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Short Quiz - Chapter 1 Class 11 Sets

Chapter 1 Class 11 Sets | 5 questions

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Question 1 of 5
Question 1 of 5
The difference \(A-B\) is defined as:

Correct option: B

Answer: B

Solution: By definition, elements in A minus B belong to A but not to B.

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Question 2 of 5
For any two sets A and \(\mathrm{B}, A=(A \cap B) \cup \ldots\) ?

Correct option: A

Answer: A

Solution: A set can be partitioned into the part that overlaps with B, and the part exclusively in A.

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Question 3 of 5
The set \(\left\{x: x\right.\) is a positive integer and \(\left.x^2<10\right\}\) is:

Correct option: A

Answer: A

Solution: The squares are \(1,4,9\) which are less than 10 . ( 0 is not positive).

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Question 4 of 5
If \(X=\left\{8^n-7 n-1: n \in N\right\}\) and \(Y=\{49(n-1): n \in N\}\), then:

Correct option: A

Answer: A

Solution: Expanding \((1+7)^n\) via binomial theorem shows X only contains multiples of 49. Y contains ALL multiples of 49. Hence X is a subset of Y .

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Question 5 of 5
According to De Morgan's Law, \((A \cup B)^{\prime}\) equals:

Correct option: B

Answer: B

Solution: The complement of a union is the intersection of the complements.

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