Eshan. - Mira sits third to the right of Eshan. - Neither Sahil nor Priya sits at any extreme end. Question: Who is sitting at the immediate right of Mira?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Eshan, Sahil, Priya, Mira, Cyrus, Kaira
- Case 2: Eshan, Priya, Sahil, Mira, Cyrus, Kaira
The person immediately right of E is F in both valid cases, so the answer is uniquely determined.

Question 2

Six people sit in a row facing North. Conditions: - Xavier sits at the extreme right end (Position 6). - There are three people sitting between Mira and Wafa. - Aarav sits third to the right of Wafa. - Neither Qadir nor Hina sits at any extreme end. Question: Who is sitting at the immediate right of Aarav?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Wafa, Qadir, Hina, Aarav, Mira, Xavier
- Case 2: Wafa, Hina, Qadir, Aarav, Mira, Xavier
The person immediately right of E is F in both valid cases, so the answer is uniquely determined.

Question 3

Six people sit in a row facing North. Conditions: - Mira sits at the extreme right end (Position 6). - There are three people sitting between Diya and Rhea. - Tara sits third to the right of Rhea. - Neither Gaurav nor Vihaan sits at any extreme end. Question: Who is sitting second from the left end (Position 2)?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Rhea, Gaurav, Vihaan, Tara, Diya, Mira
- Case 2: Rhea, Vihaan, Gaurav, Tara, Diya, Mira
Since the person at Position 2 is either A or C (and both cases are valid), the answer is 'Cannot be determined'.

Question 4

Six people sit in a row facing North. Conditions: - Tara sits at the extreme right end (Position 6). - There are three people sitting between Rhea and Zoya. - Yash sits third to the right of Zoya. - Neither Cyrus nor Hina sits at any extreme end. Question: Who is sitting at the immediate right of Yash?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Zoya, Cyrus, Hina, Yash, Rhea, Tara
- Case 2: Zoya, Hina, Cyrus, Yash, Rhea, Tara
The person immediately right of E is F in both valid cases, so the answer is uniquely determined.

Question 5

Six people sit in a row facing North. Conditions: - Uma sits at the extreme right end (Position 6). - There are three people sitting between Laksh and Eshan. - Gaurav sits third to the right of Eshan. - Neither Fatima nor Tara sits at any extreme end. Question: Who is sitting at the immediate right of Gaurav?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Eshan, Fatima, Tara, Gaurav, Laksh, Uma
- Case 2: Eshan, Tara, Fatima, Gaurav, Laksh, Uma
The person immediately right of E is F in both valid cases, so the answer is uniquely determined.

Question 6

Six people sit in a row facing North. Conditions: - Xavier sits at the extreme right end (Position 6). - There are three people sitting between Priya and Uma. - Fatima sits third to the right of Uma. - Neither Cyrus nor Rhea sits at any extreme end. Question: Who is sitting at the immediate right of Fatima?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Uma, Cyrus, Rhea, Fatima, Priya, Xavier
- Case 2: Uma, Rhea, Cyrus, Fatima, Priya, Xavier
The person immediately right of E is F in both valid cases, so the answer is uniquely determined.

Question 7

Six people sit in a row facing North. Conditions: - Eshan sits at the extreme right end (Position 6). - There are three people sitting between Sahil and Yash. - Mira sits third to the right of Yash. - Neither Wafa nor Zoya sits at any extreme end. Question: Who is sitting at the immediate right of Mira?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Yash, Wafa, Zoya, Mira, Sahil, Eshan
- Case 2: Yash, Zoya, Wafa, Mira, Sahil, Eshan
The person immediately right of E is F in both valid cases, so the answer is uniquely determined.

Question 8

Six people sit in a row facing North. Conditions: - Rhea sits at the extreme right end (Position 6). - There are three people sitting between Xavier and Tara. - Nihal sits third to the right of Tara. - Neither Cyrus nor Eshan sits at any extreme end. Question: Who is sitting at the immediate right of Nihal?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Tara, Cyrus, Eshan, Nihal, Xavier, Rhea
- Case 2: Tara, Eshan, Cyrus, Nihal, Xavier, Rhea
The person immediately right of E is F in both valid cases, so the answer is uniquely determined.

Question 9

Six people sit in a row facing North. Conditions: - Qadir sits at the extreme right end (Position 6). - There are three people sitting between Gaurav and Tara. - Vihaan sits third to the right of Tara. - Neither Ira nor Priya sits at any extreme end. Question: Who is sitting at the immediate right of Vihaan?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Tara, Ira, Priya, Vihaan, Gaurav, Qadir
- Case 2: Tara, Priya, Ira, Vihaan, Gaurav, Qadir
The person immediately right of E is F in both valid cases, so the answer is uniquely determined.

Question 10

Six people sit in a row facing North. Conditions: - Rhea sits at the extreme right end (Position 6). - There are three people sitting between Diya and Nihal. - Bhavya sits third to the right of Nihal. - Neither Fatima nor Tara sits at any extreme end. Question: Who is sitting second from the left end (Position 2)?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Nihal, Fatima, Tara, Bhavya, Diya, Rhea
- Case 2: Nihal, Tara, Fatima, Bhavya, Diya, Rhea
Since the person at Position 2 is either A or C (and both cases are valid), the answer is 'Cannot be determined'.

Question 11

Six people sit in a row facing North. Conditions: - Fatima sits at the extreme right end (Position 6). - There are three people sitting between Qadir and Wafa. - Uma sits third to the right of Wafa. - Neither Eshan nor Bhavya sits at any extreme end. Question: Who is sitting second from the left end (Position 2)?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Wafa, Eshan, Bhavya, Uma, Qadir, Fatima
- Case 2: Wafa, Bhavya, Eshan, Uma, Qadir, Fatima
Since the person at Position 2 is either A or C (and both cases are valid), the answer is 'Cannot be determined'.

Question 12

Six people sit in a row facing North. Conditions: - Bhavya sits at the extreme right end (Position 6). - There are three people sitting between Qadir and Rhea. - Gaurav sits third to the right of Rhea. - Neither Omar nor Kaira sits at any extreme end. Question: Who is sitting at the immediate right of Gaurav?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Rhea, Omar, Kaira, Gaurav, Qadir, Bhavya
- Case 2: Rhea, Kaira, Omar, Gaurav, Qadir, Bhavya
The person immediately right of E is F in both valid cases, so the answer is uniquely determined.

Question 13

Six people sit in a row facing North. Conditions: - Hina sits at the extreme right end (Position 6). - There are three people sitting between Cyrus and Bhavya. - Nihal sits third to the right of Bhavya. - Neither Omar nor Mira sits at any extreme end. Question: Who is sitting second from the left end (Position 2)?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Bhavya, Omar, Mira, Nihal, Cyrus, Hina
- Case 2: Bhavya, Mira, Omar, Nihal, Cyrus, Hina
Since the person at Position 2 is either A or C (and both cases are valid), the answer is 'Cannot be determined'.

Question 14

Six people sit in a row facing North. Conditions: - Tara sits at the extreme right end (Position 6). - There are three people sitting between Kaira and Bhavya. - Ira sits third to the right of Bhavya. - Neither Diya nor Hina sits at any extreme end. Question: Who is sitting second from the left end (Position 2)?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Bhavya, Diya, Hina, Ira, Kaira, Tara
- Case 2: Bhavya, Hina, Diya, Ira, Kaira, Tara
Since the person at Position 2 is either A or C (and both cases are valid), the answer is 'Cannot be determined'.

Question 15

Six people sit in a row facing North. Conditions: - Bhavya sits at the extreme right end (Position 6). - There are three people sitting between Cyrus and Uma. - Diya sits third to the right of Uma. - Neither Vihaan nor Hina sits at any extreme end. Question: Who is sitting second from the left end (Position 2)?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Uma, Vihaan, Hina, Diya, Cyrus, Bhavya
- Case 2: Uma, Hina, Vihaan, Diya, Cyrus, Bhavya
Since the person at Position 2 is either A or C (and both cases are valid), the answer is 'Cannot be determined'.

Question 16

Six people sit in a row facing North. Conditions: - Fatima sits at the extreme right end (Position 6). - There are three people sitting between Mira and Wafa. - Cyrus sits third to the right of Wafa. - Neither Nihal nor Aarav sits at any extreme end. Question: Who is sitting at the immediate right of Cyrus?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Wafa, Nihal, Aarav, Cyrus, Mira, Fatima
- Case 2: Wafa, Aarav, Nihal, Cyrus, Mira, Fatima
The person immediately right of E is F in both valid cases, so the answer is uniquely determined.

Question 17

Six people sit in a row facing North. Conditions: - Gaurav sits at the extreme right end (Position 6). - There are three people sitting between Wafa and Xavier. - Jatin sits third to the right of Xavier. - Neither Cyrus nor Sahil sits at any extreme end. Question: Who is sitting second from the left end (Position 2)?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Xavier, Cyrus, Sahil, Jatin, Wafa, Gaurav
- Case 2: Xavier, Sahil, Cyrus, Jatin, Wafa, Gaurav
Since the person at Position 2 is either A or C (and both cases are valid), the answer is 'Cannot be determined'.

Question 18

Six people sit in a row facing North. Conditions: - Priya sits at the extreme right end (Position 6). - There are three people sitting between Zoya and Bhavya. - Fatima sits third to the right of Bhavya. - Neither Kaira nor Cyrus sits at any extreme end. Question: Who is sitting at the immediate right of Fatima?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Bhavya, Kaira, Cyrus, Fatima, Zoya, Priya
- Case 2: Bhavya, Cyrus, Kaira, Fatima, Zoya, Priya
The person immediately right of E is F in both valid cases, so the answer is uniquely determined.

Question 19

Six people sit in a row facing North. Conditions: - Uma sits at the extreme right end (Position 6). - There are three people sitting between Yash and Aarav. - Priya sits third to the right of Aarav. - Neither Sahil nor Omar sits at any extreme end. Question: Who is sitting second from the left end (Position 2)?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Aarav, Sahil, Omar, Priya, Yash, Uma
- Case 2: Aarav, Omar, Sahil, Priya, Yash, Uma
Since the person at Position 2 is either A or C (and both cases are valid), the answer is 'Cannot be determined'.

Question 20

Six people sit in a row facing North. Conditions: - Bhavya sits at the extreme right end (Position 6). - There are three people sitting between Cyrus and Vihaan. - Laksh sits third to the right of Vihaan. - Neither Wafa nor Hina sits at any extreme end. Question: Who is sitting second from the left end (Position 2)?
Ambiguity Strategy: Proving Non-Unique Solution
Step 1: Fix D (P6). Use the 'three between' clue (Clue 2) to determine the positions of F (P5) and B (P1).
Step 2: Use E's position (Clue 3) to fix E (P4).
The arrangement is fixed at: B, P2, P3, E, F, D.
Step 3: The remaining people are A and C for positions P2 and P3. Clue 4 prevents them from being at the ends, leaving two cases:
- Case 1: Vihaan, Wafa, Hina, Laksh, Cyrus, Bhavya
- Case 2: Vihaan, Hina, Wafa, Laksh, Cyrus, Bhavya
Since the person at Position 2 is either A or C (and both cases are valid), the answer is 'Cannot be determined'.
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