Hybrid Sets

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Q. A survey shows that 40% of people like apples, 30% like bananas, and 10% like both. What percentage of people like either apples or bananas?
  • A. 60%
  • B. 70%
  • C. 50%
  • D. 80%
Q. A survey shows that 70% of people like chocolate, 50% like vanilla, and 20% like both. What percentage of people like either chocolate or vanilla?
  • A. 100%
  • B. 90%
  • C. 80%
  • D. 70%
Q. Arrange the following sentences to create a logical sequence: 1. The sun was setting. 2. The sky turned a brilliant orange. 3. People gathered to watch the sunset. 4. It was a beautiful evening.
  • A. 1, 2, 3, 4
  • B. 2, 1, 4, 3
  • C. 3, 1, 2, 4
  • D. 1, 3, 4, 2
Q. Arrange the following sentences to form a coherent paragraph: 1. The sun was setting, casting a golden hue over the landscape. 2. As the day came to an end, the sky transformed into a canvas of colors. 3. It was a moment of tranquility, where time seemed to stand still. 4. People gathered to witness the breathtaking view.
  • A. 1, 2, 3, 4
  • B. 2, 1, 4, 3
  • C. 4, 3, 2, 1
  • D. 3, 4, 1, 2
Q. Arrange the following sentences to form a coherent paragraph: 1. This is a common misconception. 2. Many believe that intelligence is fixed. 3. However, research shows that intelligence can be developed. 4. Understanding this can lead to better learning outcomes.
  • A. 2, 1, 3, 4
  • B. 1, 2, 3, 4
  • C. 2, 3, 1, 4
  • D. 3, 2, 4, 1
Q. Arrange the following statements to form a logical sequence: A. The team worked tirelessly. B. They were rewarded for their efforts. C. Their project was a success. D. The deadline was approaching.
  • A. A, D, C, B
  • B. D, A, C, B
  • C. C, D, A, B
  • D. B, A, D, C
Q. Choose the word that best completes the sentence: 'Despite the __________ of the situation, she remained calm and composed.'
  • A. seriousness
  • B. triviality
  • C. ambiguity
  • D. simplicity
Q. Given the constraints that X must be scheduled before Y, and Z must be scheduled after Y, which of the following sequences is correct?
  • A. X, Y, Z
  • B. Y, Z, X
  • C. Z, X, Y
  • D. Y, X, Z
Q. Given the tasks A, B, C, D, and E, if A and B must be done before C, and C must be done before D, which of the following is an invalid order?
  • A. A, B, C, D, E
  • B. B, A, C, D, E
  • C. C, A, B, D, E
  • D. A, C, B, D, E
Q. Given the tasks P, Q, R, and S, if P must be done before Q and R, and S can be done at any time, which of the following is a possible order of completion?
  • A. P, Q, R, S
  • B. R, P, Q, S
  • C. S, P, Q, R
  • D. Q, R, P, S
Q. Identify the error in the following sentence: 'Neither the manager nor the employees was aware of the changes in policy.'
  • A. Neither should be replaced with Either.
  • B. Was should be replaced with were.
  • C. The sentence is correct.
  • D. Employees should be singular.
Q. Identify the sentence that is logically inconsistent: 1. All birds can fly. 2. Penguins are birds. 3. Penguins cannot fly. 4. Therefore, penguins are not birds.
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If 'A' is taller than 'B', and 'B' is taller than 'C', which of the following statements is necessarily true?
  • A. A is taller than C.
  • B. C is taller than A.
  • C. B is shorter than A.
  • D. C is shorter than B.
Q. If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either apples or oranges?
  • A. 35%
  • B. 30%
  • C. 25%
  • D. 20%
Q. If 40 students play cricket, 30 play football, and 10 play both, how many students play either cricket or football?
  • A. 60
  • B. 70
  • C. 50
  • D. 80
Q. If 40 students play cricket, 30 play football, and 10 play both, how many students play only cricket?
  • A. 30
  • B. 20
  • C. 10
  • D. 40
Q. If 45% of people like tea, 35% like coffee, and 15% like both, what percentage of people like neither tea nor coffee?
  • A. 25%
  • B. 15%
  • C. 30%
  • D. 20%
Q. If 50% of students like soccer, 30% like basketball, and 10% like both, what percentage of students like only soccer?
  • A. 40%
  • B. 30%
  • C. 20%
  • D. 10%
Q. If 60% of students like reading fiction, 40% like reading non-fiction, and 10% like both, what percentage of students like only fiction?
  • A. 50%
  • B. 40%
  • C. 30%
  • D. 20%
Q. If 60% of students like reading, 40% like writing, and 10% like both, what percentage of students like either reading or writing?
  • A. 90%
  • B. 80%
  • C. 70%
  • D. 60%
Q. If 70% of students in a school play football, 50% play basketball, and 20% play both, what percentage of students play either football or basketball?
  • A. 100%
  • B. 90%
  • C. 80%
  • D. 70%
Q. If a class is scheduled every Tuesday and Thursday, which of the following days can a student not attend without missing a class?
  • A. Monday
  • B. Wednesday
  • C. Friday
  • D. Saturday
Q. If a conference is scheduled to last for 3 hours and must start between 1 PM and 3 PM, which of the following is a valid start time?
  • A. 12:30 PM
  • B. 1:30 PM
  • C. 2:45 PM
  • D. 3:15 PM
Q. If a hybrid set contains elements from three different sets, what can be inferred about its composition?
  • A. It must contain at least one element from each set.
  • B. It can only contain elements from the largest set.
  • C. It will have no duplicates.
  • D. It can include elements that are not in any of the three sets.
Q. If a hybrid set is defined as the combination of set R = {x, y} and set S = {y, z}, which of the following is the correct representation of the hybrid set?
  • A. {x, y, z}
  • B. {y}
  • C. {x, y}
  • D. {y, z}
Q. If a set A contains elements {1, 2, 3, 4, 5} and a constraint states that only even numbers can be included, what will be the resulting set?
  • A. {2, 4}
  • B. {1, 3, 5}
  • C. {1, 2, 3, 4, 5}
  • D. {}
Q. If a set A is defined by the constraints x > 5 and x < 10, which of the following numbers is NOT a member of set A?
  • A. 6
  • B. 7
  • C. 10
  • D. 9
Q. If a set D is defined as {x | x is a positive integer and x is less than or equal to 15}, how many elements are in set D?
  • A. 10
  • B. 15
  • C. 14
  • D. 16
Q. If a set is defined as containing all prime numbers less than 20, which of the following numbers is NOT in the set?
  • A. 2
  • B. 3
  • C. 4
  • D. 19
Q. If a set is defined by the constraint of being a natural number, which of the following is included?
  • A. -1
  • B. 0
  • C. 1
  • D. 2.5
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