Sets and Functions Questions

• 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.
• 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:
• 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?
• √ 64009 is equal to :
• 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?
• If A = { 2 , 3 , 5 , 7 , 11 } and B = { 1, 3, 5, 7, 9, 11} then what is the value of A? B ?
• 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:
• 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.
• If A = { x : x = n-1/n+1, n ε W and n ≤ 10 } ;point out the correct statement from the following:
• Let A = {1, 2, {3, 4}, 5}. Which of the following statements are true?
• Let A = {1, 2, {3, 4}, 5}. Which of the following statements is true?
• Find the power set of A = {{a, b}, c}.
• In which of the following cases, A = B?
• Find the cardinal number of the following set {x: x = 2n, n ∈ N, 4 ≤ x ≤ 11}
• Which of the following pairs of sets are not equal?
• Which of the following pairs of sets are not equivalent?
• 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,
• 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)
• In a class of 100 students, the number of students passed in English only is 46, in Maths only is 46, in Commerce only is 58. The number who passed in English and Maths is 16, Maths and Commerce is 24 and English and Commerce is 26, and the number who passed in all the subjects is 7. Find the number of the students who failed in all the subjects.
• If A = {a, b}, B = {2, 3, 5, 6, 7} and C = {5, 6, 7, 8, 9}, find A × (B ∩ C).