Temporal Ordering Linear | Worksheet 7/10 - Intermediate-Advanced s...

Question 1

7 tasks (A, B, C, D, E, F, G) are to be completed one after the other. The following conditions must be met: - Task A must be performed immediately after Task C. - Task B must be completed before Task F. - Task E is neither the first nor the last task to be completed. - Task G is performed exactly 2 positions after Task D. Which task is scheduled in the fourth position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'A immediately after C' -> (C, A)
2. Apply Before Constraint: 'B before F'
3. Apply Exclusion Constraint: 'E not first or last'
4. Apply Gap Constraints: 'G is 2 after D'

Final Sequence: B → C → A → D → E → G → F

Answer: The task in the fourth position is D.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 2

5 tasks (A, B, C, D, E) are to be completed one after the other. The following conditions must be met: - Task C must be performed immediately after Task E. - Task B must be completed before Task A. - Task D is neither the first nor the last task to be completed. - Task B is performed exactly 3 positions after Task A. Which task is scheduled in the third position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'C immediately after E' -> (E, C)
2. Apply Before Constraint: 'B before A'
3. Apply Exclusion Constraint: 'D not first or last'
4. Apply Gap Constraints: 'B is 3 after A'

Final Sequence: A → B → C → D → E

Answer: The task in the third position is C.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 3

6 tasks (A, B, C, D, E, F) are to be completed one after the other. The following conditions must be met: - Task E must be performed immediately after Task C. - Task B must be completed before Task D. - Task F is neither the first nor the last task to be completed. - Task D is performed exactly 2 positions after Task F. Which task is scheduled in the fourth position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'E immediately after C' -> (C, E)
2. Apply Before Constraint: 'B before D'
3. Apply Exclusion Constraint: 'F not first or last'
4. Apply Gap Constraints: 'D is 2 after F'

Final Sequence: A → C → E → F → B → D

Answer: The task in the fourth position is F.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 4

6 tasks (A, B, C, D, E, F) are to be completed one after the other. The following conditions must be met: - Task B must be performed immediately after Task A. - Task F must be completed before Task E. - Task D is neither the first nor the last task to be completed. - Task E is performed exactly 4 positions after Task D. Which task is scheduled in the second position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'B immediately after A' -> (A, B)
2. Apply Before Constraint: 'F before E'
3. Apply Exclusion Constraint: 'D not first or last'
4. Apply Gap Constraints: 'E is 4 after D'

Final Sequence: C → D → A → B → F → E

Answer: The task in the second position is D.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 5

7 tasks (A, B, C, D, E, F, G) are to be completed one after the other. The following conditions must be met: - Task E must be performed immediately after Task B. - Task G must be completed before Task F. - Task C is neither the first nor the last task to be completed. - Task A is performed exactly 2 positions after Task D. Which task is scheduled in the third position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'E immediately after B' -> (B, E)
2. Apply Before Constraint: 'G before F'
3. Apply Exclusion Constraint: 'C not first or last'
4. Apply Gap Constraints: 'A is 2 after D'

Final Sequence: A → C → D → B → E → G → F

Answer: The task in the third position is D.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 6

5 tasks (A, B, C, D, E) are to be completed one after the other. The following conditions must be met: - Task D must be performed immediately after Task E. - Task C must be completed before Task B. - Task A is neither the first nor the last task to be completed. - Task A is performed exactly 3 positions after Task B. Which task is scheduled in the fourth position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'D immediately after E' -> (E, D)
2. Apply Before Constraint: 'C before B'
3. Apply Exclusion Constraint: 'A not first or last'
4. Apply Gap Constraints: 'A is 3 after B'

Final Sequence: C → A → E → D → B

Answer: The task in the fourth position is D.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 7

5 tasks (A, B, C, D, E) are to be completed one after the other. The following conditions must be met: - Task C must be performed immediately after Task E. - Task B must be completed before Task A. - Task D is neither the first nor the last task to be completed. - Task B is performed exactly 1 positions after Task D. Which task is scheduled in the fourth position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'C immediately after E' -> (E, C)
2. Apply Before Constraint: 'B before A'
3. Apply Exclusion Constraint: 'D not first or last'
4. Apply Gap Constraints: 'B is 1 after D'

Final Sequence: B → D → A → E → C

Answer: The task in the fourth position is E.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 8

6 tasks (A, B, C, D, E, F) are to be completed one after the other. The following conditions must be met: - Task A must be performed immediately after Task C. - Task D must be completed before Task B. - Task E is neither the first nor the last task to be completed. - Task B is performed exactly 4 positions after Task E. Which task is scheduled in the fifth position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'A immediately after C' -> (C, A)
2. Apply Before Constraint: 'D before B'
3. Apply Exclusion Constraint: 'E not first or last'
4. Apply Gap Constraints: 'B is 4 after E'

Final Sequence: D → E → C → A → F → B

Answer: The task in the fifth position is F.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 9

7 tasks (A, B, C, D, E, F, G) are to be completed one after the other. The following conditions must be met: - Task D must be performed immediately after Task F. - Task E must be completed before Task C. - Task G is neither the first nor the last task to be completed. - Task A is performed exactly 2 positions after Task B. Which task is scheduled in the third position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'D immediately after F' -> (F, D)
2. Apply Before Constraint: 'E before C'
3. Apply Exclusion Constraint: 'G not first or last'
4. Apply Gap Constraints: 'A is 2 after B'

Final Sequence: A → E → B → C → G → F → D

Answer: The task in the third position is B.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 10

5 tasks (A, B, C, D, E) are to be completed one after the other. The following conditions must be met: - Task D must be performed immediately after Task C. - Task B must be completed before Task A. - Task E is neither the first nor the last task to be completed. - Task B is performed exactly 3 positions after Task E. Which task is scheduled in the fourth position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'D immediately after C' -> (C, D)
2. Apply Before Constraint: 'B before A'
3. Apply Exclusion Constraint: 'E not first or last'
4. Apply Gap Constraints: 'B is 3 after E'

Final Sequence: B → C → D → E → A

Answer: The task in the fourth position is E.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 11

5 tasks (A, B, C, D, E) are to be completed one after the other. The following conditions must be met: - Task E must be performed immediately after Task C. - Task D must be completed before Task B. - Task A is neither the first nor the last task to be completed. - Task A is performed exactly 1 positions after Task D. Which task is scheduled in the fourth position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'E immediately after C' -> (C, E)
2. Apply Before Constraint: 'D before B'
3. Apply Exclusion Constraint: 'A not first or last'
4. Apply Gap Constraints: 'A is 1 after D'

Final Sequence: C → E → A → D → B

Answer: The task in the fourth position is D.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 12

6 tasks (A, B, C, D, E, F) are to be completed one after the other. The following conditions must be met: - Task E must be performed immediately after Task D. - Task A must be completed before Task F. - Task B is neither the first nor the last task to be completed. - Task C is performed exactly 2 positions after Task A. Which task is scheduled in the fifth position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'E immediately after D' -> (D, E)
2. Apply Before Constraint: 'A before F'
3. Apply Exclusion Constraint: 'B not first or last'
4. Apply Gap Constraints: 'C is 2 after A'

Final Sequence: A → B → C → D → E → F

Answer: The task in the fifth position is E.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 13

7 tasks (A, B, C, D, E, F, G) are to be completed one after the other. The following conditions must be met: - Task C must be performed immediately after Task F. - Task B must be completed before Task G. - Task E is neither the first nor the last task to be completed. - Task D is performed exactly 2 positions after Task A. Which task is scheduled in the fifth position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'C immediately after F' -> (F, C)
2. Apply Before Constraint: 'B before G'
3. Apply Exclusion Constraint: 'E not first or last'
4. Apply Gap Constraints: 'D is 2 after A'

Final Sequence: A → B → D → E → F → C → G

Answer: The task in the fifth position is F.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 14

7 tasks (A, B, C, D, E, F, G) are to be completed one after the other. The following conditions must be met: - Task F must be performed immediately after Task A. - Task C must be completed before Task G. - Task E is neither the first nor the last task to be completed. - Task B is performed exactly 3 positions after Task D. Which task is scheduled in the sixth position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'F immediately after A' -> (A, F)
2. Apply Before Constraint: 'C before G'
3. Apply Exclusion Constraint: 'E not first or last'
4. Apply Gap Constraints: 'B is 3 after D'

Final Sequence: A → F → B → C → E → D → G

Answer: The task in the sixth position is D.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 15

5 tasks (A, B, C, D, E) are to be completed one after the other. The following conditions must be met: - Task C must be performed immediately after Task E. - Task B must be completed before Task A. - Task D is neither the first nor the last task to be completed. - Task B is performed exactly 3 positions after Task A. Which task is scheduled in the third position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'C immediately after E' -> (E, C)
2. Apply Before Constraint: 'B before A'
3. Apply Exclusion Constraint: 'D not first or last'
4. Apply Gap Constraints: 'B is 3 after A'

Final Sequence: A → B → C → D → E

Answer: The task in the third position is C.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 16

5 tasks (A, B, C, D, E) are to be completed one after the other. The following conditions must be met: - Task D must be performed immediately after Task E. - Task A must be completed before Task B. - Task C is neither the first nor the last task to be completed. - Task B is performed exactly 3 positions after Task C. Which task is scheduled in the third position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'D immediately after E' -> (E, D)
2. Apply Before Constraint: 'A before B'
3. Apply Exclusion Constraint: 'C not first or last'
4. Apply Gap Constraints: 'B is 3 after C'

Final Sequence: A → C → E → D → B

Answer: The task in the third position is E.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 17

7 tasks (A, B, C, D, E, F, G) are to be completed one after the other. The following conditions must be met: - Task G must be performed immediately after Task C. - Task D must be completed before Task E. - Task F is neither the first nor the last task to be completed. - Task A is performed exactly 1 positions after Task B. Which task is scheduled in the fourth position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'G immediately after C' -> (C, G)
2. Apply Before Constraint: 'D before E'
3. Apply Exclusion Constraint: 'F not first or last'
4. Apply Gap Constraints: 'A is 1 after B'

Final Sequence: A → B → C → G → D → F → E

Answer: The task in the fourth position is G.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 18

6 tasks (A, B, C, D, E, F) are to be completed one after the other. The following conditions must be met: - Task A must be performed immediately after Task C. - Task B must be completed before Task D. - Task F is neither the first nor the last task to be completed. - Task E is performed exactly 1 positions after Task F. Which task is scheduled in the fourth position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'A immediately after C' -> (C, A)
2. Apply Before Constraint: 'B before D'
3. Apply Exclusion Constraint: 'F not first or last'
4. Apply Gap Constraints: 'E is 1 after F'

Final Sequence: B → C → A → D → F → E

Answer: The task in the fourth position is D.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 19

6 tasks (A, B, C, D, E, F) are to be completed one after the other. The following conditions must be met: - Task C must be performed immediately after Task B. - Task A must be completed before Task D. - Task F is neither the first nor the last task to be completed. - Task F is performed exactly 2 positions after Task A. Which task is scheduled in the third position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'C immediately after B' -> (B, C)
2. Apply Before Constraint: 'A before D'
3. Apply Exclusion Constraint: 'F not first or last'
4. Apply Gap Constraints: 'F is 2 after A'

Final Sequence: A → D → F → B → C → E

Answer: The task in the third position is F.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Question 20

7 tasks (A, B, C, D, E, F, G) are to be completed one after the other. The following conditions must be met: - Task E must be performed immediately after Task G. - Task D must be completed before Task C. - Task B is neither the first nor the last task to be completed. - Task F is performed exactly 2 positions after Task A. Which task is scheduled in the third position?

Step-by-step solution (Deductive Logic):

1. Apply Consecutive Constraint: 'E immediately after G' -> (G, E)
2. Apply Before Constraint: 'D before C'
3. Apply Exclusion Constraint: 'B not first or last'
4. Apply Gap Constraints: 'F is 2 after A'

Final Sequence: A → B → F → D → C → G → E

Answer: The task in the third position is F.

Key Strategy: Use fixed pairs and gap constraints to anchor positions.

Master Temporal Ordering Linear - Intermediate-Advanced Level Problems Temporal Ordering Linear INTERMEDIATE ADVANCED

What you'll learn in this worksheet: