Q. If set I = {1, 2, 3} and set J = {2, 3, 4}, what is the result of the operation I - J?
-
A.
{1}
-
B.
{2, 3}
-
C.
{4}
-
D.
{}
Solution
The operation I - J results in the elements of set I that are not in set J, which is {1}.
Correct Answer:
A
— {1}
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Q. If set P = {1, 2, 3, 4} and set Q = {3, 4, 5, 6}, what is the difference P - Q?
-
A.
{1, 2}
-
B.
{3, 4}
-
C.
{5, 6}
-
D.
{1, 2, 5, 6}
Solution
The difference P - Q includes elements in P that are not in Q, which is {1, 2}.
Correct Answer:
A
— {1, 2}
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Q. If set P = {x | x is an even number less than 10} and set Q = {x | x is a prime number less than 10}, what is the difference P - Q?
-
A.
{2, 4, 6, 8}
-
B.
{4, 6, 8}
-
C.
{2, 6, 8}
-
D.
{2, 4, 6, 8, 3, 5, 7}
Solution
Set P = {2, 4, 6, 8} and set Q = {2, 3, 5, 7}. The difference P - Q = {4, 6, 8}.
Correct Answer:
B
— {4, 6, 8}
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Q. If set P = {x | x is an even number less than 10} and set Q = {x | x is a prime number less than 10}, what is P ∩ Q?
-
A.
{2, 4, 6, 8}
-
B.
{2, 3, 5, 7}
-
C.
{2}
-
D.
{4, 6, 8}
Solution
The intersection P ∩ Q includes only the even prime number, which is {2}.
Correct Answer:
C
— {2}
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Q. If set P = {x | x is an even number less than 10} and set Q = {x | x is a prime number less than 10}, what is the union of sets P and Q?
-
A.
{2, 3, 4, 5, 6, 8}
-
B.
{2, 3, 5, 7}
-
C.
{2, 4, 6, 8}
-
D.
{2, 3, 4, 5, 7, 8}
Solution
Set P = {2, 4, 6, 8} and set Q = {2, 3, 5, 7}. The union is {2, 3, 4, 5, 6, 7, 8}.
Correct Answer:
D
— {2, 3, 4, 5, 7, 8}
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Q. If set P = {x | x is an even number less than 10} and set Q = {x | x is a prime number less than 10}, what is the intersection of sets P and Q?
-
A.
{2, 4, 6, 8}
-
B.
{2, 3, 5, 7}
-
C.
{2}
-
D.
{4, 6, 8}
Solution
The intersection of sets P and Q includes elements that are both even and prime. The only even prime number is 2.
Correct Answer:
C
— {2}
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Q. If set R = {1, 2, 3, 4, 5} and set S = {4, 5, 6, 7}, what is the symmetric difference of sets R and S?
-
A.
{1, 2, 3, 6, 7}
-
B.
{4, 5}
-
C.
{1, 2, 3, 4, 5, 6, 7}
-
D.
{6, 7}
Solution
The symmetric difference of sets R and S includes elements that are in either set but not in both. Thus, it is {1, 2, 3, 6, 7}.
Correct Answer:
A
— {1, 2, 3, 6, 7}
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Q. If set R = {1, 2, 3, 4} and set S = {3, 4, 5, 6}, what is the difference R - S?
-
A.
{1, 2}
-
B.
{3, 4}
-
C.
{5, 6}
-
D.
{}
Solution
The difference R - S includes elements in R that are not in S, which is {1, 2}.
Correct Answer:
A
— {1, 2}
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Q. If set R = {1, 2, 3, 4} and set S = {3, 4, 5, 6}, what is the symmetric difference of sets R and S?
-
A.
{1, 2, 5, 6}
-
B.
{3, 4}
-
C.
{1, 2, 3, 4, 5, 6}
-
D.
{3, 4, 5}
Solution
The symmetric difference is the set of elements in either set R or set S but not in both, which is {1, 2, 5, 6}.
Correct Answer:
A
— {1, 2, 5, 6}
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Q. If set T = {1, 2, 3} and set U = {2, 3, 4}, what is the difference T - U?
-
A.
{1}
-
B.
{2, 3}
-
C.
{4}
-
D.
{}
Solution
The difference T - U includes elements that are in set T but not in set U, which is {1}.
Correct Answer:
A
— {1}
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Q. If set T = {1, 2, 3} and set U = {2, 3, 4}, what is the hybrid set formed by the symmetric difference of T and U?
-
A.
{1, 4}
-
B.
{1, 2, 3, 4}
-
C.
{2, 3}
-
D.
{1, 2, 4}
Solution
The symmetric difference of sets T and U is {1, 4}, which includes elements that are in either set but not in both.
Correct Answer:
A
— {1, 4}
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Q. If set T = {1, 2, 3} and set U = {2, 3, 4}, what is the hybrid set formed by the intersection of T and U?
-
A.
{1, 2, 3, 4}
-
B.
{2, 3}
-
C.
{1, 4}
-
D.
{}
Solution
The hybrid set formed by the intersection of set T and set U includes only the elements that are common to both sets, which are {2, 3}.
Correct Answer:
B
— {2, 3}
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Q. If set X = {1, 2, 3} and set Y = {3, 4, 5}, what is the hybrid set formed by X and Y? (2023)
-
A.
{1, 2, 3, 4, 5}
-
B.
{3}
-
C.
{1, 2, 4, 5}
-
D.
{1, 2, 3, 4, 5, 6}
Solution
The hybrid set formed by combining sets X and Y includes all unique elements from both sets, resulting in {1, 2, 3, 4, 5}.
Correct Answer:
A
— {1, 2, 3, 4, 5}
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Q. If set X = {a, b, c} and set Y = {b, c, d}, what is the union of sets X and Y?
-
A.
{a, b, c, d}
-
B.
{b, c}
-
C.
{a, b}
-
D.
{c, d}
Solution
The union of sets X and Y includes all unique elements from both sets. Thus, the union is {a, b, c, d}.
Correct Answer:
A
— {a, b, c, d}
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Q. If set X contains elements {1, 2, 3} and set Y contains elements {3, 4, 5}, what is the hybrid set formed by the union of X and Y?
-
A.
{1, 2, 3, 4, 5}
-
B.
{1, 2, 3}
-
C.
{3, 4, 5}
-
D.
{1, 2, 4, 5}
Solution
The hybrid set formed by the union of sets X and Y includes all unique elements from both sets, which are {1, 2, 3, 4, 5}.
Correct Answer:
A
— {1, 2, 3, 4, 5}
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Q. If set X contains {1, 2, 3} and set Y contains {3, 4, 5}, what is the hybrid set formed by the union of X and Y?
-
A.
{1, 2, 3, 4, 5}
-
B.
{3}
-
C.
{1, 2}
-
D.
{4, 5}
Solution
The union of set X and set Y includes all unique elements from both sets, resulting in {1, 2, 3, 4, 5}.
Correct Answer:
A
— {1, 2, 3, 4, 5}
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Q. If set X contains {1, 2, 3} and set Y contains {3, 4, 5}, what is the hybrid set formed by the union of set X and set Y?
-
A.
{1, 2, 3, 4, 5}
-
B.
{1, 2, 3}
-
C.
{3, 4}
-
D.
{1, 2, 4, 5}
Solution
The hybrid set formed by the union of set X and set Y includes all unique elements from both sets, which are {1, 2, 3, 4, 5}.
Correct Answer:
A
— {1, 2, 3, 4, 5}
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Q. If set X contains {1, 2, 3} and set Y contains {3, 4, 5}, what is the intersection of set X and set Y?
-
A.
{1, 2, 3, 4, 5}
-
B.
{3}
-
C.
{1, 2}
-
D.
{}
Solution
The intersection of set X and set Y is {3}, as it is the only element common to both sets.
Correct Answer:
B
— {3}
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Q. If T is sitting between U and V in a circular arrangement, and W is sitting opposite T, who is sitting next to U?
Solution
Since T is between U and V, the person sitting next to U must be V.
Correct Answer:
B
— V
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Q. If T is sitting between U and V in a circular arrangement, and W is sitting opposite T, who is sitting next to V?
Solution
Since T is between U and V, U is next to V. W being opposite T does not change this adjacency.
Correct Answer:
B
— U
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Q. If T is sitting next to U and V is sitting next to W, which of the following arrangements is possible?
-
A.
T U V W
-
B.
U T W V
-
C.
V T U W
-
D.
W V T U
Solution
The arrangement U T W V is valid as T is next to U and V is next to W.
Correct Answer:
B
— U T W V
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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
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.
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
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
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.
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
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.
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
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.
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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