Scheduling Sets for Competitive Exam Success

Scheduling Sets

Q. In a project with tasks P, Q, R, S, and T, if P must precede Q and R must follow S, which of the following is a possible order?

A. P, Q, S, R, T
B. S, R, P, Q, T
C. Q, P, S, R, T
D. R, S, P, Q, T

Solution

The order P, Q, S, R, T satisfies the conditions that P is before Q and S is before R.

Correct Answer: A — P, Q, S, R, T

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Q. In a scheduling problem, if event P is scheduled for 10 AM and event Q cannot start before 11 AM, which of the following statements is true?

A. P and Q can occur simultaneously.
B. Q can start at 10:30 AM.
C. P must end before Q starts.
D. P can start after Q.

Solution

P must end before Q starts since Q cannot start before 11 AM.

Correct Answer: C — P must end before Q starts.

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Q. In a scheduling scenario, if event A is scheduled for 2 PM and event B for 4 PM, which of the following statements is correct?

A. Event A can be rescheduled to 3 PM.
B. Event B can start at 3:30 PM.
C. Event A must end before event B starts.
D. Event B can start at 2:30 PM.

Solution

Event A must end before event B starts to avoid overlap.

Correct Answer: C — Event A must end before event B starts.

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Q. In a scheduling scenario, if task A must be completed before task B and task C can be done at any time, which of the following is a possible order?

A. C, A, B
B. B, A, C
C. A, C, B
D. A, B, C

Solution

The order A, C, B is valid as A is before B and C can be done anytime.

Correct Answer: C — A, C, B

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Q. In a scheduling scenario, if task A takes 2 hours, task B takes 3 hours, and task C takes 1 hour, which of the following combinations allows for the earliest completion of all tasks if A must be done before B?

A. A, B, C
B. C, A, B
C. B, A, C
D. A, C, B

Solution

The combination C, A, B allows for the earliest completion since C takes the least time and can be done first.

Correct Answer: B — C, A, B

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Q. In a scheduling scenario, if task A takes 2 hours, task B takes 3 hours, and task C takes 1 hour, which of the following combinations can be completed in 5 hours?

A. A and B
B. B and C
C. A and C
D. A, B, and C

Solution

B and C can be completed in 4 hours, which is within the 5-hour limit.

Correct Answer: B — B and C

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Q. In a scheduling scenario, if task A takes longer than task B, which of the following can be inferred?

A. A must start before B.
B. B must start before A.
C. A cannot start until B is finished.
D. B can be completed while A is ongoing.

Solution

If A takes longer than B, it is possible for B to be completed while A is still ongoing.

Correct Answer: D — B can be completed while A is ongoing.

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Q. In a scheduling scenario, if task B cannot start until task A is finished, and task C cannot start until task B is finished, which of the following is a valid conclusion?

A. A must finish before C
B. B can start before A
C. C can start before B
D. A can start after C

Solution

A must finish before C can start, making the conclusion valid.

Correct Answer: A — A must finish before C

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Q. In a scheduling scenario, if task B is dependent on both tasks A and C being completed, which of the following sequences is valid?

A. C, A, B, D
B. A, B, C, D
C. B, A, C, D
D. A, C, D, B

Solution

C, A, B, D is valid as B starts after both A and C.

Correct Answer: A — C, A, B, D

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Q. In a scheduling scenario, if task E can only start after task D is completed, which of the following is a valid implication?

A. D can start after E
B. E can start before D
C. D must be completed before E
D. E and D can start simultaneously

Solution

E can only start after D is completed, making the implication true.

Correct Answer: C — D must be completed before E

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Q. In a scheduling scenario, if task F is dependent on tasks G and H, which of the following is a correct statement?

A. F can start before G and H
B. G and H must be completed before F
C. F can be completed at any time
D. H is independent of F

Solution

Task F can only start after both G and H are completed, making this statement correct.

Correct Answer: B — G and H must be completed before F

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Q. In a scheduling scenario, if task F must be completed before task G and task H can be done at any time, which of the following is true?

A. H must be done before F.
B. G can start before F.
C. F must be done before H.
D. G cannot start until F is done.

Solution

G cannot start until F is completed, as per the given condition.

Correct Answer: D — G cannot start until F is done.

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Q. In a scheduling scenario, if task J must be completed before task K, and task L can be done at any time, which of the following is true?

A. K can start before J.
B. L must be completed before J.
C. J must be completed before K, but L can be done anytime.
D. K must be completed before L.

Solution

J must be completed before K, while L's timing is independent of J and K.

Correct Answer: C — J must be completed before K, but L can be done anytime.

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Q. In a scheduling scenario, if task X must be completed before task Y, and task Y must be completed before task Z, which of the following is a valid inference?

A. X can start after Y
B. Z can start before Y
C. Y can start after X
D. Z must start after X

Solution

Z must start after X because X is a prerequisite for Y, which in turn is a prerequisite for Z.

Correct Answer: D — Z must start after X

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Q. In a scheduling scenario, if task X must be completed before task Y, and task Y must be completed before task Z, which of the following sequences is valid?

A. Z, Y, X
B. X, Y, Z
C. Y, Z, X
D. Z, X, Y

Solution

The sequence X, Y, Z respects the order that X is before Y and Y is before Z.

Correct Answer: B — X, Y, Z

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Q. In a scheduling set involving five friends, A, B, C, D, and E, if A cannot sit next to B, and C must sit between D and E, which of the following arrangements is valid?

A. A, C, D, E, B
B. B, A, C, E, D
C. D, C, E, A, B
D. C, D, A, B, E

Solution

The arrangement A, C, D, E, B satisfies the conditions as A is not next to B and C is between D and E.

Correct Answer: A — A, C, D, E, B

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Q. In a scheduling set involving five tasks A, B, C, D, and E, if task A must be completed before task B, and task C must be completed before task D, which of the following is a valid sequence?

A. A, B, C, D, E
B. C, D, A, B, E
C. B, A, D, C, E
D. E, A, C, D, B

Solution

The sequence A, B, C, D, E respects the constraints that A is before B and C is before D.

Correct Answer: A — A, B, C, D, E

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Q. In a scheduling set involving four tasks A, B, C, and D, if task A must be completed before task B, and task C cannot start until task D is finished, which of the following sequences is valid?

A. A, B, C, D
B. D, C, A, B
C. B, A, D, C
D. C, D, A, B

Solution

The only valid sequence is D, C, A, B, as it respects the constraints given.

Correct Answer: B — D, C, A, B

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Q. In a scheduling set, if task E can only start after both tasks A and D are completed, which of the following is a possible order?

A. A, D, E, B, C
B. D, A, B, C, E
C. E, A, D, B, C
D. B, C, A, D, E

Solution

The order A, D, E, B, C is valid as E starts after A and D.

Correct Answer: A — A, D, E, B, C

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Q. In a scheduling set, if task E can only start after task D and task D can only start after task C, which of the following is a valid order?

A. C, D, E, A
B. D, C, E, A
C. E, D, C, A
D. A, C, D, E

Solution

C, D, E, A is valid as E starts after D and D starts after C.

Correct Answer: A — C, D, E, A

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Q. In a scheduling set, if task E must be completed before task D, and task D must be completed before task C, which of the following sequences is valid?

A. C, D, E
B. E, D, C
C. D, C, E
D. E, C, D

Solution

The sequence E, D, C respects the order that E must be completed before D, and D must be completed before C.

Correct Answer: B — E, D, C

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Q. In a scheduling set, if task G must be completed before task H, and task H must be completed before task I, which of the following sequences is invalid?

A. G, H, I
B. H, G, I
C. G, I, H
D. I, H, G

Solution

The sequence H, G, I is invalid because H cannot precede G.

Correct Answer: B — H, G, I

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Q. In a scheduling set, if task J can only start after task K is completed, which of the following is a valid conclusion?

A. K can start after J
B. J can start at any time
C. K must be completed before J
D. J is independent of K

Solution

Task J can only start after K is completed, making this conclusion valid.

Correct Answer: C — K must be completed before J

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Q. In a set of tasks A, B, C, D, and E, if A must be done before B and C, and C must be done before D, which of the following is a possible order?

A. B, A, C, D, E
B. A, C, B, D, E
C. C, A, B, D, E
D. A, B, D, C, E

Solution

The order A, C, B, D, E satisfies the constraints that A is before B and C, and C is before D.

Correct Answer: B — A, C, B, D, E

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Q. In a set of tasks where A must be completed before B, and C must be completed before A, which of the following sequences is valid?

A. C, A, B
B. A, C, B
C. B, A, C
D. C, B, A

Solution

The sequence C, A, B respects the order of dependencies.

Correct Answer: A — C, A, B

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Q. In a set of tasks where A must be completed before C, and C must be completed before D, which of the following sequences is invalid?

A. A, C, D
B. C, A, D
C. A, D, C
D. D, C, A

Solution

The sequence C, A, D is invalid because C cannot be completed before A.

Correct Answer: B — C, A, D

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Q. In a set of tasks where A must be completed before D, and D must be completed before E, which of the following is a valid order?

A. E, D, A
B. A, D, E
C. D, A, E
D. A, E, D

Solution

The order A, D, E respects the constraints that A is before D and D is before E.

Correct Answer: B — A, D, E

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Q. In a set of tasks where A must precede B and C must follow B, which of the following is a correct order?

A. B, A, C
B. A, C, B
C. A, B, C
D. C, B, A

Solution

The order A, B, C respects the requirement that A precedes B and C follows B.

Correct Answer: C — A, B, C

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Q. In a set of tasks where task J must be completed before task K and task L can be done at any time, which of the following is a valid sequence?

A. K, J, L
B. J, K, L
C. L, J, K
D. J, L, K

Solution

The sequence J, K, L respects the condition that J must be completed before K.

Correct Answer: B — J, K, L

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Q. In a set of tasks where task J must precede task K and task L can occur at any time, which of the following sequences is valid?

A. K, J, L
B. J, L, K
C. L, K, J
D. J, K, L

Solution

The sequence J, L, K is valid as J is before K and L can occur anytime.

Correct Answer: B — J, L, K

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Scheduling Sets

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