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Question

Which of the following pairs of sets are disjoint?


  1. {x: x is a prime number} and {x: x is an even number}

  2. {3, 4, 5, 6, 7} and {x: x is a natural number and 7 x 10}

  3. {x: x is an odd number} and {x: x is an even number}

  4. {x: x is an odd number} and {x:x is a multiple of 3}


Solution

The correct option is C

{x: x is an odd number} and {x: x is an even number}


Two sets are disjoint if their intersection is a null set. Out of the given options, the option with sets {x: x is an odd number} and {x: x is an even number} have no elements in common. Thus, these sets are disjoint.

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