Hybrid Sets

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Q. In a constraint-based set defined as {x | x is a multiple of 3 and x < 30}, which of the following is the smallest element?
  • A. 3
  • B. 6
  • C. 9
  • D. 12
Q. In a constraint-based set defined as {x | x is a positive integer and x is less than or equal to 5}, which of the following is the largest element?
  • A. 4
  • B. 5
  • C. 6
  • D. 3
Q. In a constraint-based set of colors, if red and blue are included, which of the following colors could be excluded based on the constraint of primary colors?
  • A. Green
  • B. Yellow
  • C. Purple
  • D. Orange
Q. In a constraint-based set of fruits, if the constraint is that all fruits must be tropical, which of the following would be excluded?
  • A. Mango
  • B. Banana
  • C. Apple
  • D. Pineapple
Q. In a constraint-based set, if the constraint is 'x must be a multiple of 3', which of the following numbers would be included in the set?
  • A. 4
  • B. 9
  • C. 10
  • D. 14
Q. In a constraint-based set, if the constraint is 'x must be a multiple of 5', which of the following numbers would be included in the set?
  • A. 12
  • B. 15
  • C. 22
  • D. 27
Q. In a constraint-based set, if the constraint is 'x must be a square number', which of the following numbers would be included?
  • A. 1
  • B. 2
  • C. 3
  • D. 5
Q. In a constraint-based set, if the constraint is 'x must be a vowel', which of the following letters would be included?
  • A. B
  • B. C
  • C. A
  • D. D
Q. In a constraint-based set, if the constraints are 'greater than 5' and 'less than 15', which of the following numbers is NOT included?
  • A. 6
  • B. 10
  • C. 15
  • D. 12
Q. In a constraint-based set, if the constraints are 'x is a multiple of 3 and x > 0', which of the following is NOT an element of this set?
  • A. 3
  • B. 6
  • C. 9
  • D. 10
Q. In a constraint-based set, if the constraints are 'x is a natural number and x < 10', which of the following is a valid element?
  • A. 10
  • B. 0
  • C. 5
  • D. −3
Q. In a constraint-based set, if the constraints are 'x is a positive integer and x is less than 10', which of the following is the largest element in the set?
  • A. 8
  • B. 9
  • C. 10
  • D. 7
Q. In a constraint-based set, if the constraints are modified to include only even numbers, which of the following sets would be valid?
  • A. {2, 4, 6, 8}
  • B. {1, 3, 5, 7}
  • C. {0, 1, 2, 3}
  • D. {-2, -4, -6, -8}
Q. In a constraint-based set, if the constraints are modified to include only even numbers, which of the following would be the new set if the original set was {1, 2, 3, 4, 5, 6}?
  • A. {2, 4, 6}
  • B. {1, 3, 5}
  • C. {1, 2, 3, 4, 5}
  • D. {2, 3, 4, 5, 6}
Q. In a constraint-based set, if the constraints are modified to include only even numbers, which of the following would be excluded?
  • A. 2
  • B. 4
  • C. 5
  • D. 6
Q. In a constraint-based set, if the constraints are modified to include only even numbers, which of the following elements would be excluded?
  • A. 2
  • B. 4
  • C. 5
  • D. 6
Q. In a constraint-based set, if the constraints are x < 0 and x > -5, which of the following values is valid?
  • A. -3
  • B. 0
  • C. -5
  • D. -6
Q. In a group of 150 people, 90 like dogs, 60 like cats, and 30 like both. How many people like only cats?
  • A. 30
  • B. 60
  • C. 90
  • D. 120
Q. In a group of 200 people, 120 like action movies, 80 like drama movies, and 50 like both. How many like only action movies?
  • A. 70
  • B. 50
  • C. 80
  • D. 120
Q. In a group of 200 people, 120 like action movies, 80 like drama, and 50 like both. How many like only action movies?
  • A. 70
  • B. 50
  • C. 80
  • D. 120
Q. In a group of 200 people, 120 like dogs, 80 like cats, and 50 like both. How many people like only dogs?
  • A. 70
  • B. 50
  • C. 80
  • D. 100
Q. In a group of 200 people, 120 like reading, 80 like writing, and 50 like both. How many people like only writing?
  • A. 30
  • B. 50
  • C. 80
  • D. 20
Q. In a group of 50 people, 30 like dogs, 25 like cats, and 10 like both. How many people do not like either dogs or cats?
  • A. 5
  • B. 10
  • C. 15
  • D. 20
Q. In a group of 50 people, 30 like dogs, 25 like cats, and 10 like both. How many people like only cats?
  • A. 15
  • B. 20
  • C. 10
  • D. 5
Q. In a group of 50 people, 30 like football, 25 like basketball, and 10 like both. How many people like neither sport?
  • A. 15
  • B. 20
  • C. 10
  • D. 5
Q. In a group of 50 people, 30 like reading fiction, 20 like reading non-fiction, and 5 like both. How many people do not like reading?
  • A. 15
  • B. 20
  • C. 25
  • D. 10
Q. In a hybrid set containing elements from both set A and set B, if the intersection of A and B is empty, what can be inferred? (2023)
  • A. A and B are identical.
  • B. A and B are disjoint.
  • C. A is a subset of B.
  • D. B is a subset of A.
Q. In a hybrid set scenario, if element x belongs to set A and element y belongs to set B, which of the following can be inferred about their relationship in the hybrid set?
  • A. Element x is equal to element y.
  • B. Element x and element y are both included in the hybrid set.
  • C. Element x cannot be in the hybrid set.
  • D. Element y is a subset of element x.
Q. In a hybrid set scenario, if element x is in set A and element y is in set B, which of the following can be inferred about their relationship in the hybrid set?
  • A. Element x is equal to element y.
  • B. Element x and element y are both in the hybrid set.
  • C. Element x is not in the hybrid set.
  • D. Element y is not in the hybrid set.
Q. In a hybrid set scenario, if element X is present in both set A and set B, what can be inferred about element X?
  • A. Element X is unique to set A.
  • B. Element X is unique to set B.
  • C. Element X is a common element in both sets.
  • D. Element X cannot be part of a hybrid set.
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