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Consider the set A = {2, 4, 6, 8}. Which type of set does A represent?

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Free Superintendent Of Survey And Land Records Practice Questions

Kerala Public Service CommissionRecruitment for Superintendent of Survey and Land Records in Kerala Government Service. The role involves managing survey and land records with a pay scale of ₹50,200 – 1,05,300.Direct recruitment2 vacancies available

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Q1. Consider the set A = {2, 4, 6, 8}. Which type of set does A represent?

  1. Infinite set
  2. Empty set
  3. Finite set
  4. Universal set

Q2. Consider the universal set \( U = \{1, 2, 3, 4, 5\} \) and the empty set \( \emptyset \). What is the intersection of \( U \) and \( \emptyset \)?

  1. \( \{1, 2, 3, 4, 5\} \)
  2. \( \emptyset \)
  3. \( \{0\} \)
  4. Undefined

Q3. Given the universal set \( U = \{a, b, c, d\} \) and a set \( B = \{b, d\} \), what is the complement of the empty set \( \emptyset \) with respect to \( U \)?

  1. \( \emptyset \)
  2. \( U \)
  3. \{a, b, c, d, e\} \)
  4. \{b, d\} \)

Q4. If a set A is infinite and a set B is finite, which of the following statements is always true?

  1. The union of A and B is finite.
  2. The union of A and B is infinite.
  3. The intersection of A and B is infinite.
  4. The difference B \ A is infinite.

Q5. In a survey, 40 people like tea, 30 people like coffee, and 15 people like both tea and coffee. How many people like tea or coffee?

  1. 55
  2. 70
  3. 85
  4. 25

Q6. Which of the following statements correctly defines when two sets A and B are considered equal?

  1. A and B have the same number of elements.
  2. Every element of A is in B and every element of B is in A.
  3. A is a subset of B.
  4. A and B have no elements in common.

Q7. Given the set of all integers Z and the set of even integers E, which of the following best describes their cardinalities?

  1. Both Z and E are finite sets.
  2. Z is infinite, but E is finite.
  3. Both Z and E are infinite and have the same cardinality.
  4. E is infinite and has greater cardinality than Z.

Q8. Compare the union operation with the intersection operation on sets. Which of the following statements is true?

  1. Union results in a set with fewer elements than intersection
  2. Intersection always contains all elements of the union
  3. Union combines all elements from both sets without duplication
  4. Union and intersection always produce the same set

Q9. Suppose a surveyor is counting the number of distinct land plots in a newly developed area. If the number of plots is finite, which of the following statements must be true?

  1. The set of land plots is infinite because land is continuous.
  2. The set of land plots has a finite cardinality equal to the number of plots counted.
  3. The set of land plots is infinite because each plot can be subdivided infinitely.
  4. The set of land plots is empty.

Q10. Which statement correctly compares subset and proper subset?

  1. Every subset is a proper subset.
  2. A proper subset can be equal to the original set.
  3. A proper subset contains fewer elements than the original set.
  4. Subset and proper subset mean the same.

Q11. Given two sets P = {1, 2, 3} and Q = {3, 2, 1}, which of the following is true?

  1. P and Q are equal sets.
  2. P is a subset of Q but not equal.
  3. Q is a subset of P but not equal.
  4. P and Q are disjoint sets.

Q12. Which of the following statements correctly defines the empty set?

  1. A set containing all possible elements.
  2. A set that contains no elements.
  3. A set that contains exactly one element.
  4. A set that contains only universal elements.

Q13. Consider two sets A and B where A ∪ B = A. Which of the following statements must be true?

  1. B is a subset of A
  2. A is a subset of B
  3. A and B are disjoint
  4. A and B have no elements in common

Q14. Given sets A = {1, 3, 5} and B = {2, 3, 4}, what is the union A ∪ B?

  1. {1, 2, 3, 4, 5}
  2. {3}
  3. {1, 3, 5}
  4. {2, 4}

Q15. Which of the following sets is an example of a singleton set?

  1. {0}
  2. {1, 2}
  3. {}
  4. {a, b, c}
Free Superintendent Of Survey And Land Records Practice Questions | Kerala PSC Prep