Q. Two sets are called disjoint if there _____________ is the empty set.

  • (A) union complement
  • (B) difference
  • (C) intersection
  • (D) complement
πŸ’¬ Discuss
βœ… Correct Answer: (C) intersection

Q. Which of the following two sets are disjoint?

  • (A) {1, 3, 5} and {1, 3, 6}
  • (B) {1, 2, 3} and {1, 2, 3}
  • (C) {1, 3, 5} and {2, 3, 4}
  • (D) {1, 3, 5} and {2, 4, 6}
πŸ’¬ Discuss
βœ… Correct Answer: (D) {1, 3, 5} and {2, 4, 6}

Q. The difference of {1, 2, 3} and {1, 2, 5} is the set _________.

  • (A) {1}
  • (B) {5}
  • (C) {3}
  • (D) {2}
πŸ’¬ Discuss
βœ… Correct Answer: (C) {3}

Q. The complement of the set A is _____________.

  • (A) a – b
  • (B) u – a
  • (C) a – u
  • (D) b – a
πŸ’¬ Discuss
βœ… Correct Answer: (B) u – a

Q. The bit strings for the sets are 1111100000 and 1010101010. The union of these sets is ____________.

  • (A) 1010100000
  • (B) 1010101101
  • (C) 1111111100
  • (D) 1111101010
πŸ’¬ Discuss
βœ… Correct Answer: (D) 1111101010

Q. The set difference of the set A with null set is ________.

  • (A) A
  • (B) null
  • (C) U
  • (D) B
πŸ’¬ Discuss
βœ… Correct Answer: (A) A

Q. If A = {a,b,{a,c}, ∅}, then A - {a,c} is

  • (A) {a, b, ∅}
  • (B) {b, {a, c}, ∅}
  • (C) {c, {b, c}}
  • (D) {b, {a, c}, ∅}
πŸ’¬ Discuss
βœ… Correct Answer: (A) {a, b, ∅}

Q. The set (A - B) – C is equal to the set

  • (A) (a – b) ∩ c
  • (B) (a∪ b) – c
  • (C) (a – b) ∪ c
  • (D) (a ∪ b) – c
πŸ’¬ Discuss
βœ… Correct Answer: (D) (a ∪ b) – c

Q. Among the integers 1 to 300, the number of integers which are divisible by 3 or 5 is

  • (A) 100
  • (B) 120
  • (C) 130
  • (D) 140
πŸ’¬ Discuss
βœ… Correct Answer: (D) 140

Q. Using Induction Principle if 13 = 1, 23 = 3 + 5, 33 = 7 + 9 + 11, then

  • (A) 43= 15 + 17 + 19 + 21
  • (B) 43= 11 + 13 + 15 + 17 + 19
  • (C) 43 = 13 + 15 + 17 + 19
  • (D) 43 = 13 + 15 + 17 + 19 + 21
πŸ’¬ Discuss
βœ… Correct Answer: (C) 43 = 13 + 15 + 17 + 19

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