Discussion
Home ‣ Aptitude ‣ Sets and Functions Comments
- Question
- In which of the following cases, A = B?
Options- A. A = {12, 14, 16}, B = {16, 18, 20}
- B. A = ?, b = {}
- C. A = {x: x ? W and x < 1}, B = ?
- D. A = {x: x is a day of the week beginning with S}, B = {Sunday}
- Correct Answer
- A = ?, b = {}
ExplanationNA
- 1. Find the power set of A = {{a, b}, c}.
Options- A. {?, {a, b}, {c}}
- B. {A, {a, b}, {c}}
- C. {?, A, {a, b}, {c}}
- D. None of these Discuss
- 2. Let A = {1, 2, {3, 4}, 5}. Which of the following statements is true?
Options- A. {3, 4} ? A
- B. {3, 4} ? A
- C. 1 ? A
- D. {1, 2, 5} ? A Discuss
- 3. Let A = {1, 2, {3, 4}, 5}. Which of the following statements are true?
Options- A. {3, 4} ? A;
- B. {3, 4} ? A;
- C. {{3, 4}} ? A;
- D. {1, 3, 5} ? A. Discuss
- 4. If A = { x : x = n-1/n+1, n ? W and n ? 10 } ;point out the correct statement from the following:
Options- A. 0 ? A
- B. 0 ? A
- C. 0 ? A
- D. 1/3 ? A Discuss
- 5. If U = {a, b, c, d, e, f}, A = {a, b, c}, B = {c, d, e, f}, and C = {c, d, e} find (A ? B) ? C.
Options- A. A
- B. B
- C. C
- D. U Discuss
- 6. Find the cardinal number of the following set {x: x = 2n, n ? N, 4 ? x ? 11}
Options- A. 8
- B. 6
- C. 12
- D. 4 Discuss
- 7. Which of the following pairs of sets are not equal?
Options- A. (a) A = {1, 3, 3, 1}, B = {1, 4}
- B. (b) A = {x: x + 2 = 2}, B = {0}
- C. (c) A = {1, 3, 4, 4}, B = {3, 1, 4}
- D. (d) A = {1,1/2,1/3,... }, B { 1/n : n? N } . Discuss
- 8. Which of the following pairs of sets are not equivalent?
Options- A. A = {2, 4, 6, 8}, B = {u, v, w, x}
- B. A = {a, b, c}, B = {?, ?, ?, ?, ?}
- C. A = {}, B = ?
- D. A = {x: x = 2n, n ? N}, B = {x: x = 2n + 1, n ? N}. Discuss
- 9. Let A = {x: x ? N ? x is a multiple of 2};
B = {x: x ? N ? x is a multiple of 5};
C = {x: x ? N ? x is a multiple of 10};
Describe the set (A ? B) ? C,
Options- A. A
- B. B
- C. A ? B
- D. C Discuss
- 10. If U = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11},
A = {2, 4, 7},
B = {3, 5, 7, 9, 11} and
C = {7, 8, 9, 10, 11}.
compute: (A ? U) ? (B ? C)
Options- A. {7}
- B. {9}
- C. {6}
- D. {5} Discuss
Sets and Functions problems
Search Results
Correct Answer: {?, A, {a, b}, {c}}
Explanation:
Let, A = {{a, b}, c}. To determine P(A) : Since A contains two elements {a, b}, c, P(A) will contain 22 = 4 elements.
The elements of P(A) are ?, A, {a, b}, {c}.
Correct Answer: {3, 4} ? A
Explanation:
NA
Correct Answer: {3, 4} ? A;
Explanation:
NA
Correct Answer: 0 ? A
Explanation:
NA
Correct Answer: U
Explanation:
A ? B = { a, b, c } ? { c, d, e, f } = { a, b, c, d, e, f }
? (A ? B) ? C = { a, b, c, d, e, f } ? { c, d, e }
= { a, b, c, d, e, f }
= U.
Correct Answer: 4
Explanation:
NA
Correct Answer: (a) A = {1, 3, 3, 1}, B = {1, 4}
Explanation:
(a) A = {1, 3}; B = {1, 4}. A and B have different elements,
? A ? B.
(b) A = {x: x + 2 = 2} = {0}; B = {0}. A and B have same elements,
? A = B.
(c) A = {1, 3, 4, 4} = {1, 3, 4}; B = {3, 1, 4}. A and B have same elements,
? A = B.
(d) A = { 1,1/2,1/3, ................ } ;
B = {1/n : n ? N} = { 1/1,1/2,1/3,...} .
A and B have same elements, ? A = B.
Correct Answer: A = {a, b, c}, B = {?, ?, ?, ?, ?}
Explanation:
NA
Correct Answer: C
Explanation:
A = {2, 4, 6,?}
B = {5, 10, 15,?}
C = {10, 20, 30,?}
? (A ? B) = {2, 4, 6?} ? {5, 10, 15,?} = {10, 20, 30,?} = C
? (A ? B) ? C = C ? C = C.
Correct Answer: {7}
Explanation:
A ? U = {2, 4, 7} ? {2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
A ? U = {2, 4, 7};
B ? C = {3, 5, 7, 9, 11} ? {7, 8, 9, 10, 11}.
B ? C = {3, 5, 7, 8, 9, 10, 11}.
Then (A ? U) ? (B ? C) = {2, 4, 7,} ? {3, 5, 7, 8, 9, 10, 11}
(A ? U) ? (B ? C) = {7}.
Comments
There are no comments.More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.