Q. If tan(θ) = 1, what is the value of θ? (2020)
A.
0°
B.
30°
C.
45°
D.
60°
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Solution
tan(45°) = 1, so θ = 45°.
Correct Answer:
C
— 45°
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Q. If tan(θ) = 3/4, what is the value of sin(θ)?
A.
3/5
B.
4/5
C.
5/5
D.
1
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Solution
Using the identity sin²(θ) + cos²(θ) = 1, we find sin(θ) = 3/5.
Correct Answer:
A
— 3/5
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Q. If tan^(-1)(x) = π/4, then the value of x is:
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Solution
tan^(-1)(x) = π/4 implies that x = tan(π/4) = 1.
Correct Answer:
B
— 1
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Q. If task A must be completed before task B, and task B must be completed before task C, which of the following is a correct sequence?
A.
C, B, A
B.
B, A, C
C.
A, C, B
D.
A, B, C
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Solution
A, B, C is the correct sequence as it respects the order of dependencies.
Correct Answer:
D
— A, B, C
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Q. If task B cannot start until task A is completed, which of the following is a logical conclusion?
A.
A must be completed after B.
B.
B can start at the same time as A.
C.
B can only start after A is completed.
D.
A and B can be completed simultaneously.
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Solution
The condition states that B cannot start until A is completed, making this the only valid conclusion.
Correct Answer:
C
— B can only start after A is completed.
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Q. If task B cannot start until task A is finished, and task C can start at the same time as task A, which of the following is true?
A.
B starts before A
B.
C starts after A
C.
C can start before B
D.
A and B can start simultaneously
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Solution
C can start before B since it is only dependent on A.
Correct Answer:
C
— C can start before B
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Q. If task B must be completed after task A and before task C, which of the following sequences is valid?
A.
C, B, A
B.
A, B, C
C.
B, A, C
D.
A, C, B
Show solution
Solution
The sequence A, B, C correctly places B after A and before C.
Correct Answer:
B
— A, B, C
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Q. If task C can only start after both tasks A and B are completed, which of the following is a correct statement?
A.
C can start before A and B.
B.
C can start after A or B.
C.
C can start only after A and B.
D.
C can start at the same time as A.
Show solution
Solution
C's start is contingent upon the completion of both A and B, making option 3 correct.
Correct Answer:
C
— C can start only after A and B.
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Q. If task C cannot start until both tasks A and B are completed, which of the following is a valid conclusion?
A.
C can start before A
B.
C can start before B
C.
C can start only after A and B
D.
C can start simultaneously with A
Show solution
Solution
C can only start after both A and B are completed, making the conclusion valid.
Correct Answer:
C
— C can start only after A and B
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Q. If task C is dependent on both tasks A and B being completed, which of the following is a correct statement?
A.
C can start before A and B.
B.
C can start after A or B.
C.
C can start only after A and B.
D.
C can start at the same time as A.
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Solution
C can only start after both A and B are completed, as it is dependent on them.
Correct Answer:
C
— C can start only after A and B.
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Q. If task C must be completed before task A, and task A must be completed before task D, which of the following is a correct inference?
A.
C can start after A
B.
D can start before A
C.
A can start before C
D.
D can start only after C
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Solution
D can only start after both A and C are completed, making the inference correct.
Correct Answer:
D
— D can start only after C
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Q. If task D must be completed before task E and task F can only start after task D, which of the following is true?
A.
E can start before D.
B.
F can start before E.
C.
D must be completed before both E and F.
D.
E must be completed before D.
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Solution
D must be completed before both E and F, as per the given conditions.
Correct Answer:
C
— D must be completed before both E and F.
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Q. If task E can only start after tasks A and D are completed, which of the following is a correct statement regarding the scheduling of these tasks?
A.
E can start before A and D.
B.
E can start after A or D.
C.
E can start only after both A and D are completed.
D.
E can start at any time.
Show solution
Solution
E can only start after both A and D are completed, as per the given condition.
Correct Answer:
C
— E can start only after both A and D are completed.
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Q. If task E cannot start until both tasks A and C are completed, which of the following statements is true?
A.
E can start before A
B.
E can start before C
C.
E can start after A and C
D.
E can start only after A or C
Show solution
Solution
E can only start after both A and C are completed, making the statement true.
Correct Answer:
C
— E can start after A and C
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Q. If task E is dependent on both tasks A and D being completed, which of the following is a correct statement?
A.
E can start before A
B.
E can start before D
C.
E can start only after A and D
D.
E can start after A or D
Show solution
Solution
E can only start after both A and D are completed, making this statement correct.
Correct Answer:
C
— E can start only after A and D
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Q. If task F can only begin after tasks G and H are completed, and task H can only begin after task I, which of the following is true?
A.
F can start before G.
B.
H can start before I.
C.
F can start after I.
D.
G can start after H.
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Solution
F can start after I because H must be completed after I, and G must be completed before F.
Correct Answer:
C
— F can start after I.
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Q. If task F cannot start until both tasks D and E are completed, which of the following is a correct statement?
A.
F can start before D
B.
F can start before E
C.
F can start after D and E
D.
F can start only after D or E
Show solution
Solution
F can only start after both D and E are completed, making the statement correct.
Correct Answer:
C
— F can start after D and E
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Q. If task F must be completed before task G and task H can only start after task F, which of the following is true?
A.
G can start before F.
B.
H can start before G.
C.
F must be completed before both G and H.
D.
G must be completed before F.
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Solution
F must be completed before both G and H according to the given constraints.
Correct Answer:
C
— F must be completed before both G and H.
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Q. If task F must be completed before task G, and task G must be completed before task H, which of the following is a valid sequence?
A.
H, G, F
B.
F, H, G
C.
F, G, H
D.
G, F, H
Show solution
Solution
The sequence F, G, H respects the order that F is before G and G is before H.
Correct Answer:
C
— F, G, H
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Q. If task F must be completed before task G, and task H can only start after task F, which of the following is a correct inference?
A.
G can start before F.
B.
H can start before G.
C.
F must be completed before both G and H.
D.
G must be completed before H.
Show solution
Solution
F must be completed before both G and H, as G depends on F and H starts after F.
Correct Answer:
C
— F must be completed before both G and H.
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Q. If task J cannot start until task K is finished, and task K cannot start until task L is finished, which of the following is a correct inference?
A.
J can start before L.
B.
K can start before J.
C.
L must be completed before J.
D.
J can start at the same time as K.
Show solution
Solution
L must be completed before J can start, as J is dependent on K, which is dependent on L.
Correct Answer:
C
— L must be completed before J.
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Q. If task M can only be done after task N and task O, which of the following sequences is valid?
A.
N, O, M
B.
M, N, O
C.
O, M, N
D.
N, M, O
Show solution
Solution
The sequence N, O, M is valid as M is done after both N and O.
Correct Answer:
A
— N, O, M
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Q. If task M can only start after task N and task O, which of the following is a correct implication?
A.
M can start before N.
B.
M can start before O.
C.
M can start only after both N and O.
D.
M can start at the same time as N.
Show solution
Solution
M can only start after both N and O are completed, as per the given condition.
Correct Answer:
C
— M can start only after both N and O.
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Q. If task M must be completed before task N, and task N must be completed before task O, which of the following is a valid inference?
A.
M can start after N
B.
O can start before M
C.
N can start before M
D.
M must be completed before O
Show solution
Solution
Since M must be completed before N, and N before O, M must indeed be completed before O.
Correct Answer:
D
— M must be completed before O
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Q. If task M must be completed before task N, and task N must be completed before task O, which of the following is a valid sequence?
A.
O, N, M
B.
M, N, O
C.
N, O, M
D.
O, M, N
Show solution
Solution
The sequence M, N, O respects the order that M is before N and N is before O.
Correct Answer:
B
— M, N, O
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Q. If task Q must be completed before task R and task S can be done at any time, which of the following is a valid sequence?
A.
R, Q, S
B.
Q, S, R
C.
S, R, Q
D.
Q, R, S
Show solution
Solution
The sequence Q, R, S is valid as Q is before R and S can be done anytime.
Correct Answer:
D
— Q, R, S
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Q. If task T must be completed before task U, and task V can start at any time, which of the following is true?
A.
U can start before T.
B.
V must be completed before T.
C.
T must be completed before U, but V can start anytime.
D.
U must be completed before V.
Show solution
Solution
T must be completed before U, while V's timing is independent of T and U.
Correct Answer:
C
— T must be completed before U, but V can start anytime.
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Q. If task X is dependent on tasks Y and Z being completed first, which of the following statements is true?
A.
X can start before Y and Z
B.
Y and Z can start after X
C.
X can only start after Y and Z
D.
Y and Z are independent of X
Show solution
Solution
Task X can only start after both tasks Y and Z are completed, making this statement true.
Correct Answer:
C
— X can only start after Y and Z
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Q. If tasks A, B, and C are interdependent such that A must be completed before B, and B must be completed before C, which of the following is a valid order?
A.
C, B, A
B.
B, A, C
C.
A, B, C
D.
A, C, B
Show solution
Solution
The order A, B, C correctly follows the dependency that A precedes B and B precedes C.
Correct Answer:
C
— A, B, C
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Q. If tasks A, B, and C are interdependent such that A must precede B, and B must precede C, which of the following sequences is valid?
A.
C, B, A
B.
A, C, B
C.
A, B, C
D.
B, A, C
Show solution
Solution
The sequence A, B, C correctly follows the order of dependencies.
Correct Answer:
C
— A, B, C
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