Discussion
Home ‣ Aptitude ‣ Sets and Functions Comments
- Question
- 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.
- Correct Answer
- {3, 4} ? A;
ExplanationNA
- 1. 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
- 2. 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
- 3. If the number of items in a set A is n(A) = 40. If n(B) = 26 and n(A ? B) = 16 then n(A ? B) is equal to:
Options- A. 30
- B. 40
- C. 50
- D. 60 Discuss
- 4. If A = { 2 , 3 , 5 , 7 , 11 } and B = { 1, 3, 5, 7, 9, 11} then what is the value of A? B ?
Options- A. { 2, 3, 5, 7, 11 }
- B. { 1, 3, 5, 7, 9, 11}
- C. { 3, 5, 7, 11}
- D. { 2, 3, 5, 7, 9, 11} Discuss
- 5. There were 600 students in a school. Each offered either English or Hindi or Both . If 75% offered English and 45% Hindi, how many offered both?
Options- A. 48
- B. 60
- C. 80
- D. 120 Discuss
- 6. 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
- 7. 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
- 8. 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} Discuss
- 9. 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
- 10. 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
Sets and Functions problems
Search Results
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: 50
Explanation:
As we know the formula.
n(A ? B ) = n(A) + n(B) ? n(A ? B )
Given in the question,
n(A) = 40;
n(B) = 26;
n(A ? B ) = 16;
Put these value in formula and solve the equation.
n(A ? B ) = n(A) + n(B) ? n(A ? B )= 40 + 26 ? 16 = 50
Correct Answer: { 3, 5, 7, 11}
Explanation:
As we know that A ? B consists of the all numbers that are common in both the sets A and B.
The common numbers in the set A and B are 3 , 5 , 7, 11.
Hence the answer will be { 3, 5, 7, 11}.
Correct Answer: 120
Explanation:
n(A) = 75% of 600 = 450
n(B) = 45% of 600 = 270 and n(A ? B) = 600
? n(A?B) = n (A) + n(B) - n(A?B) = (450 + 270 - 600) = 120
Correct Answer: {3, 4} ? A
Explanation:
NA
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: A = ?, b = {}
Explanation:
NA
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.
Comments
There are no comments.More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.