Sets and Functions problems
- 1. 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
Correct Answer: 60%
Explanation:
In 40% students failed Hindi then 60% students passed in Hindi.
- 2. 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
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.
- 3. 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
Correct Answer: 20%
Explanation:
Required percentage
= 100 ? (40 + 25 + 15)
= 100 ? 80 = 20%
- 4. ? 64009 is equal to :
Options- A. 352
- B. 523
- C. 253
- D. 532 Discuss
Correct Answer: 253
Explanation:
NA
- 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
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
- 6. 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
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}.
- 7. 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 Also asked in: Bank Exams
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
- 8. 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
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.
- 9. 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
Correct Answer: 0 ? A
Explanation:
NA
- 10. 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
Correct Answer: {3, 4} ? A;
Explanation:
NA
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