Set Theory

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

Click on each question to see answer & solution.

Question No: #11

If `A-B=\phi`, then which one is true?

(a) `A\neB` (b) `A\subsetB` (c) `B\subsetA` (d) `A\capB=\phi`
Ans: (b) `A\subsetB`
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Question No: #12

If `A\capB^c=\phi`, then which is true?

(a) `A\subsetB` (b) `B\subsetA` (c) None of these
Ans: (a) `A\subsetB`
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Question No: #13

`A \cap (B - A) = -` (a) `A`, (b) `B`, (c) `\phi`, (d) `S`
Ans: (c) `\phi`
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Question No: #14

If `A\capB=B`, then which one is true?

(a) `A\subseteqB` (b) `B\subseteqA` (c) `A=B` (d) `A=\phi`
Ans: (b) `B\subseteqA`
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Question No: #15

If `A\capB=A` then `A\cupB` equals to -

(a) `A` (b) `B` (c) `\phi` (d) None of these
Ans: (b) `B`
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Question No: #16

For two unequal sets `A` and `B`, if `A \cup B = A`, then the correct option is -
(a) `A \cap B = A`, (b) `A \cap B = B`, (c) `A \cap B = B^c`, (d) `A \cap B = \phi`
Ans: (b) `A \cap B = B`
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Question No: #17

The set `(A\cupB^c)^c` equals to -

(a) `\phi` (b) `B` (c) `A-B` (d) `B-A`
Ans: (d) `B-A`
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Question No: #18

For two non-empty sets `A` ও `B`, if `A \subset B` then correct option is -
(a) `A \cap B = A^c`, (b) `A \cup B = A`, (c) `A \cap B = A`, (d) none of these.
Ans: (c) `A \cap B = A`
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Question No: #19

If `A\subsetB`, then `A^c\capB^c` equals to -

(a) `A^c` (b) `B^c` (c) `\phi` (d) None of these
Ans: (b) `B^c`
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Question No: #20

The set `(A\capB)\cap(A^c\cupB^c)` equals to -

(a) `A^c` (b) `B^c` (c) `\phi` (d) None of these
Ans: (c) `\phi`
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