1.

3. Suppose set \( A \) consists of first 250 natural numbers that are multiples of 3 and set \( B \) consists of first 200 even natural numbers. How many elements does \( A \cup B \) have?(a) 324(b) 364(c) 384(d) 400

Answer» Given: n(A)=250
             n(B)=200

A={3,6,9,12,.......750}
B=2,4,6,8,10.......400}
Therefore,A⋂B={6,12,18....396)
                  =>n(A⋂B)=396/6=66
 
n(A∪B)=n(A)+n(B)-n(A⋂B)
              =250+200-66
              =384

Hence,the correct answer is option (c)384


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