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Karnataka Board PUCPUC Science Class 11

PUC Science Class 11 - Karnataka Board PUC Question Bank Solutions

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Identify whether the following set is finite or infinite.

The set of prime numbers less than 99.

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State whether the following set is finite or infinite:

The set of lines which are parallel to the x-axis.

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State whether the following set is finite or infinite:

The set of letters in the English alphabet.

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State whether the following set is finite or infinite:

The set of numbers which are multiple of 5.

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State whether the following set is finite or infinite:

The set of animals living on the earth.

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State whether the following set is finite or infinite:

The set of circles passing through the origin (0, 0).

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Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = Φ.

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Which of the following sets are finite and which are infinite? 

Set of concentric circles in a plane

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Which of the following sets are finite and which are infinite? 

 Set of letters of the English Alphabets 

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Which of the following sets are finite and which are infinite? 

{x ∈ N : x > 5}

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Which of the following sets are finite and which are infinite? 

 {x = ∈ N : x < 200}

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Which of the following sets are finite and which are infinite?

{x ∈ Z : x < 5}; 

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Which of the following sets are finite and which are infinite? 

 {x ∈ R : 0 < x < 1}.

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Which of the following statements are true? Give reason to support your answer.
(i) For any two sets A and B either \[A \subseteq B o\text{ or } B \subseteq A;\]

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Which of the following statements are true? Give reason to support your answer. 

Every subset of an infinite set is infinite 

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Which of the following statements are true? Give reason to support your answer. 

Every subset of a finite set is finite

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Which of the following statements are true? Give reason to support your answer. 

Every set has a proper subset

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Which of the following statements are true? Give reason to support your answer. 

{ababab, ...} is an infinite set

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Which of the following statements are true? Give reason to support your answer. 

 {abc} and {1, 2, 3} are equivalent sets 

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Which of the following statements are true? Give reason to support your answer. 

A set can have infinitely many subsets.

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