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- Question
- The Cartesian product A × A has 9 elements and two of them are (-1, 0) and (0, 1). Find the set A?
Options- A. A = {0, 1}
- B. A = {-1, 0, 1}
- C. A = {0, -1}
- D. A = {1, -1,}
- Correct Answer
- A = {-1, 0, 1}
ExplanationNA
- 1. Let A = {1, 2}, B = {2, 3}. Evaluate A × B.
Options- A. {(2, 1), (3, 1), (2, 3)}
- B. {(1, 2), (1, 3), (2, 3)}
- C. {(1, 2), (1, 3), (2, 2), (2, 3)}
- D. None of these Discuss
- 2. If S and T are two sets such that S has 21 elements, T has 32 elements, and S ? T has 11 elements, how many elements does S ? T have?
Options- A. 52
- B. 32
- C. 42
- D. None of these Discuss
- 3. If U = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11}, A = {3, 5, 7, 9, 11} and B = {7, 8, 9, 10, 11}, Then compute (A ? B)?.
Options- A. {2, 3, 5, 7, 9, 11, 12}
- B. {2, 4, 6, 8, 10, 11, 12}
- C. {2, 4, 6, 8, 9, 10, 11}
- D. None of these Discuss
- 4. 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. C
- D. None of these Discuss
- 5. Which of the following statements is true?
Options- A. Every subset of a finite set is finite.
- B. Every subset of an infinite set is infinite.
- C. Every subset of an infinite set is finite.
- D. A proper subset of a finite set is equivalent to the set itself. Discuss
- 6. In an examination, 40% students failed in Hindi, 50% students failed in English. If 21% students failed in both the subjects, find the percentage of those who passed in Hindi.
Options- A. 31%
- B. 40%
- C. 55%
- D. 60% Discuss
- 7. In a certain office, 72% of the workers prefer cold drink and 44% prefer tea. If each of them prefers cold drink or tea and 40 like both, then the total number of workers in the office is:
Options- A. 40
- B. 240
- C. 220
- D. 210 Discuss
- 8. In a survey of a town, it was found that 65% of the people surveyed watch the news on T.V. 40% read a newspaper and 25% read a newspaper and watch the news on T.V. What per cent of the people surveyed neither watch the news on T.V. nor read a newspaper?
Options- A. 5%
- B. 10%
- C. 20%
- D. 15% Discuss
- 9. ? 64009 is equal to :
Options- A. 352
- B. 523
- C. 253
- D. 532 Discuss
- 10. 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
Sets and Functions problems
Search Results
Correct Answer: {(1, 2), (1, 3), (2, 2), (2, 3)}
Explanation:
A × B = {1, 2} × {2, 3}
= {(1, 2), (1, 3), (2, 2), (2, 3)}.
Correct Answer: 42
Explanation:
Given in the question,
n(S) = 21, n(T) = 32, n(S ? T) = 11, n(S ? T) = ?
Using the formula,
n(S ? T) = n(S) + n(T) ? n(S ? T) = 21 + 32 ? 11 = 42
Hence, S ? T has 42 elements.
Correct Answer: None of these
Explanation:
A ? B is a set of member which belong to A but do not belong to B
? A ? B = {3, 5, 7, 9, 11} - {7, 8, 9, 10, 11}
A ? B = {3, 5}
According to formula,
(A ? B)? = U - (A ? B)
? (A ? B)? = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11} - {3, 5}
(A ? B)? = {2, 4, 6, 7, 8, 9, 10, 11}.
Correct Answer: C
Explanation:
B = {5, 10, 15,?}
C = {10, 20, 30,?}
B ? C = {5, 10, 15,?} ? {10, 20, 30,?}
B ? C = {5, 10, 15,?}
? A ? (B ? C) = {2, 4, 6,?} ? {5, 10, 15,?} = {10, 20, 20,?} = C.
Correct Answer: Every subset of a finite set is finite.
Explanation:
NA
Correct Answer: 60%
Explanation:
In 40% students failed Hindi then 60% students passed in Hindi.
Correct Answer: 40
Explanation:
72% + 44% = 116%
? 16% ? 40
? 100% ? 40 100 16 × = 250
Hence, 16% workers are there who prefer both drinks which are 40 in number.
Correct Answer: 20%
Explanation:
Required percentage
= 100 ? (40 + 25 + 15)
= 100 ? 80 = 20%
Correct Answer: 253
Explanation:
NA
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
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