2) The production manage of a company examined 100 items and furnished the following report:
Defect in measuring 50, defect in coloring 30, defect in quality 23, defect in measurement and coloring 8, defect in quality and measurement 20, defect in quality and coloring 10 and 5 are defective in all respects. The manager was penalised for the report. Use set theory to explain the reason for penal measure.
3) If A={1,2,3,4} and B={3,4,5} and C={1,4,5} then verify find A - (B U C)= (A- B)∩(A - C).
4) A market research group conducted a survey of 1000 customers and reported that 700 consumers like product A and 480 consumers like product B. What is the least number that must have liked both the products?
5) If A={1,2,3,4} and B={2,4,5, 6} and C={1,3,4,6,8} then find A ∩(B U C).
6) In a class of 75 students, 48 read Bengali, 33 read mathematics and 19 read both the subjects. How many of them read none of these subjects!
7) If A={1,2,3,4} and B={2,4,5, 6} and C={3,4,6} then find A - (B U C) and (A- (B∩ C).
8) If A={x, y, z{ then write down the power set of A.
9) If S={1,2,3,4,5,6,7,8,9,10}, A={1,2,3,4} and B={2,4,6,8,10} then find (A UB)' And (A∩B)'
10) Three sets A, B, C be such that A- B={2,4,6}; A- C={2,3,5}; find
A - (B U C) and A- (B∩C).
11) Using set theory, find the LCM and HCF of 4, 6 and 8.
12) If A={p,q,r,s} and B={r,s,t} and C={p,s,t} then verify find A - (B U C)= (A- B)∩(A - C).
13) If A={1,4} and B={4,5} and C={5,7} then find (A x B) U(A x C)
14) If A={x:x is an integer and 1 ≤ x ≤ 10} and B={x:x is a multiple of 3 and 5 ≤ x ≤ 30}, find A∩B.
15) Using set theory find the HCF of 15, 40, 105.
16) Find the power set of {2,3,5}.
17) If A={1,2,3} and B={4,6,8} then find A x B.
18) If A={x:x is a natural number and x ≤ 6} and B={x:x is the natural numbers and 3 ≤ x ≤ 8}, find A - B and A∩B.
19) In a class of 100 students, 55 students studied history, 41 students studied English and 25 students studied both the subjects. Find the number of students who study neither of the subjects.
20) If A={1,2} find the power set of A.
21) If A={1,2,3,4} and B={2,4,5,8} and C={3,45,6,7} then find A U (B ∩C) and A ∩(B U C).
22) Each students in a class of 40, plays atleast one of the games hockey, football and cricket; 16 play hockey, 20 football, 26 cricket, 5 play hockey and football, 14 football and cricket and hockey, football and cricket. Find the number of students who play hockey and cricket but not football.
23) If A={x: x²- 5x +6= 0}, B={2,4} and C={4,5} then AX (B ∩ C) is
A) a null set
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