Set Theory

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #31

`A={1, 2, 3}`, `B = {3, 4}`, `C={4, 5, 6}` হলে `(A imes C) cap (B imes C)` = --
(a) {(1,4), (3,4)}, (b) {(3,4)}, (c) {3,4}, (d) এদের কোনোটিই নয়
Ans: (b) {(3,4)}
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Question No: #32

`(A cup B cup C) cap (A cap B^c cap C^c) cap C^c` এর সমান হলো-
(a) `B cap C^c`, (b) `A cap C`, (c) `B^c cap C^c`, (d) কোনোটিই নয়।
Ans: (a) `B \cap C^c`
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Question No: #33

`A`, `B` এবং `C` তিনটি সেট এবং `A cup B cup C = S` (`S` = সার্বিক সেট)। তবে `{(A - B) cup (B - C) cup (C - A)}^c` -এর সমান হবে --
(a) `A cup B cup C`, (b) `A cup (B cap C)`, (c) `A cap B cap C`, (d) `A cap (B cup C)`
Ans: (c) `A \cap B \cap C`
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Question No: #34

Question No: #35

Ans: N.A.
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Question No: #36

Question No: #37

Question No: #38

Ans: (a) `A^c = {3, 7,12}`
(b) `A \cup B = {1, 3, 5, 7, 9, 12, 15}`
(c) `A \cap B = {9, 15}`
(d) `A - B = {1, 5}`
(e) `B - A = {3, 7, 12}`
(f) `A^c \cup B^c = {1, 3, 5, 7, 12}`
(g) `A^c \cap B^c = \phi`
(h) `(A \cap B) \cup (A-B) = {1, 5, 9, 15}`
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Question No: #39

Ans: (a) Valid, (b) Invalid
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Question No: #40

Ans: (a) Valid, (b) Valid
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